References

Shirley Abelman, Kailash Patidar,
Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations,
Computers and Mathematics with Applications,
Volume 55, Number 4, 2008, pages 733-744.
Roger Abernathy, Robert Smith,
Algorithm 724: Program to calculate F percentiles,
ACM Transactions on Mathematical Software,
Volume 19, Number 4, December 1993, pages 481-483.
Milton Abramowitz, Irene Stegun,
Handbook of Mathematical Functions,
National Bureau of Standards, 1964,
ISBN: 0-486-61272-4,
LC: QA47.A34.
David Ackley,
A connectionist machine for genetic hillclimbing,
Springer, 1987,
ISBN13: 978-0898382365,
LC: Q336.A25.
AG Adams,
Algorithm 39: Areas under the normal curve,
Computer Journal,
Volume 12, Number 2, May 1969, pages 197-198.
Eldridge Adams,
Territory size and shape in fire ants: a model based on neighborhood interactions,
Ecology,
Volume 79, Number 4, June 1998, pages 1125-1134.
Jeanne Adams, Walter Brainerd, Jeanne Martin, Brian Smith, Jerrold Wagener,
Fortran90 Handbook,
Complete ANSI/ISO Reference,
McGraw Hill, 1992,
ISBN: 0-07-000406-4,
LC: QA76.73.F28.F67.
Sidney Addelman, Oscar Kempthorne,
Some main-effect plans and orthogonal arrays of strength two,
Annals of Mathematical Statistics,
Volume 32, Number 4, December 1961, pages 1167-1176.
Adobe Developer's Association,
TIFF Revision 6.0,
Adobe Systems Incorporated, 1992.
Adobe Systems, Incorporated,
PostScript Language Reference Manual,
Third Edition,
Addison Wesley, 1999,
ISBN: 0201379228,
LC: QA76.73.P67P67.
Joseph Adler,
R in a Nutshell,
O'Reilly, 2009,
ISBN13: 978-0-596-80170-0.
MJ Aegerter,
Construction of a set of test matrices,
Communications of the ACM,
Volume 2, Number 8, August 1959, pages 10-12.
George Agoston,
Color Theory and Its Application in Art and Design,
Second edition,
Springer, 1987,
ISBN: 038709654X,
LC: QC495.A32.
Joachim Ahrens, Ulrich Dieter,
Computer methods for sampling from the exponential and normal distributions,
Communications of the ACM,
Volume 15, Number 10, October 1972, pages 873-882.
Joachim Ahrens, Ulrich Dieter,
Extensions of Forsythe's method for random sampling from the normal distribution,
Mathematics of Computation,
Volume 27, Number 124, October 1973, page 927-937.
Joachim Ahrens, Ulrich Dieter,
Computer methods for sampling from Gamma, Beta, Poisson and binomial distributions,
Computing,
Volume 12, Number 3, September 1974, pages 223-246.
Joachim Ahrens, Ulrich Dieter,
Generating Gamma variates by a modified rejection technique,
Communications of the ACM,
Volume 25, Number 1, January 1982, pages 47-54.
Joachim Ahrens, Ulrich Dieter,
Computer Generation of Poisson Deviates From Modified Normal Distributions,
ACM Transactions on Mathematical Software,
Volume 8, Number 2, June 1982, pages 163-179
Joachim Ahrens, Klaus-Dieter Kohrt, Ulrich Dieter,
Algorithm 599: Sampling from Gamma and Poisson Distributions,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 255-257.
Imran Akhtar, Zhu Wang, Jeff Borggaard, Traian Iliescu,
A new closure strategy for proper orthogonal decomposision reduced-order models,
Journal of Computational and Nonlinear Dynamics,
Volume 7, July 2012, 6 pages.
Hiroshi Akima,
Bivariate Interpolation and Smooth Surface Fitting,
ACM Transactions on Mathematical Software,
Volume 4, Number 2, June 1978, pages 148-159.
Hiroshi Akima,
Algorithm 526: A Method of Bivariate Interpolation and Smooth Surface Fitting for Values Given at Irregularly Distributed Points,
ACM Transactions on Mathematical Software,
Volume 4, Number 2, June 1978, pages 160-164.
Hiroshi Akima,
On Estimating Partial Derivatives for Bivariate Interpolation of Scattered Data,
Rocky Mountain Journal of Mathematics,
Volume 14, Number 1, Winter 1984, pages 41-51.
Jochen Alberty, Carsten Carstensen, Stefan Funken,
Remarks Around 50 Lines of MATLAB: A Short Finite Element Implementation,
Numerical Algorithms,
Volume 20, Number 2-3, August 1999, pages 117-137.
Matthew Allen, Dominic Tildesley,
Computer Simulation of Liquids,
Oxford University Press, 1987,
ISBN: 0198556454,
LC: QC145.2.
Kathleen Alligood, Tim Sauer, James Yorke,
Chaos: An Introduction to Dynamical Systems,
Springer, 1997,
ISBN: 0-387-94677-2,
LC: QA614.8.A44.
Martin Alnaes, Kent-Andre Mardal,
On the efficiency of symbolic computations combined with code generation for finite element methods,
ACM Transactions on Mathematical Software,
Volume 37, Number 1, Article 6, January 2010.
Martin Alnaes, Anders Logg, Kristian Olgaard, Marie Rognes, Garth Wells,
Unified Form Language: a domain-specific language for weak formulations of partial differential equations,
ACM Transactions on Mathematical Software,
Volume 40, Number 2, Article 9, February 2014.
Bradley Alpert,
Hybrid Gauss-Trapezoidal Quadrature Rules,
SIAM Journal on Scientific Computing,
Volume 20, Number 5, pages 1551-1584, 1999.
Steve Althoen, Larry King, Kenneth Schilling,
How long is a game of Snakes and Ladders?,
The Mathematical Gazette,
Volume 77, Number 478, March 1993, pages 71-76.
Donald Amos,
Computation of Modified Bessel Functions and Their Ratios,
Mathematics of Computation,
Volume 28, Number 125, January 1974, pages 239-251.
Donald Amos, SL Daniel, MK Weston,
CDC 6600 subroutines IBESS and JBESS for Bessel functions I(NU,X) and J(NU,X),
ACM Transactions on Mathematical Software,
Volume 3, Number 1, March 1977, pages 76-92.
Donald Amos,
Algorithm 644, A Portable Package For Bessel Functions of a Complex Argument and Nonnegative Order,
ACM Transactions on Mathematical Software,
Volume 12, Number 3, September 1986, pages 265-273
Donald Amos,
Remark on Algorithm 644,
ACM Transactions on Mathematical Software,
Volume 16, Number 4, December 1990, page 404.
Donald Amos,
Remark on Algorithm 644 (Improvements in Algorithm 644),
ACM Transactions on Mathematical Software,
Volume 21, Number 4, December 1995, pages 388-393.
Donald Anderson,
Gaussian Quadrature Formulae for the integral from 0 to 1 of -ln(X) f(X) dx,
Mathematics of Computation,
Volume 19, Number 91, Number 3, July 1965, pages 477-481.
Edward Anderson, Zhaojun Bai, Christian Bischof, Susan Blackford, James Demmel, Jack Dongarra, Jeremy DuCroz, Anne Greenbaum, Sven Hammarling, Alan McKenney, Danny Sorensen,
LAPACK User's Guide,
Third Edition,
SIAM, 1999,
ISBN: 0898714478,
LC: QA76.73.F25L36.
Marlow Anderson, Todd Feil,
Turning Lights Out With Linear Algebra,
Mathematics Magazine,
Volume 71, Number 4, October 1998, pages 300-303.
Harry Andrews, Claude Patterson,
Outer Product Expansions and Their Uses in Digital Image Processing,
American Mathematical Monthly,
Volume 82, Number 1, January 1975, pages 1-13.
Larry Andrews,
Special Functions of Mathematics for Engineers,
Second Edition,
Oxford University Press, 1998,
ISBN: 0819426164,
LC: QA351.A75.
Edward Angel,
Interactive Computer Graphics, a Top-Down Approach with OpenGL,
Addison-Wesley, 2000,
ISBN: 0-201-38597-X,
LC: T385.A514.
Anonymous,
A Correction; Welcome to 51,254,
The New York Times,
01 January 2000, Volume 149, Issue 51254.
Francis Anscombe,
Graphs in Statistical Analysis,
The American Statistician,
Volume 27, Number 1, February 1973, pages 17-21.
IA Antonov, VM Saleev,
An Economic Method of Computing LP Tau-Sequences,
USSR Computational Mathematics and Mathematical Physics,
Volume 19, 1980, pages 252-256.
Peter Arbenz, Wesley Petersen,
Introduction to Parallel Computing, A practical guide with examples in C,
Oxford University Press,
ISBN: 0-19-851576-6,
LC: QA76.58.P47.
Rick Archibald, Anne Gelb, Jungho Yoon,
Polynomial fitting for edge detection in irregularly sampled signals and images,
SIAM Journal on Numerical Analysis,
Volume 43, Number 1, 2006, pages 259-279.
Rick Archibald, Anne Gelb, Jungho Yoon,
Determining the location of discontinuities in the derivatives of functions,
Applied Numerical Mathematics,
Volume 58, 2008, pages 577-592.
David Arnold, John Polking,
Ordinary Differential Equations using Matlab,
Second Edition,
Prentice Hall, 1999,
ISBN: 0130113816,
LC: QA371.D37.P65.
Douglas Arnold, Franco Brezzi, Michel Fortin,
A stable finite element for the Stokes equations,
Estratto da Calcolo,
Volume 21, Number 4, October-December 1984, pages 337-344.
Hossein Arsham, Stephen Shao,
Seasonal and cyclic forecasting for the small firm,
American Journal of Small Business,
Volume 9, Number 4, Spring 1985, pages 46-57.
Oleg Arushanian, MK Samarin, Valentin Voevodin, Evgeny Tyrtyshnikov, Burton Garbow, James Boyle, Wayne Cowell, Kenneth Dritz,
The TOEPLITZ Package User's Guide,
Argonne National Laboratory,
ANL-83-16, 1983.
James Arvo,
Stratified sampling of spherical triangles,
Computer Graphics Proceedings, Annual Conference Series,
ACM SIGGRAPH '95, pages 437-438, 1995.
Sunil Arya, David Mount, Nathan Netanyahu, Ruth Silverman, Angela Wu,
An Optimal Algorithm for Approximate Nearest Neighbor Searching in Fixed Dimensions,
Journal of the ACM,
Volume 45, Number 6, November 1998, pages 891-923.
Uri Ascher, Robert Mattheij, Robert Russell,
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations,
Prentice Hall, 1988,
ISBN: 0-13-627266-5,
LC: QA379.A83.
Paul Asente, Ralph Swick,
X Window System Toolkit,
Digital Press, 1990,
ISBN: 1555580513,
LC: QA76.76.W56.A74.
Kendall Atkinson,
An Introduction to Numerical Analysis,
Prentice Hall, 1989,
ISBN: 0471624896,
LC: QA297.A94.1989.
Franz Aurenhammer,
Voronoi diagrams - a study of a fundamental geometric data structure,
ACM Computing Surveys,
Volume 23, Number 3, September 1991, pages 345-405.
Franz Aurenhammer, Rolf Klein,
Voronoi Diagrams,
in Handbook of Computational Geometry,
edited by Joerg-Ruedriger Sack, Jorge Urrutia,
Elsevier, 1999,
ISBN: 978-0444825377,
LC: QA448.D38H36.
Ivo Babuska, Werner Rheinboldt,
Reliable Error Estimations and Mesh Adaptation for the Finite Element Method,
in International Conference on Computational Methods in Nonlinear Mechanics,
edited by John Oden,
Elsevier, 1980,
ISBN: 0444853820,
LC: QA808.I57.
Ivo Babuska, Fabio Nobile, Raul Tempone,
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data,
SIAM Journal on Numerical Analysis,
Volume 45, Number 3, 2007, pages 1005-1034.
Henning Bach,
On the Downhill Method,
Communications of the ACM,
Volume 12, Number 12, December 1969, pages 675-678.
Henning Bach,
Algorithm 365: Complex Root Finding,
Communications of the ACM,
Volume 12, Number 12, December 1969, pages 686-687.
David Bailey, Eric Barszcz, John Barton, D Browning, Robert Carter, Leonardo Dagum, Rod Fatoohi, Samuel Fineberg, Paul Frederickson, Thomas Lasinski, Robert Schreiber, Horst Simon, V Venkatakrishnan, Sisira Weeratunga,
The NAS Parallel Benchmarks,
International Journal of High Performane Computing Applications,
Volume 5, Number 3, September 1991, pages 63-73.
David Bailey, John Barton,
The NAS Kernel Benchmark Program,
Numerical Aerodynamics Simulations Systems Division,
NASA Ames Research Center,
13 June 1986.
David Bailey, Jonathan Borwein,
Experimental Mathematics: Examples, Methods and Implications,
Notices of the American Mathematical Society,
Volume 52, Number 5, pages 502-514.
David Bailey, Karthik Jeyabalan, Xiaoye Li,
A Comparison of Three High-Precision Quadrature Schemes,
Experimental Mathematics,
Volume 14, Number 3, pages 317-329.
David Bailey,
Integer Relation Detection,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 24-28.
Scott Bailey, Theodore Kim, Robert Strichartz,
Inside the Levy Dragon,
American Mathematical Monthly,
Volume 109, Number 8, October 2002, pages 689-703.
Satish Balay, Shrirang Abhyankar, M Adams, Jed Brown, Peter Brune, Kris Buschelman, Victor Eijkhout, William Gropp, Dinesh Kaushik, Matt Knepley, Lois Curfman McInnes, Karl Rupp, Barry Smith, Hong Zhang,
The PETSc Users Manual,
Technical Report ANL-95/11, Revision 3.5.0,
Argonne National Laboratory, 8 September 2014.
Robert Balder, Christoph Zenger,
The solution of multidimensional real Helmholtz equations on sparse grids,
SIAM Journal on Scientific Computing,
Volume 17, Number 3, 1996, pages 631-646.
Michael Balinski, Hobart Young,
The Quota Method of Apportionment,
The American Mathematical Monthly,
Volume 82, Number 7, August-September 1975, pages 701-730.
Walter Ball,
Mathematical Recreations and Essays,
Macmillan, 1962,
ISBN: 1417921269,
LC: QA95.B2.
Prasanta Banerjee, Roy Butterfield,
Boundary Element Methods in Engineering Science,
McGraw-Hill, 1994,
ISBN: 0070841209,
LC: TA347.B69.B36.
Colin Banfield, LC Bassill,
Algorithm AS 113: A transfer for non-hierarchichal classification,
Applied Statistics,
Volume 26, Number 2, 1977, pages 206-210.
Wolfgang Bangerth, Timo Heister,
Quo Vadis, Scientific Software?,
SIAM News,
Volume 47, Number 1, January/February 2014.
Wolfgang Bangerth, Ralf Hartmann, Guido Kanschat,
DEAL.II - a general-purpose object-oriented finite element library,
ACM Transactions on Mathematical Software,
Volume 33, Number 4, article 24, August 2007.
Wolfgang Bangerth, Carsten Burstedde, Timo Heister, Martin Kronbichler,
Algorithms and data structures for massively parallel generic adaptive finite element codes, ACM Transactions on Mathematical Software,
Volume 38, Number 2, article 14, December 2011.
Randolph Bank,
PLTMG: A Software Package for Solving Elliptic Partial Differential Equations,
User's Guide, Version 9.0,
ISBN: 0-89871-409-5,
LC: QA377.B263.
Jerry Banks, editor,
Handbook of Simulation,
Wiley, 1998,
ISBN: 0471134031,
LC: T57.62.H37.
Robert Banks,
Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics,
Princeton, 1999,
ISBN13: 9780691059471,
LC: QA93.B358.
Bradford Barber, David Dobkin, Hannu Huhdanpaa,
The Quickhull algorithm for convex hulls,
ACM Transactions on Mathematical Software,
Volume 22, Number 4, December 1996, pages 469-483.
Vincent Barker, Susan Blackford, Jack Dongarra, Jeremy Du Croz, Sven Hammarling, Minka Marinova, Jerzy Wasniewski, Plamen Yalamov,
LAPACK95 User's Guide,
SIAM, 2001,
ISBN13: 978-0-898715-04-0,
LC: QA76.73.F25.L36.
George Barlow,
Hexagonal Territories,
Animal Behavior,
Volume 22, 1974, pages 876-878.
Roger Barlow, Ross Barnett,
Computing for Scientists: Principles of Programming with Fortran90 and C++,
Wiley, 1998,
ISBN: 0-471-95114-5.
Michael Barnsley, Alan Sloan,
A Better Way to Compress Images,
Byte Magazine,
Volume 13, Number 1, January 1988, pages 215-224.
Michael Barnsley,
Fractals Everywhere,
Academic Press, 1988,
ISBN: 0120790696,
LC: QA614.86.B37.
Michael Barnsley, Lyman Hurd,
Fractal Image Compression,
Peters, 1993,
ISBN: 1568810008,
LC: TA1632.B353.
Richard Barrett, Michael Berry, Tony Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roidan Pozo, Charles Romine, Henk van der Vorst,
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods,
SIAM, 1994,
ISBN: 0898714710,
LC: QA297.8.T45.
Wayne Barrett, Tyler Jarvis,
Spectral Properties of a Matrix of Redheffer,
Linear Algebra and Its Applications,
Volume 162-164, February 1992, pages 673-683.
Ian Barrodale, Frank Roberts,
Algorithm 552: Solution of the Constrained L1 Approximation Problem,
ACM Transactions on Mathematical Software,
Volume 6, Number 2, March 1980, pages 231-235.
James Barron,
What's in a Number? 143 Years of News,
The New York Times,
14 March 1995, Volume 144, Issue 50000.
Andrew Barry, S. J. Barry, Patricia Culligan-Hensley,
Algorithm 743: WAPR - A Fortran routine for calculating real values of the W-function,
ACM Transactions on Mathematical Software,
Volume 21, Number 2, June 1995, pages 172-181.
Richard Bartels, Andrew Conn,
A program for linearly constrained discrete l1 problems,
ACM Transactions on Mathematical Software,
Volume 6, 1980, pages 609-614.
Volker Barthelmann, Erich Novak, Klaus Ritter,
High Dimensional Polynomial Interpolation on Sparse Grids,
Advances in Computational Mathematics,
Volume 12, Number 4, March 2000, pages 273-288.
Claude Basdevant, Michel Deville, Pierre Haldenwang, J Lacroix, J Ouazzani, Roger Peyret, Paolo Orlandi, Anthony Patera,
Spectral and finite difference solutions of the Burgers equation,
Computers and Fluids,
Volume 14, Number 1, 1986, pages 23-41.
Gerard Bashein, Paul Detmer,
Centroid of a Polygon,
in Graphics Gems IV,
edited by Paul Heckbert,
AP Professional, 1994,
ISBN: 0123361559,
LC: T385.G6974.
Klaus-Juergen Bathe,
Finite Element Procedures,
Prentice Hall, 1996,
ISBN: 0133014584,
LC: TA347.F5.B36.
Zachary Battles, Lloyd Trefethen,
An extension of Matlab to continuous functions and operators,
SIAM Journal on Scientific Computing,
Volume 25, Number 5, 2004, pages 1743-1770.
Carter Bays, Stephen Durham,
Improving a Poor Random Number Generator,
ACM Transactions on Mathematical Software,
Volume 2, Number 1, March 1976, pages 59-64.
Martin Bazant, Henry Moffatt,
Exact solutions of the Navier-Stokes equations having steady vortex structures,
Journal of Fluid Mechanics,
Volume 541, pages 55-64, 2005.
Brian Beachkofski, Ramana Grandhi,
Improved Distributed Hypercube Sampling,
Paper 2002-1274,
43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,
American Institute of Aeronautics and Astronautics, April 2002.
Evelyn Beale,
On an Iterative Method for Finding a Local Minimum of a Function of More than One Variable,
Technical Report 25,
Statistical Techniques Research Group,
Princeton University, 1958.
Richard Beam, Robert Warming,
The asymptotic spectra of banded Toeplitz and quasi-Toeplitz matrices,
SIAM Journal on Scientific and Statistical Computing,
Volume 14, Number 4, July 1993, pages 971-1006.
JD Beasley, SG Springer,
Algorithm AS 111: The Percentage Points of the Normal Distribution,
Applied Statistics,
Volume 26, Number 1, 1977, pages 118-121.
Rick Beatson, Leslie Greengard,
A short course on fast multipole methods,
in Wavelets, Multilevel Methods, and Elliptic PDES, edited by Mark Ainsworth, Jeremy Levesley, Marco Marletta, William Light,
Oxford University Press, 1997,
ISBN13: 978-0198501909,
LC: QA374.W38.
Ken Beauchamp,
Walsh functions and their applications,
Academic Press, 1975,
ISBN: 0-12-084050-2,
LC: QA404.5.B33.
Matthias Beck, Sinai Robins,
Computing the Continuous Discretely,
Springer, 2006,
ISBN13: 978-0387291390,
LC: QA640.7.B43.
Axel Becke,
A multicenter numerical integration scheme for polyatomic molecules,
Journal of Chemical Physics,
Volume 88, Number 4, 15 February 1988, pages 2547-2553.
Eric Becker, Graham Carey, John Oden,
Finite Elements, An Introduction, Volume I,
Prentice-Hall, 1981,
ISBN: 0133170578,
LC: TA347.F5.B4.
Frank Beckman,
The Solution of Linear Equations by the Conjugate Gradient Method,
in Mathematical Methods for Digital Computers,
edited by John Ralston, Herbert Wilf,
Wiley, 1967,
ISBN: 0471706892,
LC: QA76.5.R3.
Isabel Beichl, Francis Sullivan,
The Metropolis Algorithm,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 65-69.
Dale Beihoffer, Jemimah Hendry, Albert Nijenhuis, Stan Wagon,
Faster Algorithms for Frobenius Numbers,
The Electronic Journal of Combinatorics,
Volume 12, 2005, #R27.
M Bell, Malcolm Pike,
Remark on Algorithm 178: Direct Search,
Communications of the ACM,
Volume 9, Number 9, September 1966, page 684.
Richard Bellman,
On a routing problem,
Quarterly of Applied Mathematics,
Volume 16, 1958, pages 87-90.
Frank Benford,
The Law of Anomalous Numbers,
Proceedings of the American Philosophical Society,
Volume 78, 1938, pages 551-572.
Jon Bentley, Bruce Weide, Andrew Yao,
Optimal Expected Time Algorithms for Closest Point Problems,
ACM Transactions on Mathematical Software,
Volume 6, Number 4, December 1980, pages 563-580.
Jon Bentley, James Saxe,
Generating sorted lists of random numbers,
ACM Transactions on Mathematical Software,
Volume 6, Number 3, September 1980, pages 359-364.
Jon Bentley,
Programming Pearls: A Sample of Brilliance,
Communications of the ACM,
Volume 30, Number 9, September 1987, pages 754-757.
Gal Berkooz, Philip Holmes, John Lumley,
The proper orthogonal decomposition in the analysis of turbulent flows,
Annual Review of Fluid Mechanics,
Volume 25, 1993, pages 539-575.
Marshall Bern, Paul Chew, David Eppstein, Jim Ruppert,
Dihedral Bounds for Mesh Generation in High Dimensions,
Proceedings of the Sixth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA),
SIAM, 1995,
ISBN13: 978-0898713497,
LC: QA76.9.A43.A34a.
Marshall Bern,
Adaptive Mesh Generation,
in Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics Lecture Notes in Computational Science and Engineering,
edited by Timothy Barth, Herman Deconinck,
Volume 25, 2003, pages 1-46,
ISBN: 987-3-642-07841-5.
Jose Bernardo,
Algorithm AS 103: Psi ( Digamma ) Function,
Applied Statistics,
Volume 25, Number 3, 1976, pages 315-317.
Jarle Berntsen, Terje Espelid,
Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles,
ACM Transactions on Mathematical Software,
Volume 18, Number 3, September 1992, pages 329-342.
Jean-Paul Berrut, Lloyd Trefethen,
Barycentric Lagrange Interpolation,
SIAM Review,
Volume 46, Number 3, September 2004, pages 501-517.
Nick Berry,
A Mathematical Analysis of Snakes and Ladders,
http://www.datagenetics.com/blog/november12011/index.html
Nick Berry,
A "Practical" Use for Genetic Programming,
http://www.datagenetics.com/blog/april2009/index.html
Hugues Bersini, Marco Dorigo, Stefan Langerman, Gregory Seront, Luca Gambardella,
Results of the first international contest on evolutionary optimisation,
In Proceedings of 1996 IEEE International Conference on Evolutionary Computation,
IEEE Press, pages 611-615, 1996.
Donald Best, Nicholas Fisher,
Efficient Simulation of the von Mises Distribution,
Applied Statistics,
Volume 28, Number 2, 1979, pages 152-157.
Donald Best, DE Roberts,
Algorithm AS 91: The Percentage Points of the Chi-Squared Distribution,
Applied Statistics,
Volume 24, Number 3, 1975, pages 385-390.
W H Beveridge,
Weather and Harvest Cycles,
The Economic Journal,
Volume 31, pages 429-452, 1921.
Terry Beyer, Donald Swinehart,
Algorithm 448: Number of Multiply-Restricted Partitions,
Communications of the ACM,
Volume 16, Number 6, June 1973, page 379.
G Bhattacharjee,
Algorithm AS 32: The Incomplete Gamma Integral,
Applied Statistics,
Volume 19, Number 3, 1970, pages 285-287.
Tim Bienz, Richard Cohn,
Adobe Systems Incorporated,
Portable Document Format Reference Manual,
Addison-Wesley, 1993,
ISBN: 0201626284,
LC: QA76.9.F5.P67.
Dario Bini, Paola Favati,
On a matrix algebra related to the discrete Hartley transform,
SIAM Journal on Matrix Analysis and Applications,
Volume 14, Number 2, April 1993, pages 500-507.
Christopher Bishop,
Neural Networks for Pattern Recognition,
Oxford, 1995,
ISBN13: 978-0198538646,
LC: QA76.87.B574.
Ake Bjorck, Victor Pereyra,
Solution of Vandermonde Systems of Equations,
Mathematics of Computation,
Volume 24, Number 112, October 1970, pages 893-903.
Bonnie Blackburn, Leofranc Holford-Stevens,
The Oxford Companion to the Year,
Oxford, 1999,
ISBN: 0192142313,
LC: CE73.B553.
Susan Blackford, Jaeyoung Choi, Andrew Cleary, Eduardo D'Azevedo, James Demmel, Inderjit Dhillon, Jack Dongarra, Sven Hammarling, Greg Henry, Antoine Petitet, Ken Stanley, David Walker, Clinton Whaley,
The ScaLAPACK User's Guide,
SIAM, 1997,
ISBN13: 978-0-898713-97-8,
LC: QA185.D37.S33.
Carole Blanc, Christophe Schlick,
X-Splines: A Spline Model Designed for the End User,
Proceedings of SIGGRAPH, 1995,
ISBN: 0201847760.
Gertrude Blanch,
Numerical evaluation of continued fractions,
SIAM Review,
Volume 6, Number 4, October 1964, pages 383-421.
John Bloomer,
Power Programming with RPC,
O'Reilly, 1992,
ISBN: 0937175773,
LC: QA76.9.D5.B55.
Peter Bloomfield,
Fourier Analysis of Time Series - An Introduction,
Wiley, 2000,
ISBN: 0471889482,
LC: QA280.B59.
John Board, Klaus Schulten. The Fast Multipole Algorithm,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 76-79.
Pavel Bochev, Rich Lehoucq,
On the Finite Element Solution of the Pure Neumann Problem,
SIAM Review,
Volume 47, Number 1, March 2005, pages 50-66.
SF Bockman,
Generalizing the Formula for Areas of Polygons to Moments,
American Mathematical Society Monthly,
Volume 96, Number 2, February 1989, pages 131-132.
Ignace Bogaert,
Iteration-free computation of Gauss-Legendre quadrature nodes and weights,
SIAM Journal on Scientific Computing,
Volume 36, Number 3, 2014, pages A1008-1026.
Paul Boggs,
The Solution of Nonlinear Systems by A-stable Integration Techniques,
SIAM Journal on Numerical Analysis,
Volume 8, Number 4, December 1971, pages 767-785.
Ronald Boisvert, Roldan Pozo, Karin Remington,
The Matrix Market Exchange Formats: Initial Design,
Technical Report NISTIR-5935,
National Institute of Standards and Technology, December 1996.
Jean-Daniel Boissonnat, Monique Teillaud,
On the randomized construction of the Delaunay tree,
Theoretical Computer Science,
Volume 112, 1993, pages 339-354.
Robert Boland,
Algorithm 436: Product Type Trapezoidal Integration,
Communications of the ACM,
Volume 15, Number 12, December 1972, page 1070.
Robert Boland,
Algorithm 437: Product Type Simpson's Integration,
Communications of the ACM,
Volume 15, Number 12, December 1972, pages 1070-1071.
Robert Boland,
Algorithm 438: Product Type Two-point Guass-Legendre Simpson's Integration,
Communications of the ACM,
Volume 15, Number 12, December 1972, pages 1071.
Robert Boland,
Algorithm 439: Product Type Three-point Guass-Legendre Simpson's Integration,
Communications of the ACM,
Volume 15, Number 12, December 1972, pages 1072.
Evan Bollig, Natasha Flyer, Gordon Erlebacher,
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs,
Journal of Computational Physics,
Volume 231, Issue 21, pages 7133-7151, 20 August 2012.
Book Industry Study Group,
The Evolution in Product Identification: Sunrise 2005 and the ISBN-13.
John Boothroyd,
Algorithm 274: Generation of Hilbert Derived Test Matrix,
Communications of the ACM,
Volume 9, Number 1, January 1966, page 11.
Jeff Borggaard, John Burkardt, Max Gunzburger, Janet Peterson, (editors)
Optimal Design and Control,
Birkhaeuser, Boston 1995,
ISBN: 0-8176-3808-3,
LC: TJ212W675.
Jeff Borggaard, John Burns, Eugene Cliff, Max Gunzburger,
Sensitivity Calculations for a 2D, Inviscid Supersonic Forebody Problem,
in Identification and Control in Systems Governed by Partial Differential Equations,
edited by Tom Banks, Richard Fabiano, Kazifumo Ito,
SIAM, 1993,
ISBN: 089871317X,
LC: QA402.3.I43.
Axel Born,
The File Formats Handbook,
ITP, 1995,
ISBN: 1850321175.
Guenter Born, Cor Hurkens, Gerhard Woeginger,
The Freudenthal Problem and its Ramifications (Part I),
Bulletin of the European Association for Theoretical Computer Science, Number 90, October 2006, pages 175-191.
Len Bos, Norm Levenberg,
On the calculation of approximate Fekete points: the univariate case,
Electronic Transactions on Numerical Analysis,
Volume 30, pages 377-397, 2008.
Nancy Bosten, EL Battiste,
Remark on Algorithm 179: Incomplete Beta Ratio,
Communications of the ACM,
Volume 17, Number 3, March 1974, pages 156-157.
Hilary Bowdler, Roger Martin, Christian Reinsch, James Wilkinson,
The QR and QL algorithms for Symmetric Matrices: TQL1 and TQL2,
Numerische Mathematik,
Volume 11, Number 4, May 1968, pages 293-306.
Abigail Bowers, Leo Rebholz, Aziz Takhirov, Catalin Trenchea,
Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering,
International Journal for Numerical Methods in Fluids,
Volume 70, Number 7, 2012, pages 805-828.
Adrian Bowyer, John Woodwark,
A Programmer's Geometry,
Butterworths, 1983,
ISBN: 0408012420.
George Box, Donald Behnken,
Some new three-level designs for the study of quantitative variables,
Technometrics,
Volume 2, 1960, pages 455-475.
George Box, Gwilym Jenkins,
Time Series Analysis: Forecasting and Control,
Prentice Hall, 1991,
ISBN: 0139051007,
LC: QA280.B67.
John Boyd,
Exponentially convergent Fourier-Chebyshev quadrature schemes on bounded and infinite intervals,
Journal of Scientific Computing,
Volume 2, Number 2, 1987, pages 99-109.
James Boyett,
Algorithm AS 144: Random R x C Tables with Given Row and Column Totals,
Applied Statistics,
Volume 28, Number 3, 1979, pages 329-332.
Carl Branden, John Tooze,
Introduction to Protein Structure,
Second Edition,
Garland Publishing, 1999,
ISBN: 0815323050,
LC: QP551.B7635.
F K Branin, A widely convergent method for finding multiple solutions of simultaneous nonlinear equations,
IBM Journal of Research and Development,
pages 504-522, September 1972.
Paul Bratley, Bennett Fox,
Algorithm 659: Implementing Sobol's Quasirandom Sequence Generator,
ACM Transactions on Mathematical Software,
Volume 14, Number 1, March 1988, pages 88-100.
Paul Bratley, Bennett Fox, Harald Niederreiter,
Algorithm 738: Programs to Generate Niederreiter's Low-Discrepancy Sequences,
ACM Transactions on Mathematical Software,
Volume 20, Number 4, 1994, pages 494-495.
Paul Bratley, Bennett Fox, Harald Niederreiter,
Implementation and Tests of Low Discrepancy Sequences,
ACM Transactions on Modeling and Computer Simulation,
Volume 2, Number 3, July 1992, pages 195-213.
Paul Bratley, Bennett Fox, Linus Schrage,
A Guide to Simulation,
Second Edition,
Springer, 1987,
ISBN: 0387964673,
LC: QA76.9.C65.B73.
Robert Brawer, Magnus Pirovino,
The linear algebra of the Pascal matrix,
Linear Algebra and Its Applications,
Volume 174, September 1992, pages 13-23.
Hans Bremermann,
Calculation of Equilibrium Points for Models of Ecological and Chemical Systems,
in Proceedings of a Conference on the Applications of Undergraduate Mathematics in the Engineering, Life, Managerial and Social Sciences,
Georgia Institute of Technology, June 1973, pages 198-217.
Norman Brenner,
Algorithm 467: Matrix Transposition in Place,
Communications of the ACM,
Volume 16, Number 11, November 1973, pages 692-694.
Richard Brent,
Algorithms for Minimization without Derivatives,
Dover, 2002,
ISBN: 0-486-41998-3,
LC: QA402.5.B74.
Richard Brent,
A FORTRAN Multiple-Precision Arithmetic Package,
ACM Transactions on Mathematical Software,
Volume 4, Number 1, March 1978, pages 71-81.
Richard Brent,
Algorithm 524: MP: A FORTRAN Multiple-Precision Arithmetic Package,
ACM Transactions on Mathematical Software,
Volume 4, Number 1, March 1978, pages 57-70.
Richard Brent,
An improved Monte Carlo factorization algorithm,
BIT,
Volume 20, Number 2, 1980, pages 176-184.
Chad Brewbaker,
Lonesum (0,1)-matrices and poly-Bernoulli numbers of negative index,
Master of Science Thesis,
Computer Science Department,
Iowa State University, 2005.
JA Brewer, DC Anderson,
Visual Interaction with Overhauser Curves and Surfaces,
SIGGRAPH 77,
in Proceedings of the 4th Annual Conference on Computer Graphics and Interactive Techniques,
ASME, July 1977, pages 132-137.
William Briggs, Van Emden Henson,
The DFT: An Owner's Manual for the Discrete Fourier Transform,
SIAM, 1995,
ISBN13: 978-0-898713-42-8,
LC: QA403.5.B75.
William Briggs, Van Emden Henson, Steve McCormick,
A Multigrid Tutorial,
SIAM, 2000,
ISBN13: 978-0-898714-62-3,
LC: QA377.B75.
Elbert Brigham,
The Fast Fourier Transform and Its Applications,
Prentice-Hall, 1988,
ISBN: 0133075052,
LC: QA403.B74.
Roger Broucke,
Algorithm 446: Ten Subroutines for the Manipulation of Chebyshev Series,
Communications of the ACM,
Volume 16, Number 4, April 1973, pages 254-256.
Barry Brown, Lawrence Levy,
Certification of Algorithm 708: Significant Digit Computation of the Incomplete Beta,
ACM Transactions on Mathematical Software,
Volume 20, Number 3, September 1994, pages 393-397.
Kenneth Brown,
A Quadratically Convergent Newton-like Method Based upon Gaussian Elimination,
SIAM Journal on Numerical Analysis,
Volume 6, Number 4, December 1969, pages 560-569.
Peter Brown, Alan Hindmarsh,
Reduced Storage Matrix Methods in Stiff ODE Systems,
Journal of Applied Mathematics and Computing,
Volume 31, 1989, pages 40-91.
Wayne Brown, Barry Shepherd,
Graphics File Formats,
Manning Publications, 1995,
ISBN: 1884777007,
LC: T385.B777.
Charles Broyden,
A class of methods for solving nonlinear simultaneous equations,
Mathematics of Computation,
Volume 19, 1965, pages 577-593.
Charles Broyden,
A New Method of Solving Nonlinear Simultaneous Equations,
The Computer Journal,
Volume 12, 1969, pages 94-99.
Bill Buckles, Matthew Lybanon,
Algorithm 515: Generation of a Vector from the Lexicographical Index,
ACM Transactions on Mathematical Software,
Volume 3, Number 2, June 1977, pages 180-182.
Roland Bulirsch, Josef Stoer,
Fehlerabschaetzungen und Extrapolation mit rationaled Funktionen bei Verfahren vom Richardson-Typus,
(Error estimates and extrapolation with rational functions in processes of Richardson type),
Numerische Mathematik,
Volume 6, Number 1, December 1964, pages 413-427.
Hans-Joachim Bungartz, Michael Griebel, Dierk Roeschke, Christoph Zenger,
Pointwise convergence of the combination technique for the Laplace equation,
East-West Journal of Numerical Mathematics,
Volume 2, Number 1, 1994, pages 21-45.
Hans-Joachim Bungartz, S Dirnstorfer,
Multivariate quadrature on adaptive sparse grids,
Computing,
Volume 71, Number 1, August 2003, pages 89-114.
Richard Burden, Douglas Faires,
Numerical Analysis,
Thomson Brooks/Cole, 2004,
ISBN13: 978-0534392000,
LC: QA297.B84.
Howard Burdick,
Digital Imaging: Theory and Applications,
McGraw Hill, 1997,
ISBN: 0079130593,
LC: TA1637.B87.
Johannes Burgers,
A mathematical model illustrating the theory of turbulence,
Advances in Applied Mechanics,
Volume 1, pages 171-199, 1948.
Rainer Burkard, Ulrich Derigs,
Assignment and Matching Problems: Solution methods with FORTRAN programs,
Lecture Notes in Economics and Mathematical Systems,
Volume 184,
Springer, 1980,
ISBN: 0387102671,
LC: QA402.5.B86.
John Burkardt, Qiang Du, Max Gunzburger, Hyung-Chun Lee,
Reduced-Order Modeling of Complex Systems,
Proceedings, NA03 Dundee 2003.
John Burkardt, Max Gunzburger, Hyung-Chun Lee,
Centroidal Voronoi Tessellation-Based Reduced-Order Modelling of Complex Systems,
SIAM Journal on Scientific Computing,
Volume 28, Number 2, January 2006, pages 459-484.
John Burkardt, Max Gunzburger, Hyung-Chun Lee,
POD and CVT-based Reduced-order Modeling of Navier-Stokes Flows,
Computer Methods in Applied Mechanics and Engineering,
Volume 196, 2006, pages 337-355.
John Burkardt, Max Gunzburger, Janet Peterson,
Insensitive Functionals, Inconsistent Gradients, Spurious Minima, and Regularized Functionals in Flow Optimization Problems,
International Journal of Computational Fluid Dynamics,
Volume 16, Number 3, 2002, pages 171-185.
John Burkardt, Max Gunzburger, Janet Peterson,
Discretization of Cost and Sensitivities in Shape Optimization,
in Computation and Control IV,
edited by Bowers and Lund,
Proceedings of the Fourth Bozeman Conference on Computation and Control,
Birkhaeuser, 1995,
LC: TA329.C645,
ISBN: 0817637745.
John Burkardt, Max Gunzburger, Janet Peterson, Rebecca Brannon,
User Manual and Supporting Information for Library of Codes for Centroidal Voronoi Point Placement and Associated Zeroth, First and Second Moment Determination,
Technical Report: SAND2002-0099,
Sandia National Laboratories, February 2002.
John Burkardt, Max Gunzburger, Clayton Webster,
Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations,
International Journal of Numerical Analysis and Modeling,
Volume 4, Number 3-4, 2007, pages 368-391.
John Burkardt, Charles Hall, Thomas Porsching,
The Dual Variable Method for the Solution of Compressible Fluid Flow Problems,
SIAM Journal on Algebraic and Discrete Methods,
Volume 7, Number 3, July 1986, pages 476-483.
John Burkardt, Janet Peterson,
Control of Steady Incompressible 2D Channel Flow,
in Flow Control,
edited by Max Gunzburger,
Proceedings of IMA Period of Concentration on Flow Control,
The IMA Volumes in Mathematics and its Applications,
Volume 68, pages 111-126,
Springer, 1995,
ISBN: 0387944451,
LC: TA357.F538.
Forbes Burkowski, WD Hoskins,
Algorithm 461: Cubic Spline Solutions to a Class of Functional Differential Equations,
Communications of the ACM,
Volume 16, Number 10, October 1973, pages 635-637.
Jacqueline Burm, Paul Fishback,
Period-3 Orbits Via Sylvester's Theorem and Resultants,
Mathematics Magazine,
Volume 74, Number 1, February 2001, pages 47-51.
Jacobus Bus, Jacob Dekker,
Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function,
ACM Transactions on Mathematical Software,
Volume 1, Number 4, December 1975, pages 330-345.
Peter Businger, Gene Golub,
Algorithm 358: Singular Value Decomposition of a Complex Matrix,
Communications of the ACM,
Volume 12, Number 10, October 1969, pages 564-565.
David Butenhof,
Programming with POSIX Threads,
Addison Wesley, 1997,
ISBN: 0201633922,
LC: QA76.76.T55.B88.
Edgar Butler,
Algorithm 370: General Random Number Generator,
Communications of the ACM,
Volume 13, Number 1, January 1970, pages 49-52.
Bill Buzbee,
The SLATEC Common Math Library,
in Sources and Development of Mathematical Software,
edited by Wayne Cowell,
Prentice-Hall, 1984,
ISBN: 0-13-823501-5,
LC: QA76.95.S68.
John Byers,
Dirichlet Tessellation of Bark Beetle Spatial Attack Points,
Journal of Animal Ecology,
Volume 61, 1992, pages 759-768.
John Byers,
Correct Calculation of Dirichlet Polygon Areas,
Journal of Animal Ecology,
Volume 65, 1996, pages 528-529.
Flavio Colavecchia, Gustavo Gasaneo, Jorge Miraglia,
Numerical Evaluation of Appell's F1 Hypergeometric Function,
Computer Physics Communications,
Volume 138, Number 1, July 2001, pages 29-43.
Marco Caliari, Stefano de Marchi, Marco Vianello,
Bivariate interpolation on the square at new nodal sets,
Applied Mathematics and Computation,
Volume 165, Number 2, 2005, pages 261-274.
Marco Caliari, Stefano de Marchi, Marco Vianello,
Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains,
ACM Transactions on Mathematical Software,
Volume 35, Number 3, October 2008, Article 21, 11 pages.
Gregory Call, Daniel Velleman,
Pascal's Matrices,
American Mathematical Monthly,
Volume 100, Number 4, April 1993, pages 372-376.
John Campbell,
On Temme's Algorithm for the Modified Bessel Functions of the Third Kind,
ACM Transactions on Mathematical Software,
Volume 6, Number 4, December 1980, pages 581-586.
John Campbell,
Bessel functions J_nu(x) and Y_nu(x) of real order and real argument,
Computational Physics Communications,
Volume 18, 1979, pages 133-142.
Claudio Canuto, Yousuff Hussaini, Alfio Quarteroni, Thomas Zang,
Spectral Methods in Fluid Dynamics,
Springer, 1993,
ISNB13: 978-3540522058,
LC: QA377.S676.
Graham Carey, John Oden,
Finite Elements, A Second Course, Volume II,
Prentice-Hall, 1983,
ISBN: 0133170658,
LC: TA347.F5.B4.
Graham Carey,
Computational Grids: Generation, Adaptation and Solution Strategies,
Taylor and Francis, 1997,
ISBN13: 978-1560326359,
LC: QA377.C32.
Lewis Carroll (Charles Dodgson),
To Find the Day of the Week for Any Given Date,
Nature,
Volume 35, Number 909, 31 March 1887, page 517.
James Cavendish, Michael Wenner, John Burkardt, Charles Hall, Thomas Porsching,
DEM: A New Computational Approach to Sheet Metal Forming,
International Journal for Numerical Methods in Mechanical Engineering,
Volume 23, Number 5, May 1986, pages 847-862.
Chris Cecka, Adrian Lew, E Darve,
Assembly of Finite Element Methods on Graphics Processors,
International Journal for Numerical Methods in Engineering,
Volume 85, Number 5, pages 640-669, 2011.
Paulo Cezar Pinto Carvalho, Paulo Roma Cavalcanti,
Point in Polyhedron Testing Using Spherical Polygons,
in Graphics Gems V,
edited by Alan Paeth,
Academic Press, 1995,
ISBN: 0125434553,
LC: T385.G6975.
Edwin Catmull, Raphael Rom,
A Class of Local Interpolating Splines,
in Computer Aided Geometric Design,
edited by Robert Barnhill, Richard Reisenfeld,
Academic Press, 1974,
ISBN: 0120790505,
LC: QA464.I58.
Davide Cervone,
MathJax: A Platform for Mathematics on the Web,
Notices of the American Mathematical Society,
Volume 59, Number 2, February 2012, pages 312-316.
Francoise Chaitin-Chatelin,
Eigenvalues of Matrices,
John Wiley, 1993,
ISBN: 0471935387,
LC: QA188.C44.
A Chan, K Hsiao,
Nonlinear Analysis Using a Reduced Number of Variables,
Computer Methods in Applied Mechanics and Engineering,
Volume 52, Number 1-3, September 1985, pages 899-913.
Tony Chan,
Deflated Decomposition of Solutions of Nearly Singular Systems,
Technical Report 225,
Computer Science Department,
Yale University, 1982.
Tony Chan,
An improved algorithm for computing the singular value decomposition,
ACM Transactions on Mathematical Software,
Volume 8, Number 1, March 1982, pages 72-83.
Youn-Sha Chan, Albert Fannjiang, Glaucio Paulino, Bao-Feng Feng,
Finite part integrals and hypersingular kernels,
Advances in Dynamical Systems,
Volume 14, Supplement S2, pages 264-269, 2007.
Rohit Chandra, Leonardo Dagum, Dave Kohr, Dror Maydan, Jeff McDonald, Ramesh Menon,
Parallel Programming in OpenMP,
Morgan Kaufmann, 2001,
ISBN: 1-55860-671-8,
LC: QA76.642.P32.
Subramanyan Chandrasekhar,
Radiative Transfer,
Dover, 1960,
ISBN13: 978-0486605906,
LC: QB461.C46.
Kun-Mao Chao, Ross Hardison, Webb Miller,
Recent Developments in Linear-Space Alignment Methods: A Survey,
Journal of Computational Biology,
Volume 1, Number 4, 1994, pages 271-291.
Barbara Chapman, Gabriele Jost, Ruud vanderPas, David Kuck,
Using OpenMP: Portable Shared Memory Parallel Processing,
MIT Press, 2007,
ISBN13: 978-0262533027,
LC: QA76.642.C49.
Stephen Chapman, Stephen Chapman,
Fortran90/95 for Scientists and Engineers,
McGraw-Hill, 2003,
ISBN: 0072825758,
LC: QA76.73.F25.C425.
Scott Chasalow, Richard Brand,
Algorithm AS 299: Generation of Simplex Lattice Points,
Applied Statistics,
Volume 44, Number 4, 1995, pages 534-545.
Stephen Chase, Lloyd Fosdick,
An Algorithm for Filon Quadrature,
Communications of the ACM,
Volume 12, Number 8, August 1969, pages 453-457.
Stephen Chase, Lloyd Fosdick,
Algorithm 353: Filon Quadrature,
Communications of the ACM,
Volume 12, Number 8, August 1969, pages 457-458.
R Chattamvelli, R Shanmugam,
Algorithm AS 310: Computing the Non-central Beta Distribution Function,
Applied Statistics,
Volume 46, Number 1, 1997, pages 146-156.
Ke Chen, Peter Giblin, Alan Irving,
Mathematical Explorations with MATLAB,
Cambridge University Press, 1999,
ISBN: 0-521-63920-4,
LC: QA76.95.C44.
Ward Cheney, David Kincaid,
Numerical Mathematics and Computing,
Brooks-Cole Publishing, 2004,
ISBN: 0534201121,
LC: QA297.C426.
Russell Cheng,
Generating Beta Variates with Nonintegral Shape Parameters,
Communications of the ACM,
Volume 21, Number 4, April 1978, pages 317-322.
Russell Cheng,
Random Variate Generation,
in Handbook of Simulation,
edited by Jerry Banks,
Wiley, 1998,
ISBN: 0471134031,
LC: T57.62.H37.
Theodore Chihara,
An Introduction to Orthogonal Polynomials,
Gordon and Breach, 1978,
ISBN: 0677041500,
LC: QA404.5 C44.
Ian Chivers, Jane Sleightholme,
Introduction to Programming with Fortran,
Springer, 2005,
ISBN: 1846280532,
LC: QA76.73.F29.C48.
Man-Duen Choi,
Tricks or treats with the Hilbert matrix,
American Mathematical Monthly,
Volume 90, Number 5, May 1983, pages 301-312.
TS Chow,
A class of Hessenberg matrices with known eigenvalues and inverses,
SIAM Review,
Volume 11, Number 3, July 1969, pages 391-395.
Tom Christiansen, Nathan Torkington,
Perl Cookbook,
O'Reilly, 2003,
ISBN: 0596003137,
LC: QA76.73.P22.C38.
Nicos Christofides,
Worst-case analysis of a new heuristic for the traveling salesman problem,
Technical Report 388, Management Sciences Department,
Carnegie-Mellon University, 1976.
Eleanor Chu, Alan George,
Inside the FFT Black Box,
CRC Press,
ISBN: 0849302706,
LC: QA403.5C5.
Barry Cipra,
The Best of the 20th Century: Editors Name Top 10 Algorithms,
SIAM News,
Volume 33, Number 4, May 2000, page 1.
Barry Cipra,
E Pluribus Confusion,
American Scientist,
Volume 98, Number 4, July-August 2010, pages 276-279.
Ken Clarkson, Kurt Mehlhorn, Raimund Seidel,
Four Results on Randomized Incremental Constructions,
Computational Geometry: Theory and Applications,
Volume 3, Number 4, 1993, pages 185-212.
Paul Clement,
A class of triple-diagonal matrices for test purposes,
SIAM Review,
Volume 1, Number 1, January 1959, pages 50-52.
Donald Clemm,
Algorithm 352: Characteristic Values and Associated Solutions of Matthieu's Differential Equation,
Communications of the ACM,
Volume 12, Number 7, June 1969, pages 399-407.
Charles Clenshaw, Alan Curtis,
A Method for Numerical Integration on an Automatic Computer,
Numerische Mathematik,
Volume 2, Number 1, December 1960, pages 197-205.
Charles Clenshaw,
Mathematical Tables, Volume 5,
Chebyshev series for mathematical functions,
London, 1962.
Alan Cline, Cleve Moler, Pete Stewart, James Wilkinson,
An estimate for the Condition Number of a Matrix,
Technical Report TM-310,
Argonne National Laboratory, 1977.
Alan Cline, Russell Rew,
A set of counterexamples to three condition number estimators,
SIAM Journal on Scientific and Statistical Computing,
Volume 4, Number 4, December 1983, pages 602-611.
David Cline, David Cardon, Parris Egbert,
Fluid flow for the rest of us: tutorial of the marker and cell method in computer graphics,
VMV2004, Computer Graphics Group, Saarland University, 2004.
William Cody,
Algorithm 597: Sequence of Modified Bessel Functions of the First Kind,
ACM Transactions of Mathematical Software,
Volume 9, Number 2, June 1983, pages 242-245.
William Cody,
Algorithm 665: MACHAR, a subroutine to dynamically determine machine parameters,
ACM Transactions on Mathematical Software,
Volume 14, Number 4, December 1988, pages 303-311.
William Cody,
Algorithm 715: SPECFUN - A Portable FORTRAN Package of Special Function Routines and Test Drivers,
ACM Transactions on Mathematical Software,
Volume 19, Number 1, March 1993, pages 22-32.
William Cody, Jerome Coonen,
Algorithm 722: Functions to support the IEEE standard for binary floating point arithmetic;
ACM Transactions on Mathematical Software,
Volume 19, Number 4, December 1993, pages 443-451.
William Cody,
Rational Chebyshev Approximations for the Error Function,
Mathematics of Computation,
Volume 23, Number 107, July 1969, pages 631-638.
William Cody,
An Overview of Software Development for Special Functions, in Numerical Analysis Dundee, 1975,
edited by GA Watson,
Lecture Notes in Mathematics, 506,
Springer, 1976,
LC: QA3.L28.v506.
William Cody,
Performance evaluation of programs for the error and complementary error functions,
ACM Transactions on Mathematical Software,
Volume 16, Number 1, March 1990, pages 29-37.
William Cody,
Performance evaluation of programs related to the real gamma function,
ACM Transactions on Mathematical Software,
Volume 17, Number 1, March 1991, pages 46-54.
William Cody, Kenneth Hillstrom,
Chebyshev Approximations for the Natural Logarithm of the Gamma Function,
Mathematics of Computation,
Volume 21, Number 98, April 1967, pages 198-203.
William Cody, Kathleen Paciorek, Henry Thacher,
Chebyshev Approximations for Dawson's Integral,
Mathematics of Computation,
Volume 24, Number 109, January 1970, pages 171-178.
William Cody, Laura Stoltz,
Performance evaluation of programs for certain Bessel functions,
ACM Transactions on Mathematical Software,
Volume 15, Number 1, March 1989, pages 41-48.
William Cody, Laura Stoltz,
The Use of Taylor series to test accuracy of function programs,
ACM Transactions on Mathematical Software,
Volume 17, Number 1, March 1991, pages 55-63.
William Cody, Anthony Strecok, Henry Thacher,
Chebyshev Approximations for the Psi Function,
Mathematics of Computation,
Volume 27, Number 121, January 1973, pages 123-127.
William Cody, Henry Thacher,
Rational Chebyshev Approximations for the Exponential Integral E1(x),
Mathematics of Computation,
Volume 22, Number 103, July 1968, pages 641-649.
William Cody, Henry Thacher,
Chebyshev Approximations for the Exponential Integral Ei(x),
Mathematics of Computation,
Volume 23, Number 106, April 1969, pages 289-303.
William Cody, William Waite,
Software Manual for the Elementary Functions,
Prentice Hall, 1980,
ISBN: 0138220646,
LC: QA331.C635.
Daniel Cohen,
Voxel Traversal along a 3D Line,
in Graphics Gems IV,
edited by Paul Heckbert,
AP Professional, 1994,
ISBN: 0123361559,
LC: T385.G6974.
Charles Colbourn, Jeffrey Dinitz,
CRC Handbook of Combinatorial Designs,
CRC Press, 1996,
ISBN: 0849389488,
LC: QA166.25.C73.
Thomas Coleman, Charles vanLoan,
Handbook for Matrix Computations,
SIAM, 1988,
ISBN13: 978-0-898712-27-8,
LC: QA188.C65.
David Collison,
Algorithm 117: and Algorithm 118: Magic square (even order) and Magic square (odd order),
Communications of the ACM,
Volume 5, Number 8, August 1962, pages 435-436.
Peter Colwell,
Solving Kepler's Equation Over Three Centuries,
Willmann-Bell, 1993,
ISBN: 0943396409,
LC: QB355.5.C65.
CompuServe, Incorporated,
GIF Graphics Interchange Format, version 87a,
15 June 1987.
CompuServe, Incorporated,
GIF Graphics Interchange Format, version 89a,
31 July 1990.
Paul Concus, Gene Golub, Dianne OLeary,
A Generalized Conjugate Gradient Method for the Numerical Solution of Elliptic Partial Differential Equations,
in Symposium on Sparse Matrix Computations,
edited by James Bunch, Donald Rose,
Academic Press, 1979,
ISBN: 0121410501,
LC: QA188.S9.
Samuel Conte, Carl de Boor,
Elementary Numerical Analysis,
Second Edition,
McGraw Hill, 1972,
ISBN: 07-012446-4,
LC: QA297.C65.
John Conway,
Tomorrow is the Day After Doomsday,
Eureka,
Volume 36, October 1973, pages 28-31.
John Conway, Richard Guy,
The Book of Numbers,
Springer, 1998,
ISBN: 038797993X,
LC: QA241.C6897.
BE Cooper,
Algorithm AS 5: The Integral of the Non-Central T-Distribution,
Applied Statistics,
Volume 17, Number 2, 1968, page 193.
Robert Corless, Gaston Gonnet, David Hare, David Jeffrey, Donald Knuth,
On the Lambert W Function,
Advances in Computational Mathematics,
Volume 5, Number 1, December 1996, pages 329-359.
Robert Corless, David Jeffrey,
The Wright Omega Function,
in Artificial Intelligence, Automated Reasoning, and Symbolic Computation,
ed J Calmet, B Benhamou, O Caprotti, L Henocque, V Sorge,
Lecture Notes in Artificial Intelligence, volume 2385,
Springer, 2002, pages 76-89.
Thomas Cormen, Charles Leiserson, Ronald Rivest,
Introduction to Algorithms,
MIT Press, 2001,
ISBN: 0262032937,
LC: QA76.C662.
Gerard Cornuejols, Marshall Fisher, George Nemhauser,
Location of Bank Accounts to Optimize Float, an Analytic Study of Exact and Approximate Algorithms,
Management Science,
Volume 23, Number 8, 1977, pages 789-810.
Gerard Cornuejols, Regina Urbaniak, Robert Weismantel, Laurence Wolsey,
Decomposition of Integer Programs and of Generating Sets,
in Algorithms - ESA '97,
Lecture Notes in Computer Science 1284,
edited by Rainer Burkard, Gerhard Woeginger,
Springer, 1997, pages 92-103,
LC: QA76.9.A43.E83.
Richard Cottle, Jong-Shi Pang, Richard Stone,
The Linear Complementarity Problem,
Academic Press, 1992,
ISBN13: 978-0121923501,
LC: QA402.5.C68.
Trevor Cox, Michael Cox,
Multidimensional Scaling,
Monographs on Statistics and Applied Probability 59,
Chapman and Hall, 1994,
ISBN: 0-412-49120-6,
LC: QA278.C7.
GW Cran, KJ Martin, GE Thomas,
Remark AS R19 and Algorithm AS 109: A Remark on Algorithms AS 63: The Incomplete Beta Integral and AS 64: Inverse of the Incomplete Beta Integeral,
Applied Statistics,
Volume 26, Number 1, 1977, pages 111-114.
Richard Crandall,
Projects in Scientific Computing,
Springer, 2005,
ISBN: 0387950095,
LC: Q183.9.C733.
HL Crane, Norman Gibbs, William Poole, Paul Stockmeyer,
Algorithm 508: Matrix Bandwidth and Profile Reduction,
ACM Transactions on Mathematical Software,
Volume 2, Number 4, December 1976, pages 375-377.
David Crouse,
Remark on Algorithm 515,
ACM Transactions on Mathematical Software,
Volume 33, Number 2, Article 15, June 2007.
Benoit Cushman-Roisin, Jean-Marie Beckers,
Introduction to Geophysical Fluid Dynamics,
Prentice Hall, 1994,
ISBN: 0133533018,
LC: QC809.F5.C87.
Francois Cuvelier, Caroline Japhet, Gilles Scarella,
An efficient way to perform the assembly of finite element matrices in Matlab and Octave,
INRIA Research Report 8305, May 2013.
George Cybenko, Charles vanLoan,
Computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix,
SIAM Journal on Scientific and Statistical Computing,
Volume 7, Number 1, January 1986, pages 123-131. Volume 2, Number 4, December 1976, pages 375-377.
Gaspare daFies, Marco Vianello,
Trigonometric gaussian quadrature on subintervals of the period,
Electronic Transactions on Numerical Analysis,
Volume 39, pages 102-112, 2012.
Carlos daFonseca, Jose Petronilho,
Explicit Inverses of Some Tridiagonal Matrices,
Linear Algebra and Its Applications,
Volume 325, 2001, pages 7-21.
Lisandro Dalcin,
MPI for Python,
Release 1.3,
20 January 2012.
Peter Dalgaard,
Introductory Statistics with R,
Springer, 2008,
ISBN13: 978-0-387-79053-4,
LC: QA276.45.R3.D35.
George Dantzig,
Linear Programming and Extensions,
Princeton University Press, 1998,
ISBN: 0691059136,<
LC: QA265.D3.
Alan Davies, Philip Samuels,
An Introduction to Computational Geometry for Curves and Surfaces,
Clarendon Press, 1996,
ISBN: 0-19-851478-6,
LC: QA448.D38.
Philip Davis,
Are There Coincidences in Mathematics?,
The American Mathematical Monthly,
Volume 88, Number 5, May 1981, pages 311-320.
Philip Davis,
Circulant Matrices,
Second Edition,
Chelsea, 1994,
ISBN13: 978-0828403384,
LC: QA188.D37.
Philip Davis,
Interpolation and Approximation,
Dover, 1975,
ISBN: 0-486-62495-1,
LC: QA221.D33
Philip Davis, Philip Rabinowitz,
Methods of Numerical Integration,
Second Edition,
Dover, 2007,
ISBN: 0486453391,
LC: QA299.3.D28.
Timothy Davis,
Direct Methods for Sparse Linear Systems,
SIAM, 2006,
ISBN: 0898716136,
LC: QA188.D386.
Timothy Davis,
Algorithm 832: UMFPACK, an unsymmetric-pattern multifrontal method,
ACM Transactions on Mathematical Software,
Volume 30, Number 2, June 2004, pages 196-199.
Marc deBerg, Otfried Cheong, Marc Krevald, Mark Overmars,
Computational Geometry,
Springer, 2008,
ISBN: 978-3-540-77973-5,
LC: QA448.D38.C65.
Carl de Boor,
A Practical Guide to Splines,
Springer, 2001,
ISBN: 0387953663,
LC: QA1.A647.v27.
Carl de Boor, John Rice,
Least-squares cubic spline approximation II - variable knots.
Technical Report CSD TR 21,
Purdue University, Lafayette, Indiana, 1968.
Carl de Boor, John Rice,
CADRE: An algorithm for numerical quadrature,
in Mathematical Software,
edited by John Rice,
Academic Press, 1971,
ISBN: 012587250X,
LC: QA1.M766.
Rina Dechter,
Enhancement Schemes for constraint processing: Backjumping, learning, and cutset decomposition,
Artificial Intelligence,
Volume 41, Number 3, January 1990, pages 273-312.
Elise deDoncker, Ian Robinson,
An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation,
ACM Transactions on Mathematical Software,
Volume 10, Number 1, March 1984, pages 1-16.
Elise deDoncker, Ian Robinson,
Algorithm 612: Integration over a Triangle Using Nonlinear Extrapolation,
ACM Transactions on Mathematical Software,
Volume 10, Number 1, March 1984, pages 17-22.
Paul Deitel, Harvey Deitel,
C++: How to Program,
Seventh Edition,
Prentice Hall, 2011,
ISBN: 978-013-216541-9,
LC: QA76.73.C153.D45.
Jacob Dekker,
Finding a Zero by Means of Successive Linear Interpolation,
in Constructive Aspects of the Fundamental Theorem of Algebra,
edited by Bruno Dejon, Peter Henrici,
Wiley, 1969,
ISBN: 0471203009,
LC: QA212.C65.
Marc Deleglise, Joel Rivat,
Computing the Summation of the Moebius Function,
Experimental Mathematics,
Volume 5, 1996, pages 291-295.
Franz-Juergen Delvos, Walter Schempp,
Boolean methods in interpolation and approximation,
Wiley, 1989,
ISBN: 0-470-21583-6,
LC: QA3.P56 v230.
James Demmel, Stanley Eisenstat, John Gilbert, Xiaoye Li, Joseph Liu,
A Supernodal Approach to Sparse Partial Pivoting,
SIAM Journal on Matrix Analysis and Applications,
Volume 20, Number 3, January 1999, pages 720-755.
James Demmel, John Gilbert, Xiaoye Li,
SuperLU User's Guide,
September 1999.
Cor denHeijer, Werner Rheinboldt,
On Steplength Algorithms for a Class of Continuation Methods,
SIAM Journal on Numerical Analysis,
Volume 18, Number 5, October 1981, pages 925-947.
John Dennis, David Gay, Phuong Vu,
A new nonlinear equations test problem,
Technical Report 83-16,
Mathematical Sciences Department,
Rice University, 1983.
John Dennis, David Gay, Roy Welsch,
Algorithm 573: An Adaptive Nonlinear Least-Squares Algorithm,
ACM Transactions on Mathematical Software,
Volume 7, Number 3, September 1981, pages 367-383.
John Dennis, Howell Mei,
Two New Unconstrained Optimization Algorithms Which Use Function and Gradient Values,
Journal of Optimization Theory and Applications,
Volume 28, 1979, pages 453-482.
John Dennis, Jorge More,
Quasi-Newton Methods, Motivation and Theory,
SIAM Review,
Volume 19, Number 1, January 1977, pages 46-89.
John Dennis, Robert Schnabel,
Numerical Methods for Unconstrained Optimization and Nonlinear Equations,
SIAM, 1996,
ISBN13: 978-0-898713-64-0,
LC: QA402.5.D44.
Olivier Devillers, Stefan Meiser, Monique Teillaud,
Fully dynamic Delaunay triangulation in logarithmic expected time per operation,
Computational Geometry: Theory and Applications,
Volume 2, Number 2, 1992, pages 55-80.
Olivier Devillers,
Robust and efficient implementation of the Delaunay tree,
Technical Report 1619,
INRIA, 1992.
Noel deVilliers, David Glasser,
A continuation method for nonlinear regression,
SIAM Journal on Numerical Analysis,
Volume 18, Number 6, December 1981, pages 1139-1154.
Luc Devroye,
Non-Uniform Random Variate Generation,
Springer, 1986,
ISBN: 0387963057,
LC: QA274.D48.
Alexander Dewdney,
Computer Recreations: The Hodgepodge Machine Makes Waves,
Scientific American,
Volume 259, Number 8, August 1988, pages 104-107.
Alexander Dewdney,
Computer Recreations: How to transform flights of fancy into fractal flora or fauna,,
Scientific American,
Volume 262, Number 5, May 1990, pages 126-129.
Alexander Dewdney,
The Tinkertoy Computer and Other Machinations,
Freeman, 1993,
ISBN: 071672491X,
LC: QA76.D458.
Alexander Dewdney,
A computer microscope zooms in for a close look at the most complicated object in mathematics,
Scientific American,
Volume 257, Number 8, August 1985, pages 16-24.
Alexander Dewdney,
The Turing Omnibus,
Freeman, 1989,
ISBN13: 9780716781547,
LC: QA76.D45.
Phoebus Dhrymes,
Moments of Truncated Normal Distributions,
May 2005.
Armido DiDinato, Alfred Morris,
Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios,
ACM Transactions on Mathematical Software,
Volume 18, Number 3, September 1993, pages 360-373.
Armido DiDinato, Alfred Morris,
Algorithm 654: Computation of the Incomplete Gamma Function Ratios and their Inverse,
ACM Transactions on Mathematical Software,
Volume 12, Number 4, December 1986, pages 377-393.
John Dienhart,
Stress in reduplicative compounds: mish-mash or hocus-pocus?,
American Speech,
Volume 74, Number 1, Spring 1999, pages 3-37.
Claude Dietrich, Garry Newsam,
Fast and exact simulation of stationary Gaussian processes through the circulant embedding of the covariance matrix,
SIAM Journal on Scientific Computing,
Volume 18, Number 4, pages 1088-1107, July 1997.
Edsger Dijkstra,
A note on two problems in connexion with graphs,
Numerische Mathematik,
Volume 1, 1959, pages 269-271.
Laurence Dixon, Gabor Szego,
The optimization problem: An introduction,
in Towards Global Optimisation,
edited by Laurence Dixon, Gabor Szego,
North-Holland, 1975,
ISBN: 0444109552,
LC: QA402.5.T7.
Janet Donaldson, Peter Tryon,
User's Guide to STARPAC,
The Standards Time Series and Regression Package,
Technical Report NBSIR 86-3448,
National Institute of Standards and Technology, 1987.
Jack Dongarra,
Performance of Various Computers Using Standard Linear Equations Software, Technical Report CS-89-85,
Electrical Engineering and Computer Science Department,
University of Tennessee, 2008.
Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
LINPACK User's Guide,
SIAM, 1979,
ISBN13: 978-0-898711-72-1,
LC: QA214.L56.
Jack Dongarra, Francis Sullivan,
Top Ten Algorithms of the Century,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 22-23.
Jack Dongarra, Clinton Whaley,
A User's Guide to the BLACS, v1.1,
LAPACK Working Note 94.
Thomas Donnelly,
Algorithm 462: Bivariate Normal Distribution,
Communications of the ACM,
Volume 16, Number 10, October 1973, page 638.
George Donovan, Arnold Miller, Timothy Moreland,
Pathological Functions for Newton's Method,
American Mathematical Monthly,
Volume 100, Number 1, January 1993, pages 53-58.
Thomas Dornseifer,
Diskretisierung allgemeiner elliptischer Differentialgleichungen in krummlinigen Koordinatensystemen auf dnnen Gittern,
(Discretization of general elliptic differential equations in curvilinear coordinate systems on sparse grids),
PhD Thesis,
Mathematics Department,
Technical University of Munich, 1997.
Fred Dorr,
An example of ill-conditioning in the numerical solution of singular perturbation problems,
Mathematics of Computation,
Volume 25, Number 114, April 1971, pages 271-283.
Egon Dorrer,
Algorithm 322: F-Distribution,
Communications of the ACM,
Volume 11, Number 2, 1968, pages 116-117.
Norman Draper, Harry Smith,
Applied Regression Analysis,
Wiley, 1998,
ISBN: 978-0471170822,
LC: QA278.2.D7.
Tobin Driscoll, Lloyd Trefethen,
Schwarz-Christoffel Mapping,
Cambridge, 2002,
ISBN: 0-521-80726-3,
LC: QA360.D75.
Toby Driscoll,
Mercer's theorem and the Karhunen-Loeve expansion,
Oxford University Mathematical Institute.
Qiang Du, Vance Faber, Max Gunzburger,
Centroidal Voronoi Tessellations: Applications and Algorithms,
SIAM Review,
Volume 41, Number 4, December 1999, pages 637-676.
Qiang Du, Max Gunzburger, Lili Ju,
Meshfree, Probabilistic Determination of Point Sets and Support Regions for Meshfree Computing,
Computer Methods in Applied Mechanics in Engineering,
Volume 191, Issues 13-14, January 2002, pages 1349-1366.
Qiang Du, Desheng Wang,
The Optimal Centroidal Voronoi Tesselations and the Gersho's Conjecture in the Three-Dimensional Space,
Computers and Mathematics with Applications,
Volume 49, 2005, pages 1355-1373.
Qiang Du, Max Gunzburger, Rich Lehoucq, Kun Zhou,
Analysis and approximation of nonlocal diffusion problems with volume constraints,
SIAM Review,
Volume 54, Number 4, pages 667-696, 2012.
Paul DuBois,
Using CSH and TCSH,
O'Reilly, 1995,
ISBN: 1-56592-132-1,
LC: QA76.76.O63.D82.
Augustin Dubrulle,
A short note on the implicit QL algorithm for symmetric tridiagonal matrices,
Numerische Mathematik,
Volume 15, Number 5, September 1970, page 450.
David Duce, editor,
Portable Network Graphics (PNG) Specification,
Second Edition.
Technical Report REC-PNG-20031110,
World Wide Web Consortium, 2003.
Iain Duff, Roger Grimes, John Lewis,
User's Guide for the Harwell-Boeing Sparse Matrix Collection,
Technical Report TR/PA/92/86,
CERFACS, October 1992.
Iain Duff, Roger Grimes, John Lewis,
The Rutherford-Boeing Sparse Matrix Collection,
Technical Report RAL-TR-97-031,
Rutherford Appleton Laboratory, 1997.
Iain Duff, Roger Grimes, John Lewis,
Sparse Matrix Test Problems,
ACM Transactions on Mathematical Software,
Volume 15, Number 1, March 1989, pages 1-14.
Peter Duffett-Smith,
Practical Astronomy With Your Calculator,
Third Edition,
Cambridge University Press, 1996,
ISBN: 0-521-35699-7,
LC: QB62.5.D83.
David Dunavant,
High Degree Efficient Symmetrical Gaussian Quadrature Rules for the Triangle,
International Journal for Numerical Methods in Engineering,
Volume 21, 1985, pages 1129-1148.
Peter Eades, Ian Fogg, David Kelly,
SPREMB: A System for Developing Graph Algorithms,
Congressus Numerantium,
Volume 66, December 1988, pages 123-140.
Eric Easom,
A survey of global optimization techniques,
Master of Engineering thesis,
University of Louisville, Louisville, Kentucky, 1990.
Patricia Eberlein,
A Two-Parameter Test Matrix,
Mathematics of Computation,
Volume 18, Number 86, April 1964, pages 296-298.
William Eddy,
CONVEX, a dnew convex hull algorithm for planar sets,
ACM Transactions on Mathematical Software,
Volume 3, 1977, pages 411-412.
Alan Edelman, Eric Kostlan,
The road from Kac's matrix to Kac's random polynomials.
in Proceedings of the Fifth SIAM Conference on Applied Linear Algebra,
edited by John Lewis,
SIAM, 1994,
ISBN: 0898713366,
LC: QA184.S58.
Herbert Edelsbrunner,
Geometry and Topology for Mesh Generation,
Cambridge, 2001,
ISBN: 0-521-79309-2,
LC: QA377.E36.
Bo Einarsson,
Algorithm 418: Calculation of Fourier Integrals,
Communications of the ACM,
Volume 15, Number 1, January 1972, pages 47-48.
Michael Eldred, John Burkardt,
Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification,
American Institute of Aeronautics and Astronautics,
Paper 2009-0976,
47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition,
5 - 8 January 2009, Orlando, Florida.
Sylvan Elhay, Jaroslav Kautsky,
Algorithm 655: IQPACK, FORTRAN Subroutines for the Weights of Interpolatory Quadrature,
ACM Transactions on Mathematical Software,
Volume 13, Number 4, December 1987, pages 399-415.
Charles Elkan,
Using the Triangle Inequality to Accelerate k-Means,
Proceedings of the Twentieth International Conference on Machine Learning (ICML-2003), Washington DC, 2003.
Miles Ellis, Ivor Philips, Thomas Lahey,
Fortran90 Programming,
Addison-Wesley, 1994,
ISBN: 0-201-54446-6,
LC: QA76.73.F25E435.
Howard Elman, Darran Furnaval,
Solving the stochastic steady-state diffusion problem using multigrid,
IMA Journal on Numerical Analysis,
Volume 27, Number 4, 2007, pages 675-688.
Howard Elman, Alison Ramage, David Silvester,
Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics,
Oxford, 2005,
ISBN: 978-0198528678,
LC: QA911.E39.
Howard Elman, Alison Ramage, David Silvester,
Algorithm 866: IFISS, A Matlab Toolbox for Modelling Incompressible Flow,
ACM Transactions on Mathematical Software,
Volume 33, Number 2, June 2007, Article 14.
Howard Elman, Alison Ramage, David Silvester,
Incompressible Flow Iterative Solution Software (IFISS), Installation and Software Guide,
Version 3.1, released 25 January 2011.
Gisela Engeln-Muellges, Frank Uhlig,
Numerical Algorithms with C,
Springer, 1996,
ISBN: 3-540-60530-4,
LC: QA297.E56213.
Hermann Engels,
Numerical Quadrature and Cubature,
Academic Press, 1980,
ISBN: 012238850X,
LC: QA299.3E5.
Wayne Enright, John Pryce,
Two FORTRAN packages for assessing initial value methods,
ACM Transactions on Mathematical Software,
Volume 13, Number 1, March 1987, pages 1-27.
Wayne Enright, John Pryce,
Algorithm 648: NSDTST and STDTST,
ACM Transactions on Mathematical Software,
Volume 13, Number 1, March 1987, pages 28-34.
Furio Ercolessi,
A Molecular Dynamics Primer.
Thomas Ericson, Victor Zinoviev,
Codes on Euclidean Spheres,
Elsevier, 2001,
ISBN: 0444503293,
LC: QA166.7E75.
C Ross Ethier, D A Steinman,
Exact fully 3D Navier-Stokes solutions for benchmarking,
International Journal for Numerical Methods in Fluids,
Volume 19, Number 5, March 1994, pages 369-375.
Gwynne Evans,
Practical Numerical Integration,
Wiley, 1993,
ISBN: 047193898X,
LC: QA299.3E93.
Lawrence Evans,
An Introduction to Stochastic Differential Equations,
[Lecture Notes].
Merran Evans, Nicholas Hastings, Brian Peacock,
Statistical Distributions,
Wiley, 2000,
ISBN: 0471371246,
LC: QA273.6E92.
Brian Everitt, David Hand,
Finite Mixture Distributions,
Chapman and Hall, 1981,
ISBN: 0412224208,
LC: QA273.6.E93.
Graeme Fairweather,
Algorithm 351: Modified Romberg Quadrature,
Communications of the ACM,
Volume 12, Number 6, June 1969, page 324.
Graeme Fairweather,
On the eigenvalues and eigenvectors of a class of Hessenberg matrices,
SIAM Review,
Volume 13, Number 2, April 1971, pages 220-221.
Richard Falk,
Error estimates for the approximation of a class of variational inequalities,
Mathematics of Computation,
Volume 28, Number 128, October 1974, pages 963-971.
Simeon Fatunla,
Numerical Methods for Initial Value Problems in Ordinary Differential Equations,
Academic Press, 1988,
ISBN: 0122499301,
LC: QA372.F35.
Henri Faure,
Discrepance de suites associees a un systeme de numeration (en dimension s),
Acta Arithmetica,
Volume 41, 1982, pages 337-351.
Henri Faure,
Good permutations for extreme discrepancy,
Journal of Number Theory,
Volume 42, Number 1, September 1992, pages 47-56.
Enrico Federghi,
Extended Tables of the Percentage Points of Student's T-Distribution,
Journal of the American Statistical Association,
Volume 54, Number 287, 1959, pages 683-688.
Erwin Fehlberg,
Low-order Classical Runge-Kutta Formulas with Stepsize Control,
Technical Report R-315,
NASA, 1969.
Carlos Felippa,
A compendium of FEM integration formulas for symbolic work,
Engineering Computation,
Volume 21, Number 8, 2004, pages 867-890.
Zdenek Fencl,
Algorithm 456: Routing Problem,
Communications of the ACM,
Volume 16, Number 9, September 1973, pages 572-574.
Robert Fenichel,
Algorithm 329: Distribution of Indistinguishable Objects into Distinguishable Slots,
Communications of the ACM,
Volume 11, Number 6, June 1968, page 430.
David Field,
Qualitative Measures for Initial Meshes,
International Journal for Numerical Methods in Engineering,
Volume 47, Number 4, February 2000, pages 887-906.
David Fincham, BJ Ralston,
Molecular Dynamics Simulation Using the Cray-1 Vector Processing Computer,
Computer Physics Communications,
Volume 23, Number 2, July 1981, pages 127-134.
Jim Fink, Werner Rheinboldt,
On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations,
Zeitschrift fuer Angewandte Mathematik und Mechanik,
Volume 63, 1983, pages 21-28.
Nicholas Fisher,
Statistical Analysis of Circular Data,
Cambridge, 1993,
ISBN: 0521568900,
LC: QA276.F488.
Nicholas Fisher, Toby Lewis, Brian Embleton,
Statistical Analysis of Spherical Data,
Cambridge, 2003,
ISBN13: 978-0521456999,
LC: QA276.F489.
Ronald Fisher,
The use of multiple measurements in taxonomic problems,
Annual Eugenics,
Volume 7, part II, 1936, pages 179-188.
George Fishman,
Multiplicative congruential random number generators with modulus 2**b: an exhaustive analysis for b = 32 and a partial analysis for b = 48,
Mathematics of Computation,
Volume 189, 1990, pages 331-344.
Roger Fletcher,
Practical Methods of Optimization,
Wiley, 1987,
ISBN13: 978-0471494638,
LC: QA402.5.F43.
Robert Floyd,
Algorithm 97: Shortest Path,
Communications of the ACM,
Volume 5, Number 6, page 345, June 1962.
Natasha Flyer, Grady Wright, Bengt Fornberg,
Radial Basis Function-generated Finite Differences: A Mesh-free Method for Computational Geosciences,
Geoscience, Accepted.
James Foley, Andries vanDam, Steven Feiner, John Hughes,
Computer Graphics, Principles and Practice,
Second Edition,
Addison Wesley, 1995,
ISBN: 0201848406,
LC: T385.C5735.
Gerald Folland,
How to Integrate a Polynomial Over a Sphere,
American Mathematical Monthly,
Volume 108, Number 5, May 2001, pages 446-448.
Lester Ford,
Network Flow Theory,
RAND Corporation Paper P-923, 1956.
Brand Fortner,
Number by Colors, A Guide to Using Color to Understand Technical Data,
Springer, 1997,
ISBN: 0387946853,
LC: QC495.F6.
Steve Fortune,
A Sweepline Algorithm for Voronoi Diagrams,
Algorithmica,
Volume 2, Number 1, March 1987, pages 153-174.
Bennett Fox,
Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators,
ACM Transactions on Mathematical Software,
Volume 12, Number 4, December 1986, pages 362-376.
Geoffrey Fox, Mark Johnson, Gregory Lyzenga, Steve Otto, John Salmon, David Walker,
Solving problems on concurrent Processors,
Volume 1: General Techniques and Regular Problems,
Prentice Hall, 1988,
ISBN: 0-13-8230226,
LC: QA76.5.F627.
Leslie Fox, Ian Parker,
Chebyshev Polynomials in Numerical Analysis,
Oxford Press, 1968,
LC: QA297.F65.
Phyllis Fox, Andrew Hall, Norman Schryer,
Algorithm 528: Framework for a Portable Library,
ACM Transactions on Mathematical Software,
Volume 4, Number 2, June 1978, page 176-188.
Chris Fraley,
Solution of nonlinear least-squares problems,
Technical Report STAN-CS-1165,
Computer Science Department,
Stanford University, 1987.
Chris Fraley,
Software performance on nonlinear least-squares problems,
Technical Report SOL 88-17,
Systems Optimization Laboratory,
Department of Operations Research,
Stanford University, 1988.
Werner Frank,
Computing eigenvalues of complex matrices by determinant evaluation, and by methods of Danilewski and Wielandt,
Journal of the Society for Industrial and Applied Mathematics,
Volume 6, Number 4, December 1958, pages 378-392.
Richard Franke,
A Critical Comparison of Some Methods for Interpolation of Scattered Data,
Naval Postgraduate School Technical Report,
NPS-53-79-003, 1979.
Richard Franke,
Scattered Data Interpolation: Tests of Some Methods,
Mathematics of Computation,
Volume 38, Number 157, January 1982, pages 181-200.
PR Freeman,
Algorithm AS 59: Hypergeometric Probabilities,
Applied Statistics,
Volume 22, Number 1, 1973, pages 130-133.
PR Freeman,
Remark AS R44: A Remark on AS 6 and AS7: Triangular decomposition of a symmetric matrix and Inversion of a positive semi-definite symmetric matrix,
Applied Statistics,
Volume 31, Number 3, 1982, pages 336-339.
Jouni Freund, Rolf Stenberg,
On weakly imposed boundary conditions for second order problems,
Proceedings of the International Conference on Finite Elements in Fluids, New trends and applications,
Venezia, 15-21 October 1995.
Isaac Fried,
Condition of finite element matrices generated from nonuniform meshes,
AIAA Journal,
Volume 10, Number 2, 1972, pages 219-221.
Isaac Fried,
Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices,
International Journal of Structures and Solids,
Volume 9, Number 9, September 1973, pages 1013-1034.
Ferdinand Freudenstein, Bernhard Roth,
Numerical Solutions of Nonlinear Equations,
Journal of the ACM,
Volume 10, Number 4, October 1963, pages 550-556.
Pascal Frey,
MEDIT: An interactive mesh visualization software,
Technical Report RT-0253,
Institut National de Recherche en Informatique et en Automatique,
03 December 2001.
H Frick,
Algorithm AS R84: A Remark on Algorithm AS 226: Computing Noncentral Beta Probabilities,
Applied Statistics,
Volume 39, Number 2, 1990, pages 311-312.
Fred Fritsch,
Representations for Parametric Cubic Splines,
Computer Aided Geometric Design,
Volume 6, 1989, pages 79-82.
Fred Fritsch, Judy Butland,
A Method for Constructing Local Monotone Piecewise Cubic Interpolants,
SIAM Journal on Scientific and Statistical Computing,
Volume 5, Number 2, June 1984, pages 300-304.
Fred Fritsch,
Piecewise Cubic Hermite Interpolation Package, Final Specifications,
Lawrence Livermore National Laboratory,
Computer Documentation UCID-30194, August 1982.
Fred Fritsch, Ralph Carlson,
Monotone Piecewise Cubic Interpolation,
SIAM Journal on Numerical Analysis,
Volume 17, Number 2, April 1980, pages 238-246.
Fred Fritsch, RE Shafer, WP Crowley,
Algorithm 443: Solution of the Transcendental Equation W*exp(W)=X,
Communications of the ACM,
Volume 16, Number 1, February 1973, pages 123-124.
Hiroshi Fukuda, Mitsuaki Katsuya, Erwin Alt, Alexander Matveenko,
Gaussian quadrature rule for arbitrary weight function and interval,
Computer Physics Communications,
Volume 167, Number 2, 15 April 2005, pages 143-150.
Wayne Fullerton,
Algorithm 435: Modified Incomplete Gamma Function,
Communications of the ACM,
Volume 15, Number 11, November 1972, pages 993-995.
Wayne Fullerton,
Portable Special Function Routines,
in Portability of Numerical Software,
edited by Wayne Cowell,
Lecture Notes in Computer Science, Volume 57, pages 452-483,
Springer 1977,
ISBN: 978-3-540-08446-4,
LC: QA297.W65.
Gustavo Galimberti, Victor Pereyra,
Numerical Differentiation and the Solution of Multidimensional Vandermonde Systems,
Mathematics of Computation,
Volume 24, Number 110, April 1970, pages 357-364.
Efstratios Gallopoulos, Yousef Saad,
Efficient solution of parabolic equations by Krylov approximation methods,
Technical Report TR90.14,
Research Institute for Advanced Computer Science, 1990.
Walter Gander, Jiri Hrebicek, Solving Problems in Scientific Computing using Maple and Matlab, Springer, 1997, ISBN: 3-540-61793-0, LC: Q183.9.G36.
Jochen Garcke, Michael Griebel,
Classification with Anisotropic Sparse Grids Using Simplicial Basis Functions,
Intelligent Data Analysis,
Volume 6, Number 6, 2002, pages 483-502.
Jochen Garcke,
Sparse Grid Tutorial,
http://page.math.tu-berlin.de/~garcke/paper/sparseGridTutorial.pdf
Martin Gardner,
Mathematical Games: The Fantastic Combinations of John Conway's new solitaire game "Life",
Scientific American,
Volume 223, Number 4, October 1970, pages 120-123.
Martin Gardner,
The Mathematical Carnival,
Knopf, 1975,
ISBN: 0394494067,
LC: QA95.G286.
Martin Gardner,
White and brown music, fractal curves and one-over-f fluctuations,
Scientific American,
Volume 238, Number 4, April 1978, pages 16-32.
Martin Gardner,
The Mathematical Circus,
Mathematics Association of America,
ISBN13: 978-0883855065,
LC: QA95.G287.
Marcus Garvie,
Finite-Difference Schemes for Reaction-Diffusion Equations Modeling Predator-Prey Interactions in MATLAB,
Bulletin of Mathematical Biology,
Volume 69, Number 3, 2007, pages 931-956.
Marcus Garvie, John Burkardt, Jeff Morgan,
Simple Finite Element Methods for Approximating Predator-Prey Dynamics in Two Dimensions using MATLAB,
Bulletin of Mathematical Biology,
Accepted.
Walter Gautschi,
Algorithm 282: Derivatives of EXP(X)/X, COS(X)/X, and SIN(X)/X,
Communications of the ACM,
Volume 9, Number 4, April 1966, page 272.
Walter Gautschi,
A Computational Procedure for Incomplete Gamma Functions,
ACM Transactions on Mathematical Software,
Volume 5, Number 4, December 1979, pages 466-481.
Walter Gautschi,
Algorithm 542: Incomplete Gamma Functions,
ACM Transactions on Mathematical Software,
Volume 5, Number 4, December 1979, pages 482-489.
Walter Gautschi,
Numerical Quadrature in the Presence of a Singularity,
SIAM Journal on Numerical Analysis,
Volume 4, Number 3, September 1967, pages 357-362.
Walter Gautschi,
On Generating Orthogonal Polynomials,
SIAM Journal on Scientific and Statistical Computing,
Volume 3, Number 3, 1982, pages 289-317.
Walter Gautschi,
Orthogonal Polynomials: Computation and Approximation,
Oxford, 2004,
ISBN: 0-19-850672-4,
LC: QA404.5 G3555.
Walter Gautschi,
Algorithm 793: GQRAT, Gauss Quadrature for Rational Functions,
ACM Transactions on Mathematical Software,
Volume 25, Number 2, pages 213-239, June 1999.
David Gay,
Computing Optimal Locally Constrained Steps,
SIAM Journal on Scientific and Statistical Computing,
Volume 2, Number 2, June 1981, pages 186-197.
David Gay,
Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust Region Approach,
ACM Transactions on Mathematical Software,
Volume 9, Number 4, December 1983, pages 503-524.
Charles Gear,
Numerical Initial Value Problems in Ordinary Differential Equations,
Prentice Hall, 1971,
ISBN: 0136266061,
LC: QA372.G4.
Charles Gear,
A simple set of test matrices for eigenvalue programs,
Mathematics of Computation,
Volume 23, Number 105, January 1969, pages 119-125.
Mark Gelassi, Jim Davies, James Tyler, Bryan Gough, Reid Priedhorsky, Gerard Jungman, Michael Booth, Fabrice Rossi,
The GNU Scientific Library Reference Manual,
Network Theory Limited, 2005,
ISBN: 0954161734.
Morven Gentleman, Scott Marovich,
More on Algorithms that Reveal Properties of Floating Point Arithmetic Units,
Communications of the ACM,
Volume 17, Number 5, May 1974, pages 276-277.
Morven Gentleman,
Algorithm 424: Clenshaw-Curtis Quadrature,
Communications of the ACM,
Volume 15, Number 5, May 1972, pages 353-355.
Alan Genz,
Testing multidimensional integration routines,
in Tools, Methods, and Languages for Scientific and Engineering Computation,
edited by B Ford, JC Rault, F Thomasset,
North-Holland, 1984, pages 81-94,
ISBN: 0444875700,
LC: Q183.9.I53.
Alan Genz,
A package for testing multiple integration subroutines,
in Numerical Integration: Recent Developments, Software and Applications,
edited by Patrick Keast, Graeme Fairweather,
Reidel, 1987, pages 337-340,
ISBN: 9027725144,
LC: QA299.3.N38.
Alan Genz,
Fully symmetric interpolatory rules for multiple integrals,
SIAM Journal on Numerical Analysis,
Volume 23, Number 6, December 1986, pages 1273-1283.
Alan Genz, Ronald Cools,
An adaptive cubature algorithm for simplices,
ACM Transactions on Mathematical Software,
Volume 29, Number 3, September 2003, pages 297-308.
Alan Genz, Ronald Cools,
Algorithm 824: CUBPACK: a package for automatic cubature; framework description,
ACM Transactions on Mathematical Software,
Volume 29, Number 3, September 2003, pages 287-296.
Alan Genz, Ron Cools,
An adaptive numerical cubature algorithm for simplices,
Technical Report TW273,
Department of Computer Science,
Katholieke Universiteit Leuven, 1997.
Alan Genz, Bradley Keister,
Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight,
Journal of Computational and Applied Mathematics,
Volume 71, 1996, pages 299-309.
Alan George, Joseph Liu,
Computer Solution of Large Sparse Positive Definite Matrices,
Prentice Hall, 1981,
ISBN: 0131652745,
LC: QA188.G46.
Priamos Georgiades,
Signed Distance From Point To Plane,
in Graphics Gems III,
edited by David Kirk,
Academic Press, 1992,
ISBN: 0124096735,
LC: T385.G6973.
Thomas Gerstner, Michael Griebel,
Numerical Integration Using Sparse Grids,
Numerical Algorithms,
Volume 18, Number 3-4, January 1998, pages 209-232.
Thomas Gerstner, Michael Griebel,
Dimension-adaptive tensor-product quadrature,
Computing,
Volume 71, Number 1, August 2003, pages 65-87.
Christophe Geuzaine, Jean-Francois Remacle,
Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities,
International Journal for Numerical Methods in Engineering,
Volume 79, Number 11, pages 1309-1331, 2009.
The gfortran team,
Using GNU Fortran,
The Free Software Foundation, 2010.
Roger Ghanem, Pol Spanos,
Stochastic Finite Elements: A Spectral Approach,
Revised Edition,
Dover, 2003,
ISBN: 0486428184,
LC: TA347.F5.G56.
Alan Gibbons,
Algorithmic Graph Theory,
Cambridge University Press, 1985,
ISBN: 0-5212-8881-9,
LC: QA166.G53.
Norman Gibbs,
Algorithm 509: A Hybrid Profile Reduction Algorithm,
ACM Transactions on Mathematical Software,
Volume 2, Number 4, December 1976, pages 378-387.
Norman Gibbs, William Poole, Paul Stockmeyer,
An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix,
SIAM Journal on Numerical Analysis,
Volume 13, Number 2, April 1976, pages 236-250.
Jean Charles Gilbert, Jorge Nocedal,
Global Convergence Properties of Conjugate Gradient Methods,
SIAM Journal on Optimization,
Volume 2, Number 1, 1992, pages 21-42.
John Gilbert, Cleve Moler, Robert Schreiber,
Sparse Matrices in MATLAB: Design and Implementation,
SIAM Journal on Matrix Analysis and Applications,
Volume 13, Number 1, 1992, pages 333-356.
Philip Gill, GF Miller,
An algorithm for the integration of unequally spaced data,
The Computer Journal,
Volume 15, Number 1, 1972, pages 80-83.
Philip Gill, Walter Murray,
Algorithms for the Solution of the Non-linear Least-squares Problem,
SIAM Journal on Numerical Analysis,
Volume 15, Number 5, October 1978, pages 977-991.
Edward Giorgianni, Thomas Madden,
Digital Color Management, Encoding Solutions,
Addison Wesley, 1998,
ISBN: 0201634260,
LC: TA1637.G56.
Dan Givoli,
The Top 10 Computational Methods of the 20th Century,
IACM Expressions,
Number 11, September 2001, pages 5-9.
Andreas Glaser, Xiangtao Liu, Vladimir Rokhlin,
A fast algorithm for the calculation of the roots of special functions,
SIAM Journal on Scientific Computing,
Volume 29, Number 4, pages 1420-1438, 2007.
Darren Glass, Philip Lowry,
Quasigeometric Distributions and Extra Inning Baseball Games,
Mathematics Magazine,
Volume 81, Number 2, April 2008, pages 127-137.
David Gleich,
PageRank Beyond the Web,
SIAM Review,
Volume 57, Number 3, 2015, pages 321-363.
James Gleick,
Chaos: The Making of a New Science,
Viking, 1987,
ISBN13: 978-0140092509,
LC: Q172.5.C45.G54.
Donald Goldfarb,
Factorized Variable Metric Methods for Unconstrained Optimization,
Mathematics of Computation,
Volume 30, Number 136, October 1976, pages 796-811.
Steven Goldfeld, Richard Quandt, Hale Trotter,
Maximization by Quadratic Hill-climbing,
Econometrica,
Volume 34, 1966, pages 541-551.
Richard Goldstein,
Algorithm 451: Chi-Square Quantiles,
Communications of the ACM,
Volume 16, Number 8, August 1973, pages 483-484.
Allen Goldstein, J Price,
On descent from local minima,
Mathematics of Computation,
Volume 25, Number 115, 1971.
Gene Golub,
Some Modified Matrix Eigenvalue Problems,
SIAM Review,
Volume 15, Number 2, Part 1, April 1973, pages 318-334.
Gene Golub, Christian Reinsch,
Singular Value Decomposition and Least Squares Solutions,
Numerische Mathematik,
Volume 14, Number 5, April 1970, pages 403-420.
Gene Golub, Thomas Robertson,
A generalized Bairstow Algorithm,
Communications of the ACM,
Volume 10, Number 6, June 1967, pages 371-373.
Gene Golub, Charles VanLoan,
Matrix Computations,
Third Edition,
Johns Hopkins, 1996,
ISBN: 0-8018-4513-X,
LC: QA188.G65.
Gene Golub, John Welsch,
Calculation of Gaussian Quadrature Rules,
Mathematics of Computation,
Volume 23, Number 106, April 1969, pages 221-230.
Gene Golub, James Wilkinson,
Ill-conditioned eigensystems and the computation of the Jordan canonical form,
SIAM Review,
Volume 18, Number 4, October 1976, pages 578-619.
Jonas Gomes, Luiz Velho,
Image Processing for Computer Graphics,
Springer, 1997,
ISBN: 0387948546,
LC: T385.G65.
Gaston Gonnet,
On the Structure of Zero Finders,
BIT Numerical Mathematics,
Volume 17, Number 2, June 1977, pages 170-183.
I J Good,
The Colleague Matrix: A Chebyshev Analogue of the Companion Matrix,
The Quarterly Journal of Mathematics,
Volume 12, Number 1, 1961, pages 61-68.
Jacob Goodman, Joseph ORourke, editors,
Handbook of Discrete and Computational Geometry,
Second Edition,
CRC/Chapman and Hall, 2004,
ISBN: 1-58488-301-4,
LC: QA167.H36.
William Gordon,
Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation,
SIAM Journal on Numerical Analysis,
Volume 8, Number 1, March 1971, pages 158-177.
William Gordon, Charles Hall,
Transfinite Element Methods: Blending-Function Interpolation over Arbitrary Curved Element Domains,
Numerische Mathematik,
Volume 21, Number 1, February 1973, pages 109-129.
William Gordon, Charles Hall,
Construction of Curvilinear Coordinate Systems and Application to Mesh Generation,
International Journal for Numerical Methods in Engineering,
Volume 7, 1973, pages 461-477.
Brian Gough,
An Introduction to GCC,
Network Theory Ltd,
ISBN: 0-9541617-9-3.
MJC Gover,
The explicit inverse of factorial Hankel matrices,
Department of Mathematics, University of Bradford, 1993.
John Gower,
Some distance properties of latent root and vector methods used in multivariate analysis,
Biometrika,
Volume 53, 1966, pages 325-328.
J Grad, MA Brebner,
Algorithm 343: Eigenvalues and Eigenvectors of a Real General Matrix,
Communications of the ACM,
Volume 11, Number 12, December 1968, pages 820-826.
Ronald Graham, Neil Sloane,
Anti-Hadamard Matrices,
Linear Algebra and Its Applications,
Volume 62, November 1984, pages 113-137.
Joseph Grcar,
Operator coefficient methods for linear equations,
Technical Report SAND89-8691,
Sandia National Laboratories,
Albuquerque, New Mexico, 1989.
Robert Gregory, David Karney,
A Collection of Matrices for Testing Computational Algorithms,
Wiley, 1969,
ISBN: 0882756494,
LC: QA263.68.
Michael Griebel, Thomas Dornseifer, Tilman Neunhoeffer,
Numerical Simulation in Fluid Dynamics,
SIAM, 1998,
ISBN13: 978-0-898713-98-5,
LC: QA911.G718.
Michael Griebel, Daniel Oeltz, Panayot Vassilevski,
Space-Time approximation with sparse grids,
SIAM Journal on Scientific Computing,
Volume 28, Number 2, 2006, pages 701-727.
Arthur Griffith,
GCC: The Complete Reference,
McGrawHill,
ISBN: 0-07-222405-3,
LC: QA76.76.C65.G75.
Paul Griffiths, David Hill,
Applied Statistics Algorithms,
Horwood, 1985,
ISBN: 0853127727,
LC: QA276.4.A57.
Markus Grimmer, Knut Petras, Nathalie Revol,
Multiple precision interval packages: Comparing Different Approaches,
Technical Report 2003-32,
Laboratoire de l'Informatique du Parallelisme,
Ecole Normale Superieure de Lyon, 2003.
William Gropp, Steven Huss-Lederman, Andrew Lumsdaine, Ewing Lusk, Bill Nitzberg, William Saphir, Marc Snir,
MPI: The Complete Reference,
Volume II: The MPI-2 Extensions,
Second Edition,
MIT Press, 1998,
ISBN13: 978-0-262-57123-4,
LC: QA76.642.M65.
William Gropp, Ewing Lusk, Anthony Skjellum,
Using MPI: Portable Parallel Programming with the Message-Passing Interface,
Second Edition,
MIT Press, 1999,
ISBN: 0262571323,
LC: QA76.642.G76.
William Gropp, Ewing Lusk, Rajiv Thakur,
Using MPI-2: Advanced Features of the Message-Passing Interface,
Second Edition,
MIT Press, 1999,
ISBN: 0262571331,
LC: QA76.642.G762.
Branko Gruenbaum, Geoffrey Shephard,
Pick's Theorem,
The American Mathematical Monthly,
Volume 100, Number 2, February 1993, pages 150-161.
Axel Grundmann, Michael Moeller,
Invariant Integration Formulas for the N-Simplex by Combinatorial Methods,
SIAM Journal on Numerical Analysis,
Volume 15, Number 2, April 1978, pages 282-290.
William Guenther,
Evaluation of probabilities for the noncentral distributions and difference of two T-variables with a desk calculator,
Journal of Statistical Computation and Simulation,
Volume 6, Number 3-4, 1978, pages 199-206.
Richard Gunst, Robert Mason,
Regression Analysis and Its Applications: a data-oriented approach,
Dekker, 1980,
ISBN: 0824769937,
LC: QA278.2.G85.
David Gunter, Steven Burnett,
Client/Server Programming with RPC and DCE,
Que, 1995,
ISBN: 0-7897-0182-0,
LC: QA76.9.C55.G86.
Max Gunzburger, Janet Peterson,
On Conforming Finite Element Methods for the Inhomogeneous Stationary Navier-Stokes Equations,
Numerische Mathematik,
Volume 42, Number 2, June 1983, pages 173-194.
Max Gunzburger,
Finite Element Methods for Viscous Incompressible Flows,
A Guide to Theory, Practice, and Algorithms,
Academic Press, 1989,
ISBN: 0-12-307350-2,
LC: TA357.G86.
Max Gunzburger, Janet Peterson,
Predictor and Steplength Selection in Continuation Methods for the Navier Stokes Equations,
Computers and Mathematics with Applications,
Volume 22, Number 8, 1991, pages 73-81.
Max Gunzburger, Catalin Trenchea,
Analysis and Discretization of an Optimal Control Problem for the Time-Periodic MHD Equations,
Journal of Mathematical Analysis and Applications,
Volume 308, Number 2, 2005, pages 440-466.
Max Gunzburger, Rich Lehoucq,
A nonlocal vector calculus with application to nonlocal boundary value problems,
Multiscale Modeling and Simulation,
Volume 8, Number 5, 2010, pages 1581-1598.
Lester Haar, John Gallagher, George Kell,
NBS/NRC Steam Tables: Thermodynamic and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI Units,
Hemisphere Publishing Corporation, Washington, 1984,
ISBN: 0-89116-353-0,
LC: TJ270.H3.
Seymour Haber,
Parameters for Integrating Periodic Functions of Several Variables,
Mathematics of Computation,
Volume 41, Number 163, July 1983, pages 115-129.
Laurent Habsieger, Maxim Kazarian, Sergei Lando,
On the Second Number of Plutarch,
American Mathematical Monthly,
Volume 105, Number 5, May 1998, page 446.
Louis Hageman, David Young,
Applied Iterative Methods,
Academic Press, 1981,
ISBN: 0-12-313340-8,
LC: QA297.8.H34.
William Hager,
Condition Estimates,
SIAM Journal on Scientific and Statistical Computing,
Volume 5, Number 2, June 1984, pages 311-316.
William Hager,
Applied Numerical Linear Algebra,
Prentice Hall, 1988,
ISBN13: 978-0130412942,
LC: QA184.H33.
Brian Hahn, Dan Valentine,
Essential MATLAB for Engineers and Scientists,
Academic Press, 2009,
ISBN13: 978-0123748836,
LC: TA345.V34.
Ernst Hairer, Syvert Norsett, Gerhard Wanner,
Solving Ordinary Differential Equations I: Nonstiff Problems,
Springer, 1987,
ISBN: 3540566708,
LC: QA372.H16.
Charles Hall,
Industrial Mathematics: A Course in Realism,
American Mathematical Monthly,
Volume 82, Number 6, June-July 1975, pages 651-659.
Charles Hall, Thomas Porsching,
Numerical Analysis of Partial Differential Equations,
Prentice-Hall, 1990,
ISBN: 013626557X,
LC: QA374.H29.
Roy Hall,
Illumination and Color in Computer Generated Imagery,
Springer, 1989,
ISBN: 0387967745,
LC: T385.H327.
John Halton,
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals,
Numerische Mathematik,
Volume 2, Number 1, December 1960, pages 84-90.
John Halton, GB Smith,
Algorithm 247: Radical-Inverse Quasi-Random Point Sequence,
Communications of the ACM,
Volume 7, Number 12, December 1964, pages 701-702.
John Hammersley,
Monte Carlo methods for solving multivariable problems,
Proceedings of the New York Academy of Science,
Volume 86, 1960, pages 844-874.
Richard Hamming,
Numerical Methods for Scientists and Engineers,
Dover, 1986,
ISBN: 0486652416,
LC: QA297.H28.
Duane Hanselman, Bruce Littlefield,
Mastering MATLAB 7,
Pearson Prentice Hall, 2005,
ISBN: 0-13-143018-1,
LC: QA297.H2963.
Eldon Hansen, Merrell Patrick,
A Family of Root Finding Methods,
Numerische Mathematik,
Volume 27, Number 3, September 1977, pages 257-269.
Per Hansen, Tony Chan,
FORTRAN Subroutines for General Toeplitz Systems,
ACM Transactions on Mathematical Software,
Volume 18, Number 3, September 1992, pages 256-273.
Kenneth Hanson,
Quasi-Monte Carlo: halftoning in high dimensions?,
in Computatinal Imaging,
Edited by Charles Bouman, Robert Stevenson,
Proceedings SPIE,
Volume 5016, 2003, pages 161-172,
ISBN: 0819448168,
LC: TA1632.C635.
Richard Hanson,
Least Squares with Bounds and Linear Constraints,
SIAM Journal of Scientific and Statistical Computing,
Volume 7, Number 3, July 1986, pages 826-834.
Frank Harary,
Graph Theory,
Addison Wesley, 1995,
ISBN: 0201410338,
LC: QA166.H37.
Samuel Harbison, Guy Steele,
C: A Reference Manual,
Third Edition,
Prentice Hall, 1991,
ISBN: 0-13-110933-2,
LC: QA76.73.C15H38.
Douglas Hardin, Edward Saff,
Discretizing Manifolds via Minimum Energy Points,
Notices of the AMS,
Volume 51, Number 10, November 2004, pages 1186-1194.
Ronald Hardin, Neil Sloane,
McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions,
Discrete and Computational Geometry,
Volume 15, 1996, pages 429-441.
Harry Harman,
Modern Factor Analysis,
Third Edition,
The University of Chicago Press, 1976,
ISBN: 0226316521,
LC: QA276.H38.
John Harris, Horst Stocker,
Handbook of Mathematics and Computational Science,
Springer, 1998,
ISBN: 0-387-94746-9,
LC: QA40.S76.
John Hart, Ward Cheney, Charles Lawson, Hans Maehly, Charles Mesztenyi, John Rice, Henry Thacher, Christoph Witzgall,
Computer Approximations,
Wiley, 1968,
LC: QA297.C64.
John Hartigan,
Clustering Algorithms,
Wiley, 1975,
ISBN: 0-471-35645-X,
LC: QA278.H36.
John Hartigan, Manchek Wong,
Algorithm AS 136: A K-Means Clustering Algorithm,
Applied Statistics,
Volume 28, Number 1, 1979, pages 100-108.
Ralph Hartley,
A More Symmetrical Fourier Analysis Applied to Transmission Problems,
Proceedings of the Institute of Radio Engineers,
Volume 30, 1942, pages 144-150.
Tore Havie,
On a Modification of the Clenshaw Curtis Quadrature Rule,
BIT,
Volume 9, Number 4, December 1969, pages 338-350.
Brian Hayes,
On the ups and downs of hailstone numbers,
Scientific American,
Volume 250, Number 1, January 1984, pages 10-16.
Brian Hayes,
The cellular automaton offers a model of the world and a world unto itself,
Scientific American,
Volume 250, Number 3, March 1984, pages 12-21.
Brian Hayes,
Crinkly curves,
American Scientist,
Volume 101, Number 3, May-June 2013, pages 178-183.
Brian Hayes,
The Easiest Hard Problem,
American Scientist,
Volume 90, Number 2, March-April 2002, pages 113-117.
Brian Hayes,
Fat Tails,
American Scientist,
Volume 95, Number 2, March-April 2007, pages 200-204.
Brian Hayes,
Flights of Fancy,
American Scientist,
Volume 99, Number 1, January-February 2011, pages 10-14.
Brian Hayes,
Follow the money,
American Scientist,
Volume 90, Number 5, September-October 2002, pages 400-405.
Brian Hayes,
Four Fifths = A Fifth,
http://bit-player.org/2014/four-fifths-a-fifth,
posted 03 December 2014.
Brian Hayes,
How To Avoid Yourself,
American Scientist,
Volume 86, Number 4, July-August 1998, pages 314-319.
Brian Hayes,
Quasirandom Ramblings,
American Scientist,
Volume 99, Number 4, July-August 2011, pages 282-287.
Brian Hayes,
Sorting out the genome,
American Scientist,
Volume 95, Number 5, September-October 2007, pages 386-391.
Brian Hayes,
Third Base,
American Scientist,
Volume 89, Number 6, November-December 2001, pages 490-494.
Brian Hayes,
Unwed Numbers,
American Scientist,
Volume 94, Number 1, January-February 2006, pages 12-15.
Brian Hayes,
The Vibonacci Numbers,
American Scientist,
Volume 87, Number 4, July-August 1999, pages 296-301.
Brian Hayes,
The wheel of fortune,
American Scientist,
Volume 81, Number 2, March-April 1993, pages 114-118.
Brian Hayes,
Why W?,
American Scientist,
Volume 93, Number 2, March-April 2005, pages 104-108.
Brian Hayes,
Writing Math on the Web,
American Scientist,
Volume 97, Number 2, March-April 2009, pages 98-102.
Michael Healy,
Algorithm AS 6: Triangular decomposition of a symmetric matrix,
Applied Statistics,
Volume 17, Number 2, 1968, pages 195-197.
Michael Healy,
Algorithm AS 7: Inversion of a Positive Semi-Definite Symmetric Matrix,
Applied Statistics,
Volume 17, Number 2, 1968, pages 198-199.
Michael Hebden,
An Algorithm for Minimization Using Exact Second Derivatives,
Technical Report: TP 515, Theoretical Physics Division,
AERE Harwell, 1973.
Frederic Hecht,
New development in FreeFem++,
Journal of Numerical Mathematics,
Volume 20, Number 3-4, 2012, pages 251-265.
Frederic Hecht,
BAMG: Bidimensional Anisotropic Mesh Generator,
draft version v1.00, December 2006.
Peter Heelekalek,
On Correlation Analysis of Pseudorandom Numbers, in Monte Carlo and Quasi-Monte Carlo Methods 1996,
edited by Harald Niederreiter, Peter Hellekalek, Gerhard Larcher, Peter Zinterhof,
Volume 127 of Lecture Notes in Statistics,
Springer, 1997,
ISBN: 038798335X,
LC: Q183.9.M67.
Peter Heelekalek, Harald Niederreiter,
The Weighted Spectral Test: Diaphony,
ACM Transactions on Modeling and Computer Simulation,
Volume 8, Number 1, January 1998, pages 43-60.
Peter Heelekalek, Hannes Leeb,
Dyadic Diaphony,
Acta Arithmetica,
Volume 80, Number 2, 1997, pages 187-196.
Markus Hegland, Jochen Garcke, Vivien Challis,
The combination technique and some generalisations,
Linear Algebra and its Applications,
Volume 420, Number 2-3, 2007, pages 249-275.
Florian Heiss, Viktor Winschel,
Likelihood approximation by numerical integration on sparse grids,
Journal of Econometrics,
Volume 144, Number 1, May 2008, pages 62-80.
Sandra Hempel,
The Strange Case of the Broad Street Pump,
University of California, 2007,
ISBN13: 978-0520250499,
LC: RA644.C3.H46.
Lofton Henderson, Anne Mumford,
The Computer Graphics Metafile,
Butterworths, 1990,
ISBN: 0408026804,
LC: T385.H46.
Paul Hennion,
Algorithm 77: Interpolation, Differentiation and Integration,
Communications of the ACM,
Volume 5, Number 2, February 1962, page 96.
Mark Herkommer,
Number Theory, A Programmer's Guide,
McGraw Hill, 1999,
ISBN: 0-07-913074-7.
John Herndon,
Algorithm 52: A Set of Test Matrices,
Communications of the ACM,
Volume 4, Number 4, April 1961, page 180.
Michael Heroux, Roscoe Bartlett, Vickie Howle, Robert Hoekstra, Jonathan Hu, Tamara Kolda, Richard Lehoucq, Kevin Long, Roger Pawlowski, Eric Phipps, Andrew Salinger, Heidi Thornquist, Ray Tuminaro, James Willenbring, Alan William, Kendall Stanley,
An overview of the Trilinos project,
ACM Transactions on Mathematical Software,
Volume 31, Number 3, September 2005, pages 397-423.
Alfa Heryudono, Elisabeth Larsson,
FEM-RBF: A geometrically flexible, efficient numerical solution technique for partial differential equations with mixed regularity,
Project FEMRBF Final Report,
Department of Information Technology, Uppsala University, 2012.
Kathie Hiebert,
A Comparison of Software Which Solves Systems of Nonlinear Equations,
Technical Report SAND-80-0181,
Sandia National Laboratory, 1980.
Des Higgins,
Sequence ordinations: a multivariate analysis approach to analysing large sequence data sets,
CABIOS,
Volume 8, 1992, pages 15-22.
Desmond Higham,
Black-Scholes for Scientific Computing Students,
Computing in Science and Engineering,
Volume 6, Number 6, November/December 2004, pages 72-79.
Desmond Higham,
An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations,
SIAM Review,
Volume 43, Number 3, September 2001, pages 525-546.
Desmond Higham, Nicholas Higham,
MATLAB Guide,
SIAM, 2005,
ISBN13: 9780898717891.
Nicholas Higham,
Algorithm 694: A Collection of Test Matrices in MATLAB,
ACM Transactions on Mathematical Software,
Volume 17, Number 3, September 1991, pages 289-305.
Nicholas Higham,
A survey of condition number estimation for triangular matrices,
SIAM Review,
Volume 29, Number 4, December 1987, pages 575-596.
Nicholas Higham,
Accuracy and Stability of Numerical Algorithms,
SIAM, 1996,
ISBN: 0898715210,
LC: QA297.H53.
Nicholas Higham,
Stability analysis of algorithms for solving confluent Vandermonde-like systems,
SIAM Journal on Matrix Analysis and Applications,
Volume 11, Number 1, January 1990, pages 23-41.
Nicholas Higham, Desmond Higham,
Large growth factors in Gaussian elimination with pivoting,
SIAM Journal on Matrix Analysis and Applications,
Volume 10, Number 2, April 1989, pages 155-164.
Francis Hildebrand,
Introduction to Numerical Analysis,
Dover, 1987,
ISBN13: 978-0486653631,
LC: QA300.H5.
David Hill,
Algorithm AS 66: The Normal Integral,
Applied Statistics,
Volume 22, Number 3, 1973, pages 424-427.
Geoffrey Hill,
Algorithm 518: Incomplete Bessel Function I0: The Von Mises Distribution,
ACM Transactions on Mathematical Software,
Volume 3, Number 3, September 1977, pages 279-284.
Geoffrey Hill,
Algorithm 571: Statistics for von Mises's and Fisher's Distributions of Directions, I1(x)/I0(x), I1.5(x)/I0.5(x), and Their Inverses,
ACM Transactions on Mathematical Software,
Volume 7, Number 2, June 1981, pages 233-238.
Ted Hill,
The First Digit Phenomenon,
American Scientist,
Volume 86, Number 4, July/August 1998, pages 358-363.
Frederick Hillier,
Efficient heuristic procedure for integer linear programming with an interior,
Operations Research,
Volume 17, 1969, pages 600-637.
David Himmelblau,
Applied Nonlinear Programming,
McGraw Hill, 1972,
ISBN13: 978-0070289215,
LC: T57.8.H55.
Alan Hindmarsh,
ODEPACK, a Systematized Collection of ODE Solvers,
in Scientific Computing,
edited by Robert Stepleman,
Elsevier, 1983,
ISBN13: 978-0444866073,
LC: Q172.S35.
Dorit Hochbaum, David Shmoys,
A best possible heuristic for the K-center problem,
Mathematics of Operations Research,
Volume 10, 1985, pages 180-184.
Roger Hockney,
A fast direct solution of Poisson's equation using Fourier Analysis,
Journal of the ACM,
Volume 12, Number 1, pages 95-113, January 1965.
Forrest Hoffman,
Message Passing with MPI and PVM,
LINUX Magazine,
Volume 4, Number 4, April 2002, pages 38-41, 63.
Karla Hoffman, Douglas Shier,
Algorithm 564: A Test Problem Generator for Discrete Linear L1 Approximation Problems,
ACM Transactions on Mathematical Software,
Volume 6, Number 4, December 1980, pages 615-617.
Douglas Hofstadter,
Goedel, Escher, Bach,
Basic Books, 1979,
ISBN: 0465026567,
LC: QA9.8H63.
John Holte,
Carries, Combinatorics, and an Amazing Matrix,
The American Mathematical Monthly,
Volume 104, Number 2, February 1997, pages 138-149.
Greg Hood, John Burkardt, Greg Foss,
Visualizing the Visual System,
Neurocomputing,
Volume 32-33(1-4), 2000, pages 801-808.
Robert Hooke, Terry Jeeves,
Direct Search Solution of Numerical and Statistical Problems,
Journal of the ACM,
Volume 8, Number 2, April 1961, pages 212-229.
Roger Horn, Charles Johnson,
Matrix Analysis,
Cambridge, 1985,
ISBN: 0-521-38632-2,
LC: QA188.H66.
Alston Householder, John Carpenter,
The singular values of involutory and of idempotent matrices,
Numerische Mathematik,
Volume 5, Number 1, December 1963, pages 234-237.
John Howell,
Algorithm 359: Factorial Analysis of Variance,
Communications of the ACM,
Volume 12, Number 11, November 1969, page 631.
Lawrence Huber, Jacqueline Meulman, Willem Heiser,
Two Purposes for Matrix Factorization: A Historical Appraisal,
SIAM Review,
Volume 41, Number 1, March 1999, pages 68-82.
David Huddleston,
Development of a Free-Jet Forebody Simulator Design Optimization Method,
Technical Report: AEDC-TR-90-22,
Arnold Engineering Development Center,
Arnold AFB, December 1990.
Thomas Hull, Wayne Enright, BM Fellen, Arthur Sedgwick,
Comparing numerical methods for ordinary differential equations,
SIAM Journal on Numerical Analysis,
Volume 9, Number 4, December 1972, pages 603-637.
D B Hunter, H V Smith,
A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function,
Journal of Computational and Applied Mathematics,
Volume 177, 2005, pages 389-400.
Rex Hurst, Robert Knop,
Algorithm 425: Generation of Random Correlated Normal Variables,
Communications of the ACM,
Volume 15, Number 5, May 1972, pages 355-357.
Philippe Huybrechts, Tony Payne,
The EISMINT benchmarks for testing ice-sheet models,
Annals of Glaciology,
Volume 23, 1996, pages 1-14.
Oscar Ibarra, Chul Kim,
Fast approximation algorithms for the knapsack and sum of subset problems,
Journal of the ACM,
Volume 22, Number 4, October 1975, pages 463-468.
IEEE Standards Committee 754,
IEEE Standard for Binary Floating Point Arithmetic,
ANSI/IEEE Standard 754-1985,
SIGPLAN Notices,
Volume 22, Number 2, 1987, pages 9-25.
Intel Corporation,
Intel FORTRAN Language Reference,
Constructive Approximation,
Volume 2, Number 1, December 1986, pages 129-151.
International Electrotechnical Commission,
The sRGB standard,
Standard IEC 61966-2-1, 1999.
Larry Irvine, Samuel Marin, Philip Smith,
Constrained Interpolation and Smoothing,
Constructive Approximation,
Volume 2, Number 1, December 1986, pages 129-151.
Claude Itzykson, Jean-Michel Drouffe,
Statistical Field Theory,
Volume 1,
Cambridge, 1991,
ISBN: 0-521-40806-7,
LC: QC174.8.I89.
Eastman Jacobs, Kenneth Ward, Robert Pinkerton,
The characteristics of 78 related airfoil sections from tests in the variable-density wind tunnel,
NACA Report 460, 1933.
Doug Jacobsen, Max Gunzburger, Todd Ringler, John Burkardt, Janet Peterson,
Parallel Algorithm for Spherical Delaunay Triangulations and Spherical Centroidal Voronoi Tessellations,
Geosciences Model Development,
Volume 6, pages 1353-1365, 2013.
Joseph Jaja,
A Perspective on Quicksort,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 43-49.
Philipp Janert,
Gnuplot in Action: Understanding Data with Graphs,
Manning, 2010,
ISBN13: 978-1-933988-39-8,
LC: QA276.4.J37.
P Jarratt,
Some fourth-order multipoint iterative methods for solving equations,
Mathematics of Computation,
Volume 20, Number 95, July 1966, pages 434-437.
Pitts Jarvis,
Implementing CORDIC Algorithms,
Dr. Dobb's Journal,
October 1990.
Gwilym Jenkins, Donald Watts,
Spectral Analysis and its Applications,
Holden-Day, 1968,
ISBN: 1892803038,
LC: QA280.J45.
Michael Jenkins,
Algorithm 493: Zeros of a Real Polynomial,
ACM Transactions on Mathematical Software,
Volume 1, Number 2, June 1975, pages 178-189.
Michael Jenkins, Joseph Traub,
Algorithm 419: Zeros of a Complex Polynomial,
Communications of the Association for Computing Machinery,
Volume 15, Number 2, February 1972, pages 97-99.
Barry Joe,
GEOMPACK - a software package for the generation of meshes using geometric algorithms,
Advances in Engineering Software,
Volume 13, Number 5, 1991, pages 325-331.
Stephen Joe, Frances Kuo,
Remark on Algorithm 659: Implementing Sobol's Quasirandom Sequence Generator,
ACM Transactions on Mathematical Software,
Volume 29, Number 1, March 2003, pages 49-57.
Volker John,
Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder,
International Journal for Numerical Methods in Fluids,
Volume 44, 2004, pages 777-788.
Johnson,
Quarterly Journal of Mathematics,
Volume 46, Number 52, 1915.
Claes Johnson, Jukka Saranen,
Streamline diffusion methods for the incompressible Euler and Navier-Stokes Equations,
Mathematics of Computation,
Volume 47, Number 175, pages 1-18, July 1986.
Mark Johnson,
Multivariate Statistical Simulation: A Guide to Selecting and Generating Continuous Multivariate Distributions,
Wiley, 1987,
ISBN: 0471822906,
LC: QA278.J62.
Norman Johnson, Samuel Kotz, Narayanaswamy Balakrishnan,
Continuous Univariate Distributions,
Second edition,
Wiley, 1994,
ISBN: 0471584940,
LC: QA273.6.J6.
Norman Johnson, Samuel Kotz, Adrienne Kemp,
Univariate Discrete Distributions,
Third edition,
Wiley, 2005,
ISBN: 0471272469,
LC: QA273.6.J64.
Steven Johnson,
The Ghost Map,
Riverhead, 2006,
ISBN-13: 978-1594489259,
LC: RC133.G6.J64.
Ron Jones, David Kahaner,
XERROR, The SLATEC Error Handling Package,
Technical Report SAND82-0800,
Sandia National Laboratories, 1982.
Ron Jones, David Kahaner,
XERROR, The SLATEC Error Handling Package,
Software: Practice and Experience,
Volume 13, Number 3, 1983, pages 251-257.
Kenneth Joy,
"Bernstein Polynomials",
On-Line Geometric Modeling Notes,
idav.ucdavis.edu/education/CAGDNotes/Bernstein-Polynomials.pdf
Lili Ju,
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation,
International Journal of Numerical Analysis and Modeling,
Volume 4, Number 3-4, 2007, pages 531-547.
Lili Ju, Qiang Du, Max Gunzburger,
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations,
Parallel Computing,
Volume 28, Number 10, October 2002, pages 1477-1500.
Deane Judd, Gunter Wyszecki,
Color in Business, Science, and Industry,
Wiley, 1975,
ISBN: 0471452122,
LC: QC495.J79.
Erik Kaasschieter,
The solution of non-symmetric linear systems by bi-conjugate gradients or conjugate gradients squared,
Technical Report 86-21,
Delft University of Technology Report, 1986.
Voratas Kachitvichyanukul, Bruce Schmeiser,
Binomial random variate generation,
Communications of the ACM,
Volume 31, Number 2, February 1988, pages 216-222.
William Kahan,
Numerical Linear Algebra,
Canadian Mathematical Bulletin,
Volume 9, 1966, pages 757-801.
David Kahaner,
Comparison of Numerical Quadrature Formulas,
in Mathematical Software,
edited by John Rice,
Academic Press, 1971,
ISBN: 012587250X,
LC: QA1.M766.
David Kahaner, Cleve Moler, Steven Nash,
Numerical Methods and Software,
Prentice Hall, 1989,
ISBN: 0-13-627258-4,
LC: TA345.K34.
Eurika Kaiser, Bernd Noack, Laurent Cordier, Andreas Spohn, Marc Segond, Markus Abel, Guillaume Daviller, Robert Niven,
Cluster-based reduced-order modelling of a mixing layer,
Submitted to Journal of Fluid Mechanics.
Masanobu Kaneko,
Poly-Bernoulli Numbers,
Journal Theorie des Nombres Bordeaux,
Volume 9, Number 1, 1997, pages 221-228.
Sharad Kapur, Vladimir Rokhlin,
High-order corrected trapezoidal quadrature rules for singular functions,
SIAM Journal on Numerical Analysis,
Volume 34, Number 4, pages 1331-1356, 1997.
Ohannes Karakashian,
On a Galerkin-Lagrange Multiplier Method for the Stationary Navier-Stokes Equations,
SIAM Journal on Numerical Analysis,
Volume 19, Number 5, October 1982, pages 909-923.
Sam Karlin,
Total Positivity, Volume 1,
Stanford University Press, 1968,
ISBN: 0804703140,
LC: QA355.K33.
Richard Karpinski,
Paranoia: A floating-point benchmark,
Byte Magazine,
Volume 10, Number 2, February 1985, pages 223-235.
George Karypis, Vipin Kumar,
A fast and high quality multilevel scheme for partitioning irregular graphs,
SIAM Journal on Scientific Computing,
Volume 20, Number 1, January 1998, pages 359-392;
Jeremy Kasdin,
Discrete Simulation of Colored Noise and Stochastic Processes and 1/f^a Power Law Noise Generation,
Proceedings of the IEEE,
Volume 83, Number 5, 1995, pages 802-827.
Jeremy Kasdin,
Runge-Kutta algorithm for the numerical integration of stochastic differential equations,
Journal of Guidance, Control, and Dynamics,
Volume 18, Number 1, January-February 1995, pages 114-120.
Arthur Kaupe,
Algorithm 178: Direct Search,
Communications of the ACM,
Volume 6, Number 6, June 1963, page 313.
Jaroslav Kautsky, Sylvan Elhay,
Calculation of the Weights of Interpolatory Quadratures,
Numerische Mathematik,
Volume 40, Number 3, October 1982, pages 407-422.
David Kay, John Levine,
Graphics File Formats,
Second Edition,
McGraw Hill, 1995,
ISBN: 0-07-034025-0,
LC: T385.K376.
Richard Kaye,
Minesweeper is NP Complete,
Mathematical Intelligencer,
Volume 22, Number 2, pages 9-15, 2000.
Patrick Keast,
Moderate Degree Tetrahedral Quadrature Formulas,
Computer Methods in Applied Mechanics and Engineering,
Volume 55, Number 3, May 1986, pages 339-348.
James Keener,
The Perron-Frobenius Theorem and the Ranking of Football Teams,
SIAM Review,
Volume 35, Number 1, March 1993, pages 80-93.
Fritz Keinert,
Mathematics Department,
Iowa State University,
Calling FORTRAN Subroutines from Fortran, C and C++.
Bradley Keister,
Multidimensional Quadrature Algorithms,
Computers in Physics,
Volume 10, Number 2, March/April, 1996, pages 119-122.
Herbert Keller,
Numerical Methods for Two-point Boundary Value Problems,
Dover, 1992,
ISBN: 0486669254,
LC: QA372.K42.
Tim Kelley,
Iterative Methods for Linear and Nonlinear Equations,
SIAM, 2004,
ISBN: 0898713528,
LC: QA297.8.K45.
Renate Kempf, Chris Frazier, editors,
OpenGL Reference Manual,
Fourth Edition,
Addison-Wesley, 2004,
ISBN: 032117383X,
LC: T385.O642.
William Kennedy, James Gentle,
Statistical Computing,
Marcel Dekker, 1980,
ISBN: 0824768981,
LC: QA276.4.K46.
Charles Kenney, Alan Laub,
Controllability and stability radii for companion form systems,
Mathematics of Control, Signals and Systems,
Volume 1, 1988, pages 239-256.
Jeremy Kepner,
Parallel MATLAB for Multicore and Multinode Computers,
SIAM, 2009,
ISBN13: 978-0-898716-73-3,
LC: QA76.58.K46.
Brian Kernighan, Shen Lin,
An efficient heuristic procedure for partitioning graphs,
Bell System Technical Journal,
Volume 49, 1970, pages 291-307.
Brian Kernighan, Shen Lin,
Heuristic solution of a signal design optimization problem,
Bell System Technical Journal,
Volume 52, 1973, pages 1145-1159.
Brian Kernighan, Phillip Plauger,
The Elements of Programming Style,
McGraw Hill, 1982,
ISBN: 0070342075,
LC: QA76.6.K47.
Brian Kernighan, Phillip Plauger,
Software tools,
Addison-Wesley, 1976,
ISBN13: 978-0201036695,
LC: QA76.6.K49.
Brian Kernighan, Dennis Ritchie,
The C Programming Language,
Second Edition,
Prentice Hall, 1988,
ISBN: 0-13-110362-8,
LC: QA76.73C15.K47.
David Kershaw,
The Incomplete Cholesky-Conjugate Gradient Method for the Iterative Solution of Systems of Linear Equations,
Journal of Computational Physics,
Volume 26, Number 1, January 1978, pages 43-65.
Tim Kientzle,
Internet File Formats,
Coriolus Group Books, 1995,
ISBN: 188357756X,
LC: QA76.9.F5.K54.
Jacek Kierzenka, Lawrence Shampine,,
A BVP Solver Based on Residual Control and the Matlab PSE,
ACM Transactions on Mathematical Software,
Volume 27, Number 3, September 2001, pages 299-316.
Noboru Kikuchi,
Finite element methods in mechanics,
Cambridge University Press, 1986,
ISBN: 0521339723,
LC: TA347.F5.K55.
Marc Kilgour, Steven Brams,
The Truel,
Mathematics Magazine,
Volume 70, Number 5, December 1997, pages 315-326.
Emrah Kilic, Pantelimon Stanica,
The Lehmer matrix and its recursive analogue,
Journal of Combinatorial Mathematics and Combinatorial Computing,
Volume 74, August 2010, pages 193-205.
David Kincaid, Thomas Oppe, John Respess, David Young,
ITPACKV 2C User's Guide,
Technical Report CNA-191,
Center for Numerical Analysis,
University of Texas at Austin, 1984.
Richard King,
A family of fourth order methods,
SIAM Journal on Numerical Analysis,
Volume 10, Number 5, October 1973, pages 876-879.
Richard King,
Improving the van de Vel root-finding method,
Computing,
Volume 30, Number 4, December 1983, pages 373-378.
Virginia Klema, Alan Laub,
The Singular Value Decomposition: Its Computation and Some Applications,
IEEE Transactions on Automatic Control,
Volume 25, Number 2, April 1980.
Andreas Klimke, Barbara Wohlmuth,
Algorithm 847: SPINTERP: Piecewise Multilinear Hierarchical Sparse Grid Interpolation in MATLAB,
ACM Transactions on Mathematical Software,
Volume 31, Number 4, December 2005, pages 561-579.
Matthew Knepley, Andy Terrel,
Finite Element Integration on GPUs,
ACM Transactions on Mathematical Software,
Volume 39, Number 2, Article 10, February 2013.
Robert Knop,
Algorithm 441: Random Deviates from the Dipole Distribution,
ACM Transactions on Mathematical Software,
Volume 16, Number 1, January 1973, page 51.
Donald Knuth,
The Art of Computer Programming,
Volume 1, Fundamental Algorithms,
Third Edition,
Addison-Wesley, 1997,
ISBN: 0201896834,
LC: QA76.6.K64.
Donald Knuth,
The Art of Computer Programming,
Volume 2, Seminumerical Algorithms,
Third Edition,
Addison Wesley, 1997,
ISBN: 0201896842,
LC: QA76.6.K64.
Donald Knuth,
The Art of Computer Programming,
Volume 3, Sorting and Searching,
Second Edition,
Addison Wesley, 1998,
ISBN: 0201896850,
LC: QA76.6.K64.
Donald Knuth,
The Calculation of Easter,
Communications of the ACM,
Volume 5, Number 4, April 1962, pages 209-210.
Donald Knuth,
The Stanford Graph Base: A Platform for Combinatorial Computing,
ACM Press, 1993,
ISBN: 0201542757,
LC: QA164.K6.
Ladislav Kocis, William Whiten,
Computational Investigations of Low-Discrepancy Sequences,
ACM Transactions on Mathematical Software,
Volume 23, Number 2, June 1997, pages 266-294.
Tamara Kolda, Robert Michael Lewis, Virginia Torczon,
Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods,
SIAM Review,
Volume 45, Number 3, 2003, pages 385-482.
Zdenek Kopal,
Numerical Analysis,
John Wiley, 1955,
LC: QA297.K6.
Lawrence Kou, George Markowsky, Leonard Berman,
A fast algorithm for Steiner trees,
Technical Report RC 7390,
IBM Thomas J Watson Research Center, 1978.
Maurice Kraitchik,
Mathematical Recreations,
Norton, 1942,
LC: QA95.K72.
Donald Kreher, Douglas Simpson,
Combinatorial Algorithms,
CRC Press, 1998,
ISBN: 0-8493-3988-X,
LC: QA164.K73.
Kalimutha Krishnamoorthy,
Handbook of Statistical Distributions with Applications,
Chapman and Hall, 2006,
ISBN: 1-58488-635-8,
LC: QA273.6.K75.
Fred Krogh, Van Snyder,
Algorithm 699: a new representation of Patterson's quadrature formula,
ACM Transactions on Mathematical Software,
Volume 17, Number 4, December 1991, pages 457-461.
Arnold Krommer, Christoph Ueberhuber,
Numerical Integration on Advanced Computer Systems,
Springer, 1994,
ISBN: 3540584102,
LC: QA299.3.K76.
Vladimir Krylov,
Approximate Calculation of Integrals,
Dover, 2006,
ISBN: 0486445798,
LC: QA311.K713.
Milan Kubicek,
Algorithm 470: Linear Systems with Almost Tridiagonal Matrix,
Communications of the ACM,
Volume 16, Number 12, December 1973, pages 760-761.
Milan Kubicek,
Algorithm 502: Dependence of solution of nonlinear systems on a parameter,
ACM Transactions on Mathematical Software,
Volume 2, Number 1, March 1976, pages 98-107.
Robert Kubik,
Algorithm 257: Havie Integrator,
Communications of the ACM,
Volume 8, Number 6, June 1965, page 381.
Henry Kucera, Winthrop Francis,
Computational Analysis of Present-Day American English,
Brown University Press, 1967,
ISBN13: 978-0870571053,
LC: PE2839.K8.
Raul Kuczmarksi, CL Ogden, SS Guo,
2000 CDC Growth Charts for the United States: Methods and Development,
National Center for Health Statistics,
Vital and Health Statistics, Series 11, Number 246, May 2002,
ISBN: 0-8406-0575-7,
LC: GN63.A225.

Ulrich Kulisch, Christian Ullrich, Editors,
Wissenschaftliches Rechnen und Programmiersprachen,
(Scientific Computing and Programming Languages),
Berichte des German Chapter of the ACM,
(Reports of the German Chapter of the ACM),
Volume 10, Teubner Verlag, 1982.
Olof Kylander, Karin Kylander,
GIMP: The Official Handbook,
Coriolis Open Press, 1999,
ISBN: 1576105202,
LC: T385.K866.
Prem Kythe, Pratap Puri,
Computational Methods for Linear Integral Equations,
Birkhaeuser, 2002,
ISBN: 0817641920,
LC: QA431.K97.
Prem Kythe, Michael Schaeferkotter,
Handbook of Computational Methods for Integration,
Chapman and Hall, 2004,
ISBN: 1-58488-428-2,
LC: QA299.3.K98.
Michael Labrosse, Carsten Beller, Munir Boodhwani, Christopher Hudson, Benjamin Sohmer,
Subject-specific finite element modeling of normal aortic valve biomechanics from 3D+t TEE images,
Medical Image Analysis,
Volume 20, 2015, pages 162-172.
Jeffrey Lagarias, James Reeds, Margaret Wright, Paul Wright,
Convergence properties of the Nelder-Mead simplex method in low dimensions,
SIAM Journal on Optimization,
Volume 9, Number 1, 1998, pages 112-147.
John Lambert,
Quasi-Random Sequences for Optimization and Numerical Integration,
in Numerical Integration,
edited by Patrick Keast, Graeme Fairweather,
D Reidel, 1987, pages 193-203,
ISBN: 9027725144,
LC: QA299.3.N38.
Henry Lancaster,
The Helmert Matrices,
American Mathematical Monthly,
Volume 72, Number 1, January 1965, pages 4-12.
Cornelius Lanczos,
A precision approximation of the gamma function,
SIAM Journal on Numerical Analysis, B,
Volume 1, 1964, pages 86-96.
Rubin Landau,
A First Course in Scientific Computing: Symbolic, Graphic and Numeric Modeling using Maple, Java, Mathematica and Fortran90,
Princeton, 2005,
ISBN: 0691121834,
LC: QA183.9.L36.
L J Lander, T R Parkin,
Counterexample to Euler's conjecture on sums of like powers,
Bulletin of the American Mathematical Society,
Volume 72, Number 6, page 1079, November 1966.
Kenneth Lange,
Mathematical and Statistical Methods for Genetic Analysis,
Springer, 1997,
ISBN: 0387953892,
LC: QH438.4.M33.L36.
Hans Petter Langtangen,
A primer on scientific programming with Python,
Springer, 2012,
ISBN13: 978-3-642-30293-0.
Leon Lapidus, John Seinfeld,
Numerical Solution of Ordinary Differential Equations,
Mathematics in Science and Engineering, Volume 74,
Academic Press, 1971,
ISBN: 0124366503,
LC: QA3.M32.v74.
FM Larkin,
Root Finding by Divided Differences,
Numerische Mathematik,
Volume 37, Number 1, February 1981, pages 93-104.
Lance Latham,
Standard C Date/Time Library: Programming the World's Calendars and Clocks,
Miller Freeman, 1998,
ISBN: 0-87930-496-0.
Jean Lasserre, Konstantin Avrachenkov,
The multidimensional version of the integral from A to B of X to the P,
American Mathematics Monthly,
Volume 108, Number 2, 2001, pages 151-154.
Chi Leung Lau,
Algorithm AS 147: A Simple Series for the Incomplete Gamma Integral,
Applied Statistics,
Volume 29, Number 1, 1980, pages 113-114.
Hang Tong Lau,
Algorithms on Graphs,
Tab Books, 1989,
ISBN: 0830634290,
LC: QA166.L38.
Hang Tong Lau,
Combinatorial Heuristic Algorithms with FORTRAN,
Springer, 1986,
ISBN: 3540171614,
LC: QA402.5.L37.
Alan Laub,
Review of "Linear System Theory" by Joao Hespanha,
SIAM Review,
Volume 52, Number 4, December 2010, page 779-781.
Peter Lauchli,
Jordan-Elimination und Ausgleichung nach kleinsten Quadraten,
(Jordan elimination and smoothing by least squares),
Numerische Mathematik,
Volume 3, Number 1, December 1961, pages 226-240.
Dirk Laurie,
Algorithm 584: CUBTRI, Automatic Cubature Over a Triangle,
ACM Transactions on Mathematical Software,
Volume 8, Number 2, 1982, pages 210-218.
Piers Lawrence, Robert Corless, David Jeffrey,
Algorithm 917: Complex Double-Precision Evaluation of the Wright Omega Function,
ACM Transactions on Mathematical Software,
Volume 38, Number 3, Article 20, April 2012, 17 pages.
Charles Lawson, Richard Hanson,
Solving Least Squares Problems,
SIAM, 1995,
ISBN: 0898713560,
LC: QA275.L38.
Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,
Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage,
ACM Transactions on Mathematical Software,
Volume 5, Number 3, September 1979, pages 308-323.
William Layton,
A two-level discretization method for the Navier-Stokes equations,
Computers and Mathematics with Applications,
Volume 26, Number 2, July 1993, pages 33-38.
William Layton,
A nonlinear subgrid scale model for incompressible viscous flow problems,
SIAM Journal on Scientific and Statistical Computing,
Volume 17, Number 2, March 1996, pages 347-357.
Vyacheslav Lebedev, Dmitri Laikov,
A quadrature formula for the sphere of the 131st algebraic order of accuracy,
Russian Academy of Sciences Doklady Mathematics,
Volume 59, Number 3, 1999, pages 477-481.
Vyacheslav Lebedev,
A quadrature formula for the sphere of 59th algebraic order of accuracy,
Russian Academy of Sciences Doklady Mathematics,
Volume 50, 1995, pages 283-286.
Vyacheslav Lebedev, A.L. Skorokhodov,
Quadrature formulas of orders 41, 47, and 53 for the sphere,
Russian Academy of Sciences Doklady Mathematics,
Volume 45, 1992, pages 587-592.
Vyacheslav Lebedev,
Spherical quadrature formulas exact to orders 25-29,
Siberian Mathematical Journal,
Volume 18, 1977, pages 99-107.
Vyacheslav Lebedev,
Quadratures on a sphere,
Computational Mathematics and Mathematical Physics,
Volume 16, 1976, pages 10-24.
Vyacheslav Lebedev,
Values of the nodes and weights of ninth to seventeenth order Gauss-Markov quadrature formulae invariant under the octahedron group with inversion,
Computational Mathematics and Mathematical Physics,
Volume 15, 1975, pages 44-51.
Pierre LEcuyer,
Efficient and Portable Combined Random Number Generators,
Communications of the ACM,
Volume 31, Number 6, June 1988, pages 742-751.
Pierre LEcuyer, Serge Cote,
Implementing a Random Number Package with Splitting Facilities,
ACM Transactions on Mathematical Software,
Volume 17, Number 1, March 1991, pages 98-111.
Pierre LEcuyer,
Random Number Generation,
in Handbook of Simulation,
edited by Jerry Banks,
Wiley, 1998,
ISBN: 0471134031,
LC: T57.62.H37.
ETY Lee,
Choosing Nodes in Parametric Curve Interpolation,
Computer-Aided Design,
Volume 21, Number 6, July/August 1989, pages 363-370.
Jon Lee,
Hoffman's Circle Untangled,
SIAM Review,
Volume 39, Number 1, March 1997, pages 98-105.
Didier LeGall,
MPEG: A Video Compression Standard for Multimedia Applications,
Communications of the ACM,
Volume 34, Number 4, April 1991, pages 46-58.
Richard Lehoucq, Danny Sorensen, Chao Yang,
ARPACK User's Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods,
SIAM, 1998,
ISBN13: 978-0898714074,
LC: QA193.L44.
Wim Lenferink, Marc Spijker,
On the use of stability regions in the numerical analysis of initial value problems,
Mathematics of Computation,
Volume 57, Number 195, July 1991, pages 221-237.
Russell Lenth,
Algorithm AS 226: Computing Noncentral Beta Probabilities,
Applied Statistics,
Volume 36, Number 2, 1987, pages 241-244.
Russell Lenth,
Algorithm AS 243: Cumulative Distribution Function of the Non-Central T Distribution,
Applied Statistics,
Volume 38, Number 1, 1989, pages 185-189.
Alberto Leon,
A Comparison of Eight Known Optimizing Procedures,
in Recent Advances in Optimization Techniques,
edited by Abraham Lavi, Thomas Vogl,
Wiley, 1966,
LC: QA402.5.S93.
Philip Leong, Guanglie Zhang, Dong-U Lee, Wayne Luk, John Villasenor,
A comment on the implementation of the ziggurat method,
Journal of Statistical Software,
Volume 12, Number 7, February 2005.
Frank Lether,
A Generalized Product Rule for the Circle,
SIAM Journal on Numerical Analysis,
Volume 8, Number 2, June 1971, pages 249-253.
Randy LeVeque,
Finite Volume Methods for Hyperbolic Problems,
Cambridge University Press, 2002,
ISBN: 0-521-00924-3,
LC: QA377.L41566.
David Levine,
Algorithm 344: Student's T-Distribution,
Communications of the ACM,
Volume 11, Number 1, January 1969, pages 37-38.
Howard Levine, Brian Sleeman, Marit Nilsen-Hamilton,
Mathematical Modeling of the onset of capillary formation initiating angiogenesis,
Journal of Mathematical Biology,
Volume 41, 2001, pages 195-238.
Robert Lewand,
Cryptological Mathematics,
Mathematics Association of America, 2000,
ISBN13: 978-0883857199
Cass Lewart,
Algorithm 463: Algorithms SCALE1, SCALE2 and SCALE3 for Determination of Scales for Computer Generated Plots,
Communications of the ACM,
Volume 16, Number 10, October 1973, pages 639-640.
John Lewis,
Algorithm 582: The Gibbs-Poole-Stockmeyer and Gibbs-King Algorithms for Reordering Sparse Matrices,
ACM Transactions on Mathematical Software,
Volume 8, Number 2, June 1982, pages 190-194.
Peter Lewis, Allen Goodman, James Miller,
A Pseudo-Random Number Generator for the System/360,
IBM Systems Journal,
Volume 8, Number 2, 1969, pages 136-143.
Xiaoye Li, Meiyu Shao,
A supernodal approach to incomplete LU factorization with partial pivoting,
ACM Transactions on Mathematical Software,
Volume 37, Number 4, Article 43, February 2011.
Rudolf Lidl, Harald Niederreiter,
Finite Fields,
Second Edition,
Cambridge University Press, 1997,
ISBN: 0521392314,
LC: QA247.3.L53.
M Lietzke, Raymond Stoughton, Marjorie Lietzke,
A Comparison of Several Method for Inverting Large Symmetric Positive Definite Matrices,
Mathematics of Computation
Volume 18, Number 87, pages 449-456.
George Lindfield, John Penny,
Numerical Methods Using MATLAB,
Second Edition,
Prentice Hall, 1999,
ISBN: 0-13-012641-1,
LC: QA297.P45.
Peter Linz,
Algorithm 427: Fourier Cosine Integral,
Communications of the ACM,
Volume 15, Number 5, May 1972, pages 358-360.
Anwei Liu, Barry Joe,
Quality Local Refinement of Tetrahedral Meshes Based on 8-Subtetrahedron Subdivision,
Mathematics of Computation,
Volume 65, Number 215, July 1996, pages 1183-1200.
CN Liu, DT Tang,
Algorithm 452: Enumerating Combinations of M out of N Objects,
Communications of the ACM,
Volume 16, Number 8, August 1973, page 485.
Anders Logg, Garth Wells,
DOLFIN: Automated finite element computing,
ACM Transactions on Mathematical Software,
Volume 37, Number 2, Article 20, April 2010.
Anders Logg, Kent-Andre Mardal, Garth Wells,
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book,
Lecture Notes in Computational Science and Engineering,
Springer, 2011,
ISBN13: 978-3642230981,
LC:
Edward Lorenz,
Deterministic Nonperiodic Flow,
Journal of the Atmospheric Sciences,
Volume 20, Number 2, 1963, pages 130-141.
Alfred Lotka,
The frequency distribution of scientific productivity,
Journal of the Washington Academy of Sciences,
Volume 16, Number 12, 1926, pages 317-324.
Max Lotkin,
A set of test matrices,
Mathematics Tables and Other Aids to Computation,
Volume 9, 1955, pages 153-161.
Oliver Ludwig,
Algorithm 179: Incomplete Beta Ratio,
Communications of the ACM,
Volume 6, Number 6, June 1963, page 314.
Yudell Leo Luke,
The Special Functions and Their Approximations,
Volumes 1 and 2,
Mathematics in Science and Engineering, Volume 53,
Academic Press, 1969,
LC: QA3.M32, v53.
Richard Lund,
Algorithm AS 152: Cumulative hypergeometric probabilities,
Applied Statistics,
Volume 29, Number 2, 1980, pages 221-223.
Irvin Lustig,
An Analysis of an Available Set of Linear Programming Test Problems,
Computers and Operations Research,
Volume 16, Number 2, 1989, pages 173-184.
Peter Lynch,
The Emergence of Numerical Weather Prediction: Richardson's Dream,
Cambridge University Press, 2006,
ISBN: 978-0521857291,
LC: QC995.L93.
James Lyness,
Algorithm 379: SQUANK (Simpson Quadrature Used Adaptively - Noise Killed),
Communications of the ACM,
Volume 13, Number 4, April 1970, pages 260-263.
James Lyness,
Symmetric Integration Rules for Hypercubes I: Error Coefficients,
Mathematics of Computation,
Volume 19, Number 90, 1965, pages 260-276.
James Lyness,
Symmetric Integration Rules for Hypercubes II: Rule Projection and Rule Extension,
Mathematics of Computation,
Volume 19, Number 91, 1965, pages 394-407.
James Lyness, Dennis Jespersen,
Moderate Degree Symmetric Quadrature Rules for the Triangle,
Journal of the Institute of Mathematics and its Applications,
Volume 15, Number 1, February 1975, pages 19-32.
James Lyness, BJJ McHugh,
Integration Over Multidimensional Hypercubes, A Progressive Procedure,
The Computer Journal,
Volume 6, 1963, pages 264-270.
Xiang Ma, Nicholas Zabaras,
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations,
Journal of Computational Physics,
Volume 228, pages 3084-3113, 2009.
John MacCormick,
Nine Algorithms That Changed the Future: The Ingenious Ideas that Drive Today's Computers,
Princeton University Press, 2012,
ISBN-13: 978-0691158198.
Marek Machura, Andrzej Mulawa,
Algorithm 450: Rosenbrock Function Minimization,
Communications of the ACM,
Volume 16, Number 8, August 1973, pages 482-483.
Richard Macki, Aaron Strauss,
Introduction to Optimal Control Theory,
Springer, 1982,
ISBN: 038790624X,
LC: QA402.3.M317.
Roman Maeder,
Programming in Mathematica,
Second Edition,
Addison Wesley, 1991,
ISBN: 0-201-51002-2,
LC: Q183.9.M34.
Gerhard Maess,
Vorlesungen ueber Numerische Mathematik II, Analysis,
Berlin, Akademie_Verlag, 1984-1988,
ISBN: 978-3764318840,
LC: QA297.M325.
KL Majumder, GP Bhattacharjee,
Algorithm AS 63: The incomplete Beta Integral,
Applied Statistics,
Volume 22, Number 3, 1973, pages 409-411.
Michael Malcolm,
Algorithms to Reveal Properties of Floating Point Arithmetic,
Communications of the ACM,
Volume 15, Number 11, November 1972, pages 949-951.
Tom Manteuffel,
An Incomplete Factorization Technique for Positive Definite Linear Systems,
Mathematics of Computation,
Volume 34, Number 150, April 1980, pages 473-497.
David March,
Algorithm 434: Exact Probabilities for RxC Contingency Tables,
Communications of the ACM,
Volume 15, Number 11, November 1972, pages 991-992.
C F Marcus,
The stereographic projection in vector notation,
Mathematics Magazine,
Volume 39, Number 2, March 1966, pages 100-102.
Kanti Mardia, Peter Jupp,
Directional Statistics,
Wiley, 2000,
ISBN: 0471953334,
LC: QA276.M335.
Istvan Maros,
Computational Techniques of the Simplex Method,
Springer, 2002,
ISBN: 1402073321,
LC: T57.76.M37.
George Marsaglia,
Random numbers fall mainly in the planes,
Proceedings of the National Academy of Sciences,
Volume 61, Number 1, September 1968, pages 25-28.
George Marsaglia,
Choosing a point from the surface of a sphere,
Annals of Mathematical Statistics,
Volume 43, Number 2, April 1972, pages 645-646.
George Marsaglia, Wai Wan Tsang,
A fast, easily implemented method for sampling from decreasing or symmetric unimodal density functions,
SIAM Journal of Scientific and Statistical Computing,
Volume 5, Number 2, June 1984, pages 349-359.
George Marsaglia, Arif Zaman,
Monkey Tests for Random Number Generators,
Computers and Mathematics with Applications,
Volume 9, Number 9, 1995, pages 1-10.
George Marsaglia, Arif Zaman,
Some Very-Long-Period Portable Random Number Generators,
Computers in Physics,
Volume 8, 1995, pages 117-121.
George Marsaglia, Wai Wan Tsang,
The Ziggurat Method for Generating Random Variables,
Journal of Statistical Software,
Volume 5, Number 8, October 2000, seven pages.
Silvano Martello, Paolo Toth,
MKP: 0-1 multiple knapsack problem,
ACM Transactions on Mathematical Software,
Volume 11, Number 2, June 1985, pages 135-140.
Silvano Martello, Paolo Toth,
Knapsack Problems: Algorithms and Computer Implementations,
Wiley, 1990,
ISBN: 0-471-92420-2,
LC: QA267.7.M37.
Roger Martin, G Peters, James Wilkinson,
HQR, The QR Algorithm for Real Hessenberg Matrices,
Numerische Mathematik,
Volume 14, Number 3, February 1970, pages 219-231.
Roger Martin, Christian Reinsch, James Wilkinson,
Householder's Tridiagonalization of a Symmetric Matrix: TRED1, TRED2 and TRED3,
Numerische Mathematik,
Volume 11, Number 3, March 1968, pages 181-195.
Roger Martin, James Wilkinson,
Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvectors of Band Matrices,
Numerische Mathematik,
Volume 9, Number 4, December 1976, pages 279-301.
Roger Martin, James Wilkinson,
Similarity Reduction of a General Matrix to Hessenberg Form: ELMHES,
Numerische Mathematik,
Volume 12, Number 5, December 1968, pages 349-368.
Roger Martin, James Wilkinson,
The Implicit QL Algorithm,
Numerische Mathematik,
Volume 12, Number 5, December 1968, pages 377-383.
Oscar Martin-Sanchez,
Two Analyses of Lights Out,
Mathematics Magazine,
Volume 74, Number 4, October 2001, pages 295-304.
David Martindale, Alan Paeth,
Television Color Encoding and Hot Broadcast Colors,
in Graphics Gems II,
edited by James Arvo,
Academic Press, 1991,
ISBN: 0120644819,
LC: T385.G6972.
Wendy Martinez, Angel Martinez,
Computational Statistics Handbook with MATLAB,
Chapman and Hall / CRC, 2002,
ISBN: 1-58488-229-8,
LC: QA276.4.M272.
Michael Mascagni, Ashok Srinivasan,
Algorithm 806: SPRNG: A Scalable Library for Pseudorandom Number Generation,
ACM Transactions on Mathematical Software,
Volume 26, Number 3, September 2000, pages 436-461.
John Mason, David Handscomb,
Chebyshev Polynomials,
CRC Press, 2002,
ISBN: 0-8493-035509,
LC: QA404.5.M37.
The Mathworks,
MATLAB External Interfaces,
The Mathworks.
The MathWorks,
Partial Differential Equation Toolbox,
User's Guide.
The Mathworks,
Using MATLAB,
The Mathworks.
Joseph Maubach,
Local bisection refinement for N-simplicial grids generated by reflection,
SIAM Journal on Scientific and Statistical Computing,
Volume 16, Number 1, January 1995, pages 210-227.
Calvin McCamy, H Marcus, JG Davidson,
A Color Rendition Chart,
Journal of Applied Photographic Engineering,
Volume 11, Number 3, 1976, pages 95-99.
John McCarthy,
Pick's Theorem: What's the Big Deal?
American Mathematical Monthly,
Volume 110, Number 1, January 2003, pages 36-45.
Gary McDonald, Richard Schwing,
Instabilities of regression estimates relating air pollution to mortality,
Technometrics,
Volume 15, Number 3, pages 463-482, 1973.
Henry McGilton, Mary Campione,
PostScript by Example,
Addison-Wesley, 1992,
ISBN: 0-201-63228-4,
LC: QA76.73.P67M34.
Michael McKay, William Conover, Richard Beckman,
A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code,
Technometrics,
Volume 21, 1979, pages 239-245.
William McKeeman, Lawrence Tesler,
Algorithm 182: Nonrecursive adaptive integration,
Communications of the ACM,
Volume 6, Number 6, June 1963, page 315.
JJ McKeown,
Specialized versus general-purpose algorithms for functions that are sums of squared terms,
Mathematical Programming,
Volume 9, 1975, pages 57-68.
JJ McKeown,
On algorithms for sums of squares problems,
in Towards Global Optimisation,
edited by Laurence Dixon, Gabor Szego,
North-Holland, 1975, pages 229-257,
ISBN: 0444109552,
LC: QA402.5.T7.
Ken McKinnon,
Convergence of the Nelder-Mead simplex method to a nonstationary point,
SIAM Journal on Optimization,
Volume 9, Number 1, 1998, pages 148-158.
AD McLaren,
Optimal Numerical Integration on a Sphere,
Mathematics of Computation,
Volume 17, Number 84, October 1963, pages 361-383.
Allan Mcleod,
Algorithm AS 245: A Robust and Reliable Algorithm for the Logarithm of the Gamma Function,
Applied Statistics,
Volume 38, Number 2, 1989, pages 397-402.
Allan McLeod,
Algorithm 757: MISCFUN: A software package to compute uncommon special functions,
ACM Transactions on Mathematical Software,
Volume 22, Number 3, September 1996, pages 288-301.
Robert Mecklenburg,
Managing Projects with GNU Make,
O'Reilly, 2004,
ISBN: 0596006101,
LC: QA76.76.U84.O73.
Jean Meeus,
Astronomical Algorithms,
Second Edition,
Willman-Bell, 1998,
ISBN: 0943396611,
LC: QB51.3.E43M42.
Raman Mehra, William Kessel, James Carroll,
Global stability and contral analysis of aircraft at high angles of attack,
Technical Report CR-215-248-1, -2, -3,
Office of Naval Research, June 1977.
Gary Meisters,
Polygons have ears,
American Mathematical Monthly,
Volume 82, Number 6, June 1975, pages 648-651.
Gary Meisters,
Lewis Carroll's Day-of-the-Week Algorithm,
Math Horizons,
November 2002, pages 24-25.
David Melgaard, Richard Sincovec,
Algorithm 565: PDETWO/PSETM/GEARB: Solution of systems of two-dimensional nonlinear partial differential equations,
Volume 7, Number 1, March 1981, pages 126-135.
Rami Melhem, Werner Rheinboldt,
A Comparison of Methods for Determining Turning Points of Nonlinear Equations,
Computing,
Volume 29, Number 3, September 1982, pages 201-226.
Albert Messiah,
Quantum Mechanics,
Volume II,
North Holland, 1963,
ISBN13: 978-0486409245,
LC: QC174.1.M413.
Adrian Messner, G Taylor,
Algorithm 550: Solid Polyhedron Measures,
ACM Transactions on Mathematical Software,
Volume 6, Number 1, March 1980, pages 121-130.
Michael Metcalf,
Fortran95/2003 Explained,
Oxford, 2004,
ISBN: 0198526938,
LC: QA76.73.F235.M48.
Robert Meyer,
Theoretical and Computational Aspects of Nonlinear Regression,
in Nonlinear Programming,
edited by Judah Rosen, Olvi Mangasarian, Klaus Ritter,
Academic Press, 1970,
ISBN: 0125970501,
LC: QA3.U45 Number 25.
John Miano,
Compressed Image File Formats,
Addison Wesley, 1999,
ISBN: 0-201-60443-4,
LC: TA1637.M53.
Zbigniew Michalewicz,
Genetic Algorithms + Data Structures = Evolution Programs,
Third Edition,
Springer, 1996,
ISBN: 3-540-60676-9,
LC: QA76.618.M53.
Helmut Michels,
The Data Plotting Software DISLIN - version 10.4,
Shaker Media GmbH, January 2010,
ISBN13: 978-3-86858-517-9.
Microsoft Corporation,
Microsoft Windows Programmer's Reference,
Volume 5; Messages, Structures, and Macros,
Microsoft Press, 1993.
Charles Mifsud,
Algorithm 154: Combination in Lexicographic Order,
Communications of the ACM,
Volume 6, Number 3, March 1963, page 103.
mil_std_1753,
Military Standard 1753,
FORTRAN, DoD Supplement To American National Standard X3.9-1978,
9 November 1978.
Gary Miller, Dafna Talmor, Shang-Hua Teng, Noel Walkington, Han Wang,
Control volume meshes using sphere packing: generation, refinement and coarsening,
Proceedings of the Fifth International Meshing Roundtable,
pages 47-61, 1996.
Robert Miller,
Computing the Area of a Spherical Polygon,
in Graphics Gems IV,
edited by Paul Heckbert,
Academic Press, 1994,
ISBN: 0123361559,
LC: T385.G6974.
Edoardo Milotti,
1/f noise: a pedagogical review,
arXiv:physics/0204033.
K Mitchell,
Tables of the function Integral ( 0 < y < x ) - log | 1 - y | dy / y with an account of some properties of this and related functions,
Philosophical Magazine,
Volume 40, pages 351-368, 1949.
William Mitchell,
Exact and numerical solutions for Stokes flows in glaciers,
Master's thesis,
Department of Mathematics and Statistics,
University of Alaska, Fairbanks, Alasaka,
August 2012.
William Mitchell,
A collection of 2D elliptic problems for testing adaptive grid refinement algorithms,
Applied Mathematics and Computation,
Volume 220, 1 September 2013, pages 350-364.
William Mitchell, Marjorie McClain,
A comparison of hp-adaptive strategies for elliptic partial differential equations,
ACM Transactions on Mathematical Software,
Volume 41, Number 1, Article 2, October 2014.
Cleve Moler,
Algorithm 423: Linear Equation Solver,
Communications of the ACM,
Volume 15, Number 4, April 1972, page 274.
Cleve Moler,
Cleve's Corner: Stiff Differential Equations,
MATLAB News and Notes,
May 2003, pages 12-13.
Cleve Moler,
Trigonometry is a Complex Subject,
MATLAB News and Notes,
Summer 1998.
Cleve Moler,
Cleve's Corner: Computing Pi,
MATLAB News and Notes,
February 2012.
Cleve Moler,
Cleve's Corner: A Balancing Act for the Matrix Exponential,
July 23rd, 2012.
Cleve Moler, Charles VanLoan,
Nineteen Dubious Ways to Compute the Exponential of a Matrix, SIAM Review,
Volume 20, Number 4, October 1978, pages 801-836.
Cleve Moler, Charles VanLoan,
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later,
SIAM Review,
Volume 45, Number 1, March 2003, pages 3-49.
Cleve Moler,
Numerical Computing with MATLAB,
SIAM, 2004,
ISBN13: 978-0-898716-60-3,
LC: QA297.M625,
ebook: http://www.mathworks.com/moler/chapters.html
Cleve Moler,
Experiments with MATLAB,
ebook: http://www.mathworks.com/moler/exm/index.html
Gerald Moore, Alastair Spence,
The Calculation of Turning Points of Nonlinear Equations,
SIAM Journal on Numerical Analysis,
Volume 17, Number 4, August 1980, pages 567-576.
Jorge More,
The Levenberg-Marquardt Algorithm, Implementation and Theory,
in Springer Lecture Notes in Mathematics, Number 630,
edited by GA Watson,
Springer, 1978,
LC: QA3.L28 Number 630.
Jorge More, Burton Garbow, Kenneth Hillstrom,
User Guide for MINPACK-1,
Technical Report ANL-80-74,
Argonne National Laboratory, 1980.
Jorge More, Burton Garbow, Kenneth Hillstrom,
Testing unconstrained optimization software,
ACM Transactions on Mathematical Software,
Volume 7, Number 1, March 1981, pages 17-41.
Jorge More, Burton Garbow, Kenneth Hillstrom,
Algorithm 566: FORTRAN Subroutines for Testing unconstrained optimization software,
ACM Transactions on Mathematical Software,
Volume 7, Number 1, March 1981, pages 136-140.
Jorge More, Danny Sorensen,
Computing a Trust Region Step,
Technical Report ANL-81-83,
Argonne National Laboratory, 1981.
Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom,
The MINPACK Project,
in Sources and Development of Mathematical Software,
edited by Wayne Cowell,
Prentice-Hall, 1984,
ISBN: 0-13-823501-5,
LC: QA76.95.S68.
Jorge More, David Thuente,
Linesearch Algorithms with Guaranteed Sufficient Decrease,
ACM Transactions on Mathematical Software,
Volume 20, Number 3, September 1994, pages 286-307.
Ken Morgan, Jacques Periaux, Francois Thomasset,
Analysis of laminar flow over a backward facing step,
Notes on Numerical Fluid Mechanics, Volume 9,
Vieweg, 1984,
ISBN: 3-528-08083-3,
LC: QA929.A5.
Pedro Morin, Ricardo Nochetto, Kunibert Siebert,
Data oscillation and convergence of adaptive FEM,
SIAM Journal on Numerical Analysis,
Volume 38, Number 2, 2000, pages 466-488.
William Morokoff, Russel Caflisch,
Quasi-Monte Carlo Integration,
Journal of Computational Physics,
Volume 122, Number 2, December 1995, pages 218-230.
David Mount,
The ANN Programming Manual.
Jean-Michel Muller,
Elementary Functions: Algorithms and Implementation,
Second Edition,
Birkhaeuser, 2006,
ISBN13: 978-0-8176-4372-0,
LC: QA331.M866.
Neil Muller, Lourenco Magaia, Ben Herbst,
Singular Value Decomposition, Eigenfaces, and 3D Reconstructions,
SIAM Review,
Volume 46, Number 3, September 2004, pages 518-545.
Cesar Munoz, Anthony Narkawicz,
Formalization of Bernstein polynomials and applications to global optimization,
Journal of Automated Reasoning,
Volume 51, Number 2, 2013, pages 151-196.
Philip Munz, Ioan Hudea, Joe Imad, Robert Smith,
When Zombies Attack!: Mathematical Modelling of an Outbreak of Zombie Infection,
Infection Disease Modelling Progress,
Editors: J M Tchuenche, C Chiyaka,
Nova Science Publishers, 2009.
Bruce Murtagh,
Advanced Linear Programming: Computation and Practice,
McGraw-Hill, 1981,
ISBN: 0070440956,
LC: T57.74.M86.
Eugene Myers, Webb Miller,
Optimal Alignments in Linear Space,
CABIOS,
Volume 4, number 1, 1988, pages 11-17.
Ivan Mysovskikh,
On a cubature formula for the simplex,
Voprosy Vycislitelnoj i Prikl. Mat.,
Volume 51, 1978, pages 74-90.
Ian Nabney,
NETLAB: Algorithms for Pattern Recognition,
Springer, 2002,
ISBN13: 978-1852334406,
LC: TA1637.N33.
Noel Nachtigal, Lothar Reichel, Lloyd Trefethen,
A hybrid GMRES algorithm for nonsymmetric linear systems,
SIAM Journal on Matrix Analysis and Applications,
Volume 13, Number 3, June 1992, pages 796-825.
Dennis Nagy,
Modal Representation of Geometrically Nonlinear Behavior by the Finite Element Method,
Computers and Structures,
Volume 10, 1979, pages 683-688.
Paul Nahin,
Duelling Idiots and Other Probability Puzzlers,
Princeton University Press, 2000,
ISBN13: 978-0691009797,
LC: QA273.N29.
Paul Nahin,
Digital Dice: Computational Solutions to Practical Probability Problems,
Princeton University Press, 2008,
ISBN13: 978-0-691-12698-2,
LC: QA273.25.N34.
A. Naryanan,
Algorithm AS 266: Maximum Likelihood Estimation of the Parameters of the Dirichlet Distribution,
Applied Statistics,
Volume 40, Number 2, 1991, pages 365-374.
NASA,
Definition of the Flexible Image Transport System (FITS),
Standard NOST 100-2.0,
NASA/Science Office of Standards and Technology, 1999.
John Nash,
Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation,
Second Edition,
Taylor & Francis, 1990,
ISBN: 085274319X,
LC: QA184.N37.
John Nash,
The (Dantzig) Simplex Method for Linear Programming,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 29-31.
National Bureau of Standards,
Tables of the Bivariate Normal Distribution and Related Functions,
Applied Mathematics Series, Number 50, 1959.
National Bureau of Standards,
Digital Representation for Communication of Product Definition Data,
Technical Report: NBSIR 80-1978,
National Bureau of Standards, January, 1980.
John Nazareth,
Computer Solution of Linear Programs,
Oxford, 1988,
ISBN: 0195042786,
LC: T57.74.N38.
Radford Neal,
Markov Chain Sampling Methods for Dirichlet Process Mixture Models,
Journal of Computational and Graphical Statistics,
Volume 9, Number 2, June 2000, pages 249-265.
John Nelder, Roger Mead,
A simplex method for function minimization,
Computer Journal,
Volume 7, Number 4, January 1965, pages 308-313.
Dwight Neuenschwander,
Elegant connections in physics: Thinking like a physicist about amortization schedules,
Radiations,
Volume 16, Number 2, Fall 2010, pages 19-23.
The New York Times,
Page One, 1896-1996, A Special Commemorative Edition Celebrating the 100th Anniversary of the Purchase of the New York Times by Adolph S Ochs,
Galahad Books, 1996,
ISBN: 0-88365-961-1,
LC: D411.P25.
The New York Times,
The Complete First Pages, 1851-2008,
Black Dog & Leventhal Publishers, 2008,
ISBN13: 978-1-57912-749-7,
LC: D351.N53.
Cameron Newham, Bill Rosenblatt,
Learning the BASH Shell,
Third Edition,
O'Reilly, 2005,
ISBN: 978-0-596-00965-6,
LC: QA76.O63.N458.
Morris Newman, John Todd,
The evaluation of matrix inversion programs,
Journal of the Society for Industrial and Applied Mathematics,
Volume 6, Number 4, 1958, pages 466-476.
Hoa Nguyen, Max Gunzburger, Lili Ju, John Burkardt,
Adaptive anisotropic meshing for steady convection-dominated problems,
Computer Methods in Applied Mechanics and Engineering,
Volume 198, Number 37-40, 2009, pages 2964-2981.
Bradford Nichols, Dick Buttlar, Jacqueline Proulx Farrell,
Pthreads Programming: A POSIX Standard for Better Multiprocessing,
O'Reilly, 1996,
ISBN: 1-56592-115-1.
Harald Niederreiter,
Low-discrepancy and low-dispersion sequences,
Journal of Number Theory,
Volume 30, 1988, pages 51-70.
Harald Niederreiter,
Random Number Generation and quasi-Monte Carlo Methods,
SIAM, 1992,
ISBN13: 978-0-898712-95-7,
LC: QA298.N54.
Harald Niederreiter, Kevin McCurley,
Optimization of functions by quasi-random search methods,
Computing,
Volume 22, Number 2, 1979, pages 119-123.
Yves Nievergelt,
Numerical Linear Algebra on the HP-28, or How to Lie with Supercalculators,
The American Mathematical Monthly,
Volume 98, Number 6, June-July 1991, pages 539-544.
Albert Nijenhuis, Herbert Wilf,
Combinatorial Algorithms for Computers and Calculators,
Second Edition,
Academic Press, 1978,
ISBN: 0-12-519260-6,
LC: QA164.N54.
Albert Nijenhuis,
Random subsets of fixed size, with optimal time and storage,
Notices of the American Mathematical Society,
Publication date around 1978?
Fabio Nobile, Raul Tempone, Clayton Webster,
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data,
SIAM Journal on Numerical Analysis,
Volume 46, Number 5, 2008, pages 2309-2345.
Fabio Nobile, Raul Tempone, Clayton Webster,
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data,
SIAM Journal on Numerical Analysis,
Volume 46, Number 5, 2008, pages 2411-2442.
Julian Noble,
Gauss-Legendre Principal Value Integration,
Computing in Science and Engineering,
Volume 2, Number 1, January-February 2000, pages 92-95.
Ahmed Noor,
Recent Advances in Reduction Methods for Nonlinear Problems,
Computers and Structures,
Volume 13, 1981, pages 31-44.
Erich Novak, Klaus Ritter,
High dimensional integration of smooth functions over cubes,
Numerische Mathematik,
Volume 75, Number 1, November 1996, pages 79-97.
Erich Novak, Klaus Ritter,
Global optimization using hyperbolic cross points,
in: State of the Art in Global Optimization,
edited by: CA Floudas, PM Pardalos,
Kluwer, 1996, pages 19-33,
ISBN: 0792338383,
LC: QA402.5.S7123.
Erich Novak, Klaus Ritter,
Simple cubature formulas with high polynomial exactness,
Constructive Approximation,
Volume 15, Number 4, December 1999, pages 499-522.
Erich Novak, Klaus Ritter, Richard Schmitt, Achim Steinbauer,
On an interpolatory method for high dimensional integration,
Journal of Computational and Applied Mathematics,
Volume 112, Number 1-2, 30 November 1999, pages 215-228.
Adrian Nye,
Xlib Programming Manual R5,
O'Reilly, 1994,
ISBN: 1565920066,
LC: QA76.76.W56.N93.
Larry Nyhoff, Sanford Leestma,
Introduction to Fortran90 for Engineers and Scientists,
Prentice-Hall, 1996,
ISBN: 0135052157,
LC: QA76.73.F25N925.
Steve Oaulline,
Practical C++ Programming,
Second Edition,
O'Reilly, 2003,
ISBN: 1-56592-139-9,
LC: QA76.73.C15.O84.
Thomas OBeirne,
Puzzles and Paradoxes,
Oxford University Press, 1965,
LC: QA95.O2.
Patrick Odell, Alan Feiveson,
A numerical procedure to generate a sample covariance matrix,
Journal of the American Statistical Association,
Volume 61, Number 313, March 1966, pages 199-203.
John Oden,
Finite Elements of Nonlinear Continua,
Dover, 2006,
ISBN: 0486449734,
LC: QA808.2.O33.
M OFlaherty, G MacKenzie,
Algorithm AS 172: Direct Simulation of Nested Fortran DO-LOOPS,
Applied Statistics,
Volume 31, Number 1, 1982, pages 71-74.
Charles Ogden,
Basic English: International Second Language,
Harcourt, 1968,
ISBN: 0151106959,
LC: PE1073.5.O375.
Atsuyuki Okabe, Barry Boots, Kokichi Sugihara, Sung Nok Chiu,
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams,
Second Edition,
Wiley, 2000,
ISBN: 0-471-98635-6,
LC: QA278.2.O36.
Diane OLeary,
Estimating matrix condition numbers,
SIAM Journal on Scientific and Statistical Computing,
Volume 1, Number 2, June 1980, pages 205-209.
Dianne OLeary,
Elastoplastic Torsion: Twist and Stress,
Computing in Science and Engineering,
Volume 6, Number 4, July/August 2004, pages 74-76.
Dianne OLeary,
Models of Infection: Person to Person,
Computing in Science and Engineering,
Volume 6, Number 1, January/February 2004.
Dianne OLeary,
Scientific Computing with Case Studies,
SIAM, 2008,
ISBN13: 978-0-898716-66-5,
LC: QA401.O44.
Kent Olgaard, Garth Wells,
Optimizations for quadrature representations of finite element tensors through automated code generation,
ACM Transactions on Mathematical Software,
Volume 37, Number 1, Article 8, January 2010.
J Oliver,
An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series,
Journal of the IMA,
Volume 20, 1977, pages 379-391.
Maxim Olshanskii, Leo Rebholz,
Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics,
ETNA: Electronic Transactions in Numerical Analysis,
Volume 38, pages 258-274, 2011.
Frank Olver,
Tables of Bessel Functions of Moderate or Large Orders,
NPL Mathematical Tables, Volume 6,
Her Majesty's Stationery Office, London, 1962.
Frank Olver, David Sookne,
A Note on Backward Recurrence Algorithms,
Mathematics of Computation,
Volume 26, 1972, pages 941-947.
Frank Olver, Daniel Lozier, Ronald Boisvert, Charles Clark,
NIST Handbook of Mathematical Functions,
Cambridge University Press, 2010,
ISBN: 978-0521192255,
LC: QA331.N57.
R ONeill,
Algorithm AS 47: Function Minimization Using a Simplex Procedure,
Applied Statistics,
Volume 20, Number 3, 1971, pages 338-345.
C W Oosterlee, P Wesseling, A Segal, E Brakkee,
Benchmark solutions for the incompressible Navier-Stokes equations in general coordinates on staggered grids,
International Journal for Numerical Methods in Fluids,
Volume 17, 1993, pages 301-321.
OpenMP Architecture Review Board,
OpenMP Application Program Interface,
Version 2.5,
May 2005.
OpenMP Architecture Review Board,
OpenMP Application Program Interface,
Version 3.0,
May 2008.
Stan Openshaw, Ian Turton,
High Performance Computing and the Art of Parallel Programming: an Introduction for Geographers, Social Scientists, and Engineers,
Routledge, 2000,
ISBN: 0415156920,
LC: QA76.88.O64.
Thomas Oppe, Wayne Joubert, David Kincaid,
NSPCG User's Guide, Version 1.0,
A Package for Solving Large Sparse Linear Systems by Various Iterative Methods,
Technical Report CNA-216,
Center for Numerical Analysis,
University of Texas at Austin, April 1988.
Keith Ord,
Families of Frequency Distributions,
Lubrecht & Cramer, 1972,
ISBN: 0852641370,
LC: QA273.6.O7.
Sophocles Orfanidis,
Introduction to Signal Processing,
Prentice-Hall, 1995,
ISBN: 0-13-209172-0,
LC: TK5102.5.O246.
Joseph ORourke,
Computational Geometry in C,
Second Edition,
Cambridge, 1998,
ISBN: 0521649765,
LC: QA448.D38.
James Ortega,
Generation of Test Matrices by Similarity Transformations,
Communications of the ACM,
Volume 7, 1964, pages 377-378.
James Ortega,
An Introduction to FORTRAN90 for Scientific Computing,
Oxford, 1994,
ISBN: 0-19-517213-2,
LC: QA76.73.O75.
James Ortega, Werner Rheinboldt,
Iterative Solution of Nonlinear Equations in Several Variables,
SIAM, 1987,
ISBN13: 978-0898714616,
LC: QA297.8.O77.
Halil Oruc, George Phillips,
Explicit factorization of the Vandermonde matrix,
Linear Algebra and its Applications,
Volume 315, Number 1-3, 15 August 2000, pages 113-123.
Jon Orwant, Jarkko Hietaniemi, John Macdonald,
Mastering Algorithms with Perl,
O'Reilly, 1999,
ISBN: 1565923987,
LC: QA76.73.P22.O788.
Thomas Osler,
Cardan Polynomials and the Reduction of Radicals,
Mathematics Magazine,
Volume 74, Number 1, February 2001, pages 26-32.
Ole Osterby, Zahari Zlatev,
Direct Methods for Sparse Matrices,
Springer, 1983,
ISBN: 0387126767,
LC: QA188.O87.
Alexander Ostrowski,
On the spectrum of a one-parametric family of matrices,
Journal fuer Reine und Angewandte Mathematik,
Volume 193, Numbers 3/4, 1954, pages 143-160.
Art Owen,
Latin Supercube Sampling for Very High Dimensional Simulation,
ACM Transactions on Modeling and Computer Simulations,
Volume 8, Number 1, January 1998, pages 71-102.
Art Owen,
A central limit theorem for Latin hypercube sampling,
Journal of the Royal Statistical Society, Series B,
Volume 51, Number 2, 1992, pages 541-551.
Art Owen,
Orthogonal Arrays for Computer Experiments, Integration and Visualization,
Statistica Sinica,
Volume 2, Number 2, 1992, pages 439-452.
Art Owen,
Lattice Sampling Revisited: Monte Carlo Variance of Means Over Randomized Orthogonal Arrays,
Annals of Statistics,
Volume 22, Number 2, 1994, pages 930-945.
Donald Owen,
Handbook of Statistical Tables,
Addison-Wesley, 1962,
ISBN13: 978-0201055504,
LC: HA48.O9.
Donald Owen,
Tables for Computing Bivariate Normal Probabilities,
Annals of Mathematical Statistics,
Volume 27, Number 4, December 1956, pages 1075-1090.
Robert Owens,
An Algorithm to Solve the Frobenius Problem,
Mathematics Magazine,
Volume 76, Number 4, October 2003, pages 264-275.
Robert Owens,
Sums of Powers of Integers,
Mathematics Magazine,
Volume 65, Number 1, February 1992, pages 38-40.
Peter Pacheco,
Parallel Programming with MPI,
Morgan Kaufman, 1996,
ISBN: 1558603395,
LC: QA76.642.P3.
Kathleen Paciorek,
Algorithm 385: Exponential Integral Ei(x),
Communications of the ACM,
Volume 13, Number 7, July 1970, pages 446-447.
David Padua,
The Fortran I Compiler,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 70-75.
R L Page,
Remark on Algorithm 425: Generation of Random Correlated Normal Variables,
Communications of the ACM,
Volume 17, Number 6, June 1974, page 325.
Anargyros Papageorgiou, Joseph Traub,
Faster Evaluation of Multidimensional Integrals,
Computers in Physics,
Volume 11, Number 6, November/December 1997, pages 574-578. Volume 13, Number 7, July 1970, pages 446-447.
Federico Paris, Jose Canas,
Boundary Element Method: Fundamentals and Applications,
Oxford, 1997,
ISBN: 0-19-856543-7
LC: TA347.B69.P34.
Frank Parise, editor,
The Book of Calendars,
Gorgias, 2002,
ISBN: 1931956766,
LC: CE11.K4.
Stephen Park, Keith Miller,
Random Number Generators: Good Ones are Hard to Find,
Communications of the ACM,
Volume 31, Number 10, October 1988, pages 1192-1201.
Beresford Parlett, Christian Reinsch,
Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors,
Numerische Mathematik,
Volume 13, Number 4, August 1969, pages 293-304.
Beresford Parlett,
The QR Algorithm,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 38-42.
Seymour Parter,
On the distribution of the singular values of Toeplitz matrices,
Linear Algebra and Its Applications,
Volume 80, August 1986, pages 115-130.
J Pask, B Klein, P Sterne, C Fong,
Finite-element methods in electronic-structure theory,
Computer Physics Communications,
Volume 135, 2001, pages 1-34.
J Pask, P Sterne,
Finite-element methods in ab-initio electronic-structure calculations,
Modelling and Simulation in Materials Science and Engineering,
Volume 13, 2005, pages 71-96.
Suhas Patankar,
Numerical Heat Transfer and Fluid Flow,
Taylor and Francis, 1980,
ISBN: 0891165223,
LC: QC320.P37.
Michael Patefield, David Tandy,
Fast and Accurate Calculation of Owen's T Function,
Journal of Statistical Software,
Volume 5, Number 5, 2000, pages 1-25.
Michael Patefield,
Algorithm AS 159: An Efficient Method of Generating RXC Tables with Given Row and Column Totals,
Applied Statistics,
Volume 30, Number 1, 1981, pages 91-97.
Thomas Patterson,
On the Construction of a Practical Ermakov-Zolotukhin Multiple Integrator,
in Numerical Integration: Recent Developments, Software and Applications,
edited by Patrick Keast and Graeme Fairweather,
Reidel, 1987, pages 269-290,
ISBN: 9027725144,
LC: QA299.3.N38.
Thomas Patterson,
The optimal addition of points to quadrature formulae,
Mathematics of Computation,
Volume 22, Number 104, October 1968, pages 847-856.
Thomas Patterson,
Algorithm 468: Algorithm for Automatic Numerical Integration Over a Finite Interval,
Communications of the ACM,
Volume 16, Number 11, November 1973, pages 694-699.
Thomas Patterson,
An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions,
Transactions on Mathematical Software,
Volume 15, Number 2, June 1989, pages 123-136.
Thomas Patterson,
Algorithm 672: EXTEND: generation of interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions,
Transactions on Mathematical Software,
Volume 15, Number 2, June 1989, pages 137-143.
E Pavarino, L Neves, J Machado, M de Godoy, Y Shiyou, J Momente, G Zafalon, A Pinto, C Valencio,
Free tools and strategies for the generation of 3D finite element meshes: Modeling of the cardiac structures,
International Journal of Biomedical Imaging,
Volume 2013, Article ID 540571, 11 pages.
Theo Pavlidis,
Fundamentals of X Programming: Graphical User Interfaces and Beyond,
Kluwer Academic/Plenum Publishers, 1999,
ISBN: 0306460653,
LC: QA76.76.W56.P387.
Roger Payne,
Inversion of matrices with contents subject to modulo arithmetic,
Applied Statistics,
Volume 46, Number 2, 1997, pages 295-298.
Egon Pearson, Herman Hartley,
Biometrika Tables for Statisticians,
Cambridge, 1970,
ISBN: 978-0852647004.
Karl Pearson,
Tables of the Incomplete Beta Function,
Cambridge University Press, 1968,
ISBN: 0521059224,
LC: QA351.P38.
ML Pei,
A test matrix for inversion procedures,
Communications of the ACM,
Volume 5, Number 10, October 1962, page 508.
William Peirce,
Numerical Integration Over the Planar Annulus,
Journal of the Society for Industrial and Applied Mathematics,
Volume 5, Number 2, June 1957, pages 66-73.
Heinz-Otto Peitgen, Hartmut Juergens, Dietmar Saupe,
Chaos and Fractals - New Frontiers in Science,
Springer, 1992,
ISBN: 0-387-20229-3,
LC: Q172.5.C45.P45.
Qing Peng, Xu Zhang, Linda Hung, Emily Carter, Gang Lu,
Quantum simulation of materials at micron scales and beyond,
Physical Review B,
Volume 78, 2008, pages 054118-1:054118-14.
William Pennebaker, Joan Mitchell,
JPEG: Still Image Data Compression Standard,
Springer, 1992,
ISBN: 0442012721,
LC: TA1632.P45.
J Simoes Pereira,
Algorithm 234: Poisson-Charliers Polynomials,
Communications of the ACM,
Volume 7, Number 7, July 1964, page 420.
Per-Olof Persson, Gilbert Strang,
A Simple Mesh Generator in MATLAB,
SIAM Review,
Volume 46, Number 2, June 2004, pages 329-345.
Per-Olof Persson,
Implementation of Finite Element-Based Navier-Stokes Solver,
April 2002.
Janet Peterson,
The Reduced Basis Method for Incompressible Viscous Flows,
SIAM Journal on Scientific and Statistical Computing,
Volume 10, Number 4, July 1989, pages 777-786.
Knut Petras,
Fast Calculation of Coefficients in the Smolyak Algorithm,
Numerical Algorithms,
Volume 26, Number 2, February 2001, pages 93-109.
Knut Petras,
Smolyak Cubature of Given Polynomial Degree with Few Nodes for Increasing Dimension,
Numerische Mathematik,
Volume 93, Number 4, February 2003, pages 729-753.
Pavel Pevzner,
Computational Molecular Biology,
MIT Press, 2000,
ISBN: 0-262-16197-4,
LC: QH506.P47.
Robert Piessens,
Some Aspects of Gaussian Quadrature Formulas for the Numerical Inversion of the Laplace Transform,
The Computer Journal,
Volume 14, Number 4, November 1971, pages 433-436.
Robert Piessens,
Algorithm 453: Gaussian Quadrature Formulas for Bromwich's Integral,
Communications of the ACM,
Volume 16, Number 8, August 1973, pages 486-487.
Robert Piessens, Maria Branders,
A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto,
Mathematics of Computation,
Volume 28, Number 125, January 1974, pages 135-139.
Robert Piessens, Elise deDoncker-Kapenga, Christian Ueberhuber, David Kahaner,
QUADPACK: A Subroutine Package for Automatic Integration,
Springer, 1983,
ISBN: 3540125531,
LC: QA299.3.Q36.
Malcolm Pike, David Hill,
Algorithm 266: Pseudo-Random Numbers,
Communications of the ACM,
Volume 8, Number 10, October 1965, page 605.
Malcolm Pike, David Hill,
Algorithm 291: Logarithm of Gamma Function,
Communications of the ACM,
Volume 9, Number 9, September 1966, page 684.
Malcolm Pike, Jennie SooHoo,
Remark on Algorithm 179: Incomplete Beta Ratio,
ACM Transactions on Mathematical Software,
Volume 2, Number 2, June 1976, pages 207-208.
Robert Pincus, Russ Rew,
The NetCDF Fortran90 Interface Guide,
Unidata Program Center, March 2010.
Charles Pinter,
A Book of Abstract Algebra,
Second Edition,
McGraw Hill, 2003,
ISBN: 0072943505,
LC: QA162.P56.
Charles Pinter,
Set Theory,
Addison-Wesley, 1971,
LC: QA248.P55.
David Pisinger, Linear Time Algorithms for Knapsack Problems with Bounded Weights, Journal of Algorithms, Volume 33, Number 1, October 1999, pages 114.
Steve Plimpton, Roy Pollock, Mark Stevens,
Particle-Mesh Ewald and rRESPA for Parallel Molecular Dynamics Simulations,
in Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing,
Minneapolis, Minnesota, March 1997.
Igor Podlubny,
Matrix approach to discrete fractional calculus,
Fractional Calculus and Applied Analysis,
Volume 3, Number 4, pages 359-386, 2000.
Gerd Poenisch, Hubert Schwetlick,
Computing Turning Points of Curves Implicitly Defined by Nonlinear Equations Depending on a Parameter,
Computing,
Volume 26, Number 2, June 1981, pages 107-121.
SJ Polak, A Wachten, H Vaes, A deBeer, Cor denHeijer,
A Continuation Method for the Calculation of Electrostatic Potentials in Semiconductors,
Technical Report ISA-TIS/CARD,
NV Philips Gloeilampen-Fabrieken, 1979.
Tom Porsching,
Two Node Separation Problem,
Technical Report EPRI NP-3657,
Project 1741-2, 1984.
Tom Porsching,
Estimation of the Error in the Reduced Basis Method Solutions of Nonlinear Equations,
Mathematics of Computation,
Volume 45, Number 172, October 1985, pages 487-496.
Tom Porsching, Meei-Yow Lin Lee,
The Reduced Basis Method for Initial Value Problems,
SIAM Journal on Numerical Analysis,
Volume 24, Number 6, December 1987, pages 1277-1287.
Harry Posten,
An Effective Algorithm for the Noncentral Beta Distribution Function,
The American Statistician,
Volume 47, Number 2, May 1993, pages 129-131.
Tim Poston, Ian Stewart,
Catastrophe Theory and its Applications,
Dover, 1996,
ISBN13: 978-0486692715,
LC: QA614.58.P66.
Frank Powell,
Statistical Tables for Sociology, Biology and Physical Sciences,
Cambridge University Press, 1982,
ISBN: 0521284732,
LC: QA276.25.S73.
Michael Powell,
An Iterative Method for Finding Stationary Values of a Function of Several Variables,
Computer Journal,
Volume 5, 1962, pages 147-151.
Michael Powell,
An Efficient Method for Finding the Minimum of a Function of Several Variables Without Calculating Derivatives,
Computer Journal,
Volume 7, Number 2, 1964, pages 155-162.
Michael Powell,
A Hybrid Method for Nonlinear Equations,
in Numerical Methods for Nonlinear Algebraic Equations,
edited by Philip Rabinowitz,
Gordon and Breach, 1970,
ISBN13: 978-0677142302,
LC: QA218.N85.
Michael Powell,
A Fortran Subroutine for Solving Systems of Nonlinear Algebraic Equations,
in Numerical Methods for Nonlinear Algebraic Equations,
edited by Philip Rabinowitz,
Gordon and Breach, 1970,
ISBN13: 978-0677142302,
LC: QA218.N85.
William Pratt,
Digital Image Processing,
Second Edition,
Wiley, 1991,
ISBN13: 978-0471857662,
LC: TA1632.P7.
William Press,
Flicker Noises in Astronomy and Elsewhere,
Comments on Astrophysics,
Volume 7, Number 4, 1978, pages 103-119.
William Press, Brian Flannery, Saul Teukolsky, William Vetterling,
Numerical Recipes in C: The Art of Scientific Computing,
Cambridge University Press, 1988,
ISBN: 0-521-35465-X,
LC: QA76.73.C15N865.
William Press, Brian Flannery, Saul Teukolsky, William Vetterling,
Numerical Recipes in FORTRAN: The Art of Scientific Computing,
Third Edition,
Cambridge University Press, 2007,
ISBN13: 978-0-521-88068-8,
LC: QA297.N866.
Albrecht Preusser,
Algorithm 626: TRICP: A Contour Plot Program for Triangular Meshes,
ACM Transactions on Mathematical Software,
Volume 10, Number 4, December 1984, pages 473-475.
Valerie Quercia, Tim OReilly,
X Window System User's Guide,
Volume Three,
O'Reilly, 1990,
ISBN: 0-937175-14-5,
LC: QA76.76.W56.Q83.
Michael Quinn,
Parallel Programming in C with MPI and OpenMP,
McGraw-Hill, 2004,
ISBN13: 978-0071232654,
LC: QA76.73.C15.Q55.
Philip Rabinowitz, George Weiss,
Tables of Abscissas and Weights for Numerical Evaluation of Integrals of the form $\int_0^{\infty} exp(-x) x^n f(x) dx$,
Mathematical Tables and Other Aids to Computation,
Volume 13, Number 68, October 1959, pages 285-294.
Hans Rademacher, Emil Grosswald,
Dedekind Sums,
Mathematical Association of America, 1972,
LC: QA241.R2.
K Radhakrishnan, Alan Hindmarsh,
Description and Use of LSODE, the Livermore Solver for Ordinary Differential Equations,
Technical report UCRL-ID-113855,
Lawrence Livermore National Laboratory, December 1993.
Sudarshan Raghunathan,
Making a Supercomputer Do What You Want: High Level Tools for Parallel Programming,
Computing in Science and Engineering,
Volume 8, Number 5, September/October 2006, pages 70-80.
Ralph Raimi,
The Peculiar Distribution of First Digits,
Scientific American,
Volume 221, December 1969, pages 109-120.
Pradeep Ramuhalli, Lalita Udpa, Satish Udpa,
Finite-element neural networks for solving differential equations,
IEEE Transactions on Neural Networks,
Volume 16, Number 6, November 2005, pages 1381-1392.
Dennis Rapaport,
An Introduction to Interactive Molecular-Dynamics Simulation,
Computers in Physics,
Volume 11, Number 4, July/August 1997, pages 337-347.
Dennis Rapaport,
The Art of Molecular Dynamics Simulation,
Cambridge University Press, 2004,
ISBN: 0521825687,
LC: QC173.457.C64.R37.
Leonard Rastrigin,
Extremal control systems,
in Theoretical Foundations of Engineering Cybernetics Series,
Moscow: Nauka, Russian, 1974.
Arunachalam Ravindran,
Algorithm 431: A Computer Routine for Quadratic and Linear Programming Problems,
Communications of the ACM,
Volume 15, Number 9, September 1972, pages 818-820.
Sashwati Ray, PSV Nataraj,
An efficient algorithm for range computation of polynomials using the Bernstein form,
Journal of Global Optimization,
Volume 45, 2009, pages 403-426.
Lothar Reichel, Lloyd Trefethen,
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices,
Linear Algebra and Its Applications,
Volume 162-164, February 1992, pages 153-185.
Gerhard Reinelt,
TSPLIB - A Traveling Salesman Problem Library,
ORSA Journal on Computing,
Volume 3, Number 4, Fall 1991, pages 376-384.
Edward Reingold, Nachum Dershowitz,
Calendrical Calculations: The Millennium Edition,
Cambridge University Press, 2001,
ISBN: 0-521-77752-6,
LC: CE12.R45.
Edward Reingold, Nachum Dershowitz,
Calendrical Calculations I,
Software - Practice and Experience,
Volume 20, Number 9, September 1990, pages 899-928.
Edward Reingold, Nachum Dershowitz, Stewart Clamen,
Calendrical Calculations, II: Three Historical Calendars,
Software - Practice and Experience,
Volume 23, Number 4, pages 383-404, April 1993.
Josef Reinkenhof,
Differentiation and integration using Bernstein's polynomials,
International Journal of Numerical Methods in Engineering,
Volume 11, Number 10, 1977, pages 1627-1630.
Christian Reinsch,
Algorithm 464: Eigenvalues of a real symmetric tridiagonal matrix,
Communications of the ACM,
Volume 16, Number 11, November 1973, page 689.
Alfredo Remon, Enrique Quintana-Orti, Gregorio Quintana-Orti,
LAPACK-Style Codes for the QR Factorization of Banded Matrices,
To Appear.
Robert Renka,
Algorithm 751: TRIPACK, A Constrained Two-Dimensional Delaunay Triangulation Package,
ACM Transactions on Mathematical Software,
Volume 22, Number 1, March 1996, pages 1-8.
Robert Renka,
Algorithm 660: QSHEP2D, Quadratic Shepard method for bivariate interpolation of scattered data,
ACM Transactions on Mathematical Software,
Volume 14, Number 2, June 1988, pages 149-150.
Robert Renka,
Algorithm 661: QSHEP3D, Quadratic Shepard method for trivariate interpolation of scattered data,
ACM Transactions on Mathematical Software,
Volume 14, Number 2, June 1988, pages 151-152.
Robert Renka,
Algorithm 772: STRIPACK: Delaunay Triangulation and Voronoi Diagram on the Surface of a Sphere,
ACM Transactions on Mathematical Software,
Volume 23, Number 3, September 1997, pages 416-434.
Robert Renka,
Algorithm 790: CSHEP2D: Cubic Shepard Method for Bivariate Interpolation of Scattered Data,
ACM Transactions on Mathematical Software,
Volume 25, Number 1, March 1999, pages 70-73.
Robert Renka, Ron Brown,
Algorithm 792: Accuracy Tests of ACM Algorithms for Interpolation of Scattered Data in the Plane,
ACM Transactions on Mathematical Software,
Volume 25, Number 1, March 1999, pages 78-94.
Russ Rew, Glenn Davis, Steve Emmerson, Harvey Davies, Ed Hartne,
The NetCDF User's Guide,
Unidata Program Center, March 2009.
Russ Rew, Glenn Davis, Steve Emmerson, Harvey Davies,
The NetCDF C Interface Guide,
Unidata Program Center, January 2007.
Russ Rew,
The NetCDF C++ Interface Guide,
Unidata Program Center, August 2008.
Russ Rew, Glenn Davis, Steve Emmerson, Harvey Davies,
The NetCDF Fortran77 Interface Guide,
Unidata Program Center, March 2010.
Craig Reynolds,
Flocks, Herds, and Schools: A Distributed Behavioral Model,
SIGGRAPH '87 Proceedings,
Computer Graphics, 21(4) 1987, pages 25-34.
Werner Rheinboldt,
Algorithms for finding zeros of a function,
UMAP Journal,
Volume 2, Number 1, 1981, pages 43-72.
Werner Rheinboldt,
Methods for Solving Systems of Nonlinear Equations,
SIAM, 1998,
ISBN: 089871415X,
LC: QA214.R44.
Werner Rheinboldt,
Computation of Critical Boundaries on Equilibrium Manifolds,
SIAM Journal of Numerical analysis,
Volume 19, Number 3, June 1982, pages 653-669.
Werner Rheinboldt, John Burkardt,
A Locally Parameterized Continuation Process,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 215-235.
Werner Rheinboldt, John Burkardt,
Algorithm 596: A Program for a Locally Parameterized Continuation Process,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 236-241.
Werner Rheinboldt,
Numerical Analysis of Parameterized Nonlinear Equations,
Wiley, 1986,
ISBN: 0-471-88814-1,
LC: QA372.R54.
Werner Rheinboldt,
Sample Problems for Continuation Processes,
Technical Report ICMA-80-?,
Institute for Computational Mathematics and Applications,
Department of Mathematics,
University of Pittsburgh, November 1980.
Werner Rheinboldt,
Solution Fields of Nonlinear Equations and Continuation Methods,
SIAM Journal on Numerical Analysis,
Volume 17, Number 2, April 1980, pages 221-237.
Werner Rheinboldt,
Numerical Analysis of Continuation Methods for Nonlinear Structural Problems,
Computers and Structures,
Volume 13, 1981, pages 103-114.
Werner Rheinboldt,
On the Solution of Some Nonlinear Equations Arising in the Application of Finite Element Methods,
in The Mathematics of Finite Elements and Applications II,
edited by John Whiteman,
Academic Press, 1976,
LC: TA347.F5.M37.
Werner Rheinboldt, John Burkardt,
A Locally Parameterized Continuation Process,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 215-235.
Edward Richards,
Mapping Time, The Calendar and Its History,
Oxford, 1999,
ISBN: 0-19-850413-6,
LC: CE11.R5.
Joel Richardson, James Kuester,
Algorithm 454: The Complex Method for Constrained Optimization,
Communications of the ACM,
Volume 16, Number 8, August 1973, pages 487-489.
Norman Richert,
Strang's Strange Figures,
American Mathematical Monthly,
Volume 99, Number 2, February 1992, pages 101-107.
Branch Rickey,
Goodby to Some Old Baseball Ideas,
Life Magazine,
2 August 1954.
E Riks,
The Application of Newton's Method to the Problem of Elastic Stability,
Transactions of the ASME, Journal of Applied Mechanics,
December 1972, pages 1060-1065.
Todd Ringler, John Thuburn, Joseph Klemp, William Skamarock,
A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids,
Journal of Computational Physics,
Volume 229, Number 9, 1 May 2010, pages 3065-3090.
Todd Ringler, Lili Ju, Max Gunzburger,
A multiresolution method for climate system modeling: application of spherical centroidal Voronoi tessellations,
Ocean Dynamics,
Volume 58, Number 5-6, 2008, pages 475-498.
Sara Robinson,
Why Mathematicians Now Care About Their Hat Color,
The New York Times,
10 April 2001.
Claudio Rocchini, Paolo Cignoni,
Generating Random Points in a Tetrahedron,
Journal of Graphics Tools,
Volume 5, Number 4, 2000, pages 9-12.
Daniel Rockmore,
The FFT: An Algorithm the Whole Family Can Use,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 60-64.
Greg Roelofs,
PNG: The Definitive Guide,
O'Reilly, 1999,
ISBN: 1-56592-542-4,
LC: T385.R588.
Friedrich Roesler,
Riemann's hypothesis as an eigenvalue problem,
Linear Algebra and Its Applications,
Volume 81, September 1986, pages 153-198.
David Rogers, Alan Adams,
Mathematical Elements for Computer Graphics,
Second Edition,
McGraw Hill, 1989,
ISBN: 0070535299,
LC: T385.R6.
Marie Rognes, Anders Logg,
Automated goal-oriented error control I: stationary variational problems,
SIAM Journal on Scientific Computing,
Volume 35, Number 3, 2013, pages C173-C193.
Vicente Romero, John Burkardt, Max Gunzburger, Janet Peterson, T Krishnamurthy,
Initial Application and Evaluation of a Promising New Sampling method for Response Surface Generation: Centroidal Voronoi Tessellation,
AIAA-2003-2008,
44th AIAA/ASME/ASCE/AHS/ASC Structurs, Structural Dynamics, and Materials Conference, Norfolk, Virginia, April 7-10, 2003.
Vicente Romero, John Burkardt, Max Gunzburger, Janet Peterson,
Initial Evaluation of Centroidal Voronoi Tessellation for Statistical Sampling and Function Integration,
Fourth International Symposium on Uncertainty Modeling and Analysis, (ISUMA) 2003.
Vicente Romero, John Burkardt, Max Gunzburger, Janet Peterson,
Initial Evaluation of Pure and "Latinized" Centroidal Voronoi Tessellation for Non-Uniform Statistical Sampling,
Sensitivity Analysis of Model Output (SAMO 2004) Conference, Santa Fe, March 8-11, 2004.
Vicente Romero, John Burkardt, Max Gunzburger, Janet Peterson,
Comparison of Pure and "Latinized" Centroidal Voronoi Tessellation Against Various Other Statistical Sampling Methods,
Journal of Reliability Engineering and System Safety,
Volume 91, Numbers 10-11, October/November 2006.
Howard Rosenbrock,
An Automatic Method for Finding the Greatest or Least Value of a Function,
Computer Journal,
Volume 3, 1960, pages 175-184.
Reuven Rubinstein,
Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks,
Krieger, 1992,
ISBN: 0894647644,
LC: QA298.R79.
Frederick Ruckdeschel,
BASIC Scientific Subroutines,
Volume I,
McGraw Hill, 1980,
ISBN: 0-07-054201-5,
LC: QA76.95.R82.
Frederick Ruckdeschel,
BASIC Scientific Subroutines,
Volume II,
McGraw Hill, 1980,
ISBN: 0-07-054202-3,
LC: QA76.95.R82.
Siegfried Rump,
Wie Zuverlaessig Sind die Ergebnisse Unserer Rechenanlagen?
(How Reliable are the Results of our Computations?)
Jahrbuch Ueberblicke Mathematik 1983, pages 163-168.
Jim Ruppert,
A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation,
Journal of Algorithms,
Volume 18, Number 3, May 1995, pages 548-585.
Frank Ruskey,
Combinatorial Generation,
Unpublished, 2003.
Daniel Rutherford,
Some continuant determinants arising in physics and chemistry II,
Proceedings of the Royal Society Edinburgh,
Volume 63, A, 1952, pages 232-241.
Heinz Rutishauser,
On test matrices,
Programmation en Mathematiques Numeriques,
Centre National de la Recherche Scientifique,
1966, pages 349-365.
Barbara Ryder,
The PFORT verifier,
in Software: Practice and Experience,
Volume 4, Number 4, 1974, pages 359-377.
Barbara Ryder, Andrew Hall,
The PFORT verifier,
Bell Laboratories Computer Science Technical Report,
Number 12, 1975.
Herbert Ryser,
Combinatorial Mathematics,
Mathematical Association of America, 1963,
ISBN: 0883850141,
LC: QA165.R95.
Yousef Saad,
Sparskit: a basic tool kit for sparse matrix computations,
Technical Report,
Computer Science Department,
University of Minnesota, June 1994.
Yousef Saad,
Analysis of some Krylov subspace approximations to the matrix exponential operator,
Technical Report TR90.14,
Research Institute for Advanced Computer Science, 1990.
Yousef Saad,
Iterative Methods for Sparse Linear Systems,
Second Edition,
SIAM, 2003,
ISBN: 0898715342,
LC: QA188.S17.
Donald Saari,
Apportionment Methods and the House of Representatives,
The American Mathematical Monthly,
Volume 85, Number 10, December 1978, pages 792-802.
Edward Saff, Arno Kuijlaars,
Distributing Many Points on a Sphere,
The Mathematical Intelligencer,
Volume 19, Number 1, 1997, pages 5-11.
Yuki Saka, Max Gunzburger, John Burkardt,
Latinized, Improved LHS, and CVT Point Sets in Hypercubes,
International Journal of Numerical Analysis and Modeling,
Volume 4, Number 3-4, 2007, pages 729-743.
Douglas Salane,
A continuation approach for solving large residual nonlinear least squares problems,
SIAM Journal on Scientific and Statistical Computing,
Volume 8, Number 4, July 1987, pages 655-671.
Lee Sallows,
The Impossible Problem,
Mathematical Intelligencer,
Volume 17, Number 1, Winter 1995, pages 27-33.
Herbert Salzer, Norman Levine,
Table of a Weierstrass Continuous Nondifferentiable Function,
Mathematics of Computation,
Volume 15, Number 74, April 1961, pages 120-130.
John Sammon,
A nonlinear mapping for data structure analysis,
IEEE Transactions on Computers,
Volume C-18, Number 5, May 1969, pages 401-409.
Jason Sanders, Edward Kandrot,
CUDA by Example,
Addison Wesley, 2010,
ISBN: 978-0-13-138768-3,
LC:QA76.76.A65S255.
James Sandeson,
Testing Ecological Patterns,
American Scientist,
Volume 88, Number 4, July-August 2000, pages 332-339.
Scott Sarra, Edward Kansa,
Multiquadric radial basis function approximation methods for the numerical solution of partial differential equations,
Advances in Computational Mechanics,
Volume 2, 2009.
Tomas Sauer, Yuan Xu,
On multivariate Lagrange interpolation,
Mathematics of Computation,
Volume 64, Number 211, July 1995, pages 1147-1170.
David Savir, George Laurer,
The Characteristics and Decodability of the Universal Product Code,
IBM Systems Journal,
Volume 14, Number 1, pages 16-34, 1975.
Stanley Sawyer,
Wishart Distributions and Inverse-Wishart Sampling,
Washington University,
30 April 2007, 12 pages.
Ian Saunders,
Algorithm AS 205: Enumeration of R x C Tables with Repeated Row Totals,
Applied Statistics,
Volume 33, Number 3, 1984, pages 340-352.
Paul Saylor, James Sebastian,
Algorithm 429: Localization of the Roots of a Polynomial,
Communications of the ACM,
Volume 15, Number 8, August 1972, pages 776-777.
Paul Saylor, James Sebastian,
Algorithm 446: Ten Subroutines for the Manipulation of Chebyshev Series,
Communications of the ACM,
Volume 16, Number 4, October 1973, pages 254-256.
Paul Saylor, James Sebastian,
Algorithm 460: Calculation of Optimum Parameters for Alternating Direction Implicit Procedures,
Communications of the ACM,
Volume 16, Number 10, October 1973, pages 633-635.
LE Scales,
Introduction to Non-Linear Optimization,
Springer, 1985,
ISBN: 0-387-91252-5,
LC: QA402.5.S33.
Michael Schaefer, Stefan Turek,
Benchmark Computations of Laminar Flow Around a Cylinder,
Notes on Numerical Fluid Mechanics,
Volume 52, 1996, pages 547-566.
Robert Scheifler, James Gettys,
X Window System, Complete Reference to Xlib and Protocol,
Digital Press, 1990,
ISBN: 0139720502,
LC: QA76.76.W56.S345.
Palmer Schlegel,
The Explicit Inverse of a Tridiagonal Matrix,
Mathematics of Computation,
Volume 24, Number 111, July 1970, page 665.
Robert Schnabel, Paul Frank,
Tensor Methods for Nonlinear Equations,
SIAM Journal on Numerical Analysis,
Volume 21, Number 5, October 1984, pages 815-843.
Robert Schnabel, John Koontz, Barry Weiss,
A modular system of algorithms for unconstrained minimization,
Technical Report CU-CS-240-82,
Computer Science Department,
University of Colorado at Boulder, 1982.
BE Schneider,
Algorithm AS 121: Trigamma Function,
Applied Statistics,
Volume 27, Number 1, 1978, pages 97-99.
Philip Schneider, David Eberly,
Geometric Tools for Computer Graphics,
Elsevier, 2002,
ISBN: 1558605940,
LC: T385.S334.
Peter Schorn, Frederick Fisher,
Testing the Convexity of a Polygon,
in Graphics Gems IV,
edited by Paul Heckbert,
AP Professional, 1994,
ISBN: 0123361559,
LC: T385.G6974.
Linus Schrage,
A More Portable Fortran Random Number Generator,
ACM Transactions on Mathematical Software,
Volume 5, Number 2, June 1979, pages 132-138.
Geza Schrauf,
Algorithm 664: A Gauss Algorithm to Solve Systems with Large, Banded Matrices Using Random Access Disk Storage,
ACM Transactions on Mathematical Software,
Volume 14, Number 3, September 1988, pages 257-260,
Will Schroeder, Ken Martin, Bill Lorensen,
The Visualization Toolkit, An Object-Oriented Approach to 3D Graphics,
Prentice Hall, 1998,
ISBN: 0139546944,
LC: QA76.64.S36.
Will Schroeder, Ken Martin, Lisa Avila, Charles Law,
The Visualization Toolkit User's Guide,
Kitware Inc, May 2000,
ISBN13: 978-1930934030.
Ulrich Schumann, Roland Sweet,
A direct method for the solution of Poisson"s equation with Neumann boundary conditions on a staggered grid of arbitrary size,
Journal of Computational Physics,
Volume 20, 1976, pages 171-182.
Charles Schwartz,
Numerical Integration of Analytic Functions,
Journal of Computational Physics,
Volume 4, Number 1, June 1969, pages 19-29.
Randal Schwartz, Tom Christiansen,
Learning Perl,
Second Edition,
O'Reilly, 1997,
ISBN: 1-56592-284-0,
LC: QA76.73.P22.S37.
Alan Schwarz,
Looking Beyond the Batting Average,
The New York Times,
Sunday, 1 August 2004.
Hans Rudolf Schwarz,
Finite Element Methods,
Academic Press, 1988,
ISBN: 0126330107,
LC: TA347.F5.S3313.
Hans-Paul Schwefel, Numerical optimization of computer models, Wiley, 1981, ISBN13: 978-0471099888, LC: QA402.5.S3813.
Albert Schy, Margery Hannah,
Prediction of Jump Phenomena in Roll-coupled Maneuvers of Airplanes,
Journal of Aircraft,
Volume 14, Number 4, 1977, pages 375-382.
Mark Seager,
A SLAP for the Masses,
Technical Report: UCRL-100267,
Lawrence Livermore National Laboratory, December 1988.
Robert Sedgewick,
Algorithms in C,
Addison-Wesley, 1990,
ISBN: 0-201-51425-7,
LC: QA76.73.C15S43.
Raymond Seroul,
Programming for Mathematicians,
Springer, 2000,
ISBN: 3-540-66422-X,
LC: QA76.6.S465.
Yakov Shafranovich,
RFC 4180: Common Format and MIME Type for Comma-Separated Values (CSV) Files,
October 2005.
Lawrence Shampine, Rebecca Allen, Steven Pruess,
Fundamentals of Numerical Computing,
Wiley, 1997,
ISBN-13: 978-0471163633,
LC: QA297.A52.
Lawrence Shampine, Marilyn Gordon,
Computer Solution of Ordinary Differential Equations: The Initial Value Problem,
Freeman, 1975,
ISBN: 0716704617,
LC: QA372.S416.
Lawrence Shampine, Herman Watts,
ZEROIN, a Root-Solving Routine,
Technical Report: SC-TM-70-631,
Sandia National Laboratories, September 1970.
Lawrence Shampine, Herman Watts, SM Davenport,
Solving Non-stiff Ordinary Differential Equations - The State of the Art,
SIAM Review,
Volume 18, Number 3, July 1976, pages 376-411.
Lawrence Shampine, Jacek Kierzenka, Mark Reichelt,
Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c,
26 October 2000.
Varun Shankar, Grady Wright, Robert Kirby, Aaron Fogelson,
A Radial Basis Function (RBF)-Finite Difference (FD) method for Diffusion and Reaction-Diffusion Equations on Surfaces,
arXiv:1404.0812v1 [math.NA] 3 Apr 2014.
Gaurav Sharma, Jos Martin,
MATLAB: A Language for Parallel Computing,
International Journal of Parallel Programming,
Volume 37, Number 1, pages 3-36, February 2009.
Dennis Shasha,
Wordsnakes,
Dr Dobb's Journal,
Volume 25, Number 7, July 2000, pages 143-144.
BL Shea,
Algorithm AS 239: Chi-squared and Incomplete Gamma Integral,
Applied Statistics,
Volume 37, Number 3, 1988, pages 466-473.
BL Shea,
Remark AS R77: A Remark on Algorithm AS 152: Cumulative hypergeometric probabilities,
Applied Statistics,
Volume 38, Number 1, 1989, pages 199-204.
Mok-Kong Shen,
Algorithm 202: Generation of Permutations in Lexicographical Order,
Communications of the ACM,
Volume 6, Number 9, September 1963, page 517.
Donald Shepard,
A two-dimensional interpolation function for irregularly spaced data,
ACM '68: Proceedings of the 1968 23rd ACM National Conference,
ACM, pages 517-524, 1969.
Larry Shepp, Ben Logan,
The Fourier reconstruction of a head section,
IEEE Transactions on Nuclear Science,
Volume NS-21, June 1974, pages 21-43.
Larry Shepp,
Computerized tomography and nuclear magnetic resonance,
Journal of Computer Assisted Tomography,
Volume 4, Number 1, February 1980, pages 94-107.
Jonathan Shewchuk,
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator,
in Applied Computational Geometry: Towards Geometric Engineering,
edited by Ming Lin, Dinesh Manocha,
Lecture Notes in Computer Science, Volume 1148,
Springer, 1996,
ISBN: 354061785X,
LC: QA448.D38.A635.
Jonathan Shewchuk,
Delaunay Refinement Algorithms for Triangular Mesh Generation,
Computational Geometry, Theory and Applications,
Volume 23, May 2002, pages 21-74.
Jonathan Shewchuk,
An introduction to the conjugate gradient method without the agonizing pain, Edition 1.25, August 1994.
Moshe Shimrat,
Algorithm 112: Position of Point Relative to Polygon,
Communications of the ACM,
Volume 5, Number 8, August 1962, page 434.
Fumio Shimura,
Semiconductor Silicon Crystal Technology,
Academic Press, 1989,
ISBN13: 978-0126400458,
LC: TK7871.85.S523.
Peter Shirley,
Nonuniform Random Point Sets Via Warping,
in Graphics Gems III,
edited by David Kirk,
Academic Press, 1992,
ISBN: 0124096735,
LC: T385.G6973.
Bruno Shubert,
A sequential method seeking the global maximum of a function,
SIAM Journal on Numerical Analysis,
Volume 9, Number 3, September 1972, pages 379-388.
Martin Shubik,
"Does the Fittest Necessarily Survive?",
in Readings in Game Theory and Political Behavior,
edited by Martin Shubik,
Doubleday, 1954,
LC: H61.S53.
Hang Si,
TetGen, a quality tetrahedral mesh generator and 3D Delaunay Triangulator,
User Manual version 1.4,
Weierstrass Institute for Applied Analysis and Stochastics,
Berlin, 16 January 2006.
Hang Si,
TetGen, a Delaunay-based quality tetrahedral mesh generator,
ACM Transactions on Mathematical Software,
Volume 41, Number 2, January 2015, 36 pages.
Roger Sidje,
EXPOKIT: Software Package for Computing Matrix Exponentials,
ACM Transactions on Mathematical Software,
Volume 24, Number 1, March 1998, pages 130-156.
Peter Silvester,
Symmetric Quadrature Formulae for Simplexes,
Mathematics of Computation,
Volume 24, Number 109, January 1970, pages 95-100.
Bruce Simpson,
A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations,
SIAM Journal on Numerical Analysis,
Volume 12, Number 3, June 1975, pages 439-451.
Richard Sincovec, Niel Madsen,
Software for Nonlinear Partial Differential Equations,
ACM Transactions on Mathematical Software,
Volume 1, Number 3, September 1975, pages 232-260.
Richard Sincovec, Niel Madsen,
Algorithm 494: PDEONE,
ACM Transactions on Mathematical Software,
Volume 1, Number 3, September 1975, pages 261-263.
Tanmay Singal, Ashok Singal,
Determining planetary positions in the sky for +/- 50 years to an accuracy of 1 degree with a calculator,
PRAYAS Students' Journal of Physics,
ArXiv:0910:2778v1.
Simon Singh,
The Code Book,
Anchor, 1999,
ISBN: 0-385-49532-3,
LC: Z103.S56.
Richard Singleton,
Algorithm 347: An Efficient Algorithm for Sorting with Minimal Storage,
Communications of the ACM,
Volume 12, Number 3, March 1969, pages 185-187.
Lawrence Sirovich,
Turbulence and the dynamics of coherent structures, Parts I-III,
Quarterly of Applied Mathematics,
Volume 45, Number 3, 1987, pages 561-590.
Kimmen Sjoelander, Kevin Karplus, Michael Brown, Richard Hughey, Anders Krogh, Siara Mian, David Haussler,
Dirichlet Mixtures: a method for improved detection of weak but significant protein sequence homology,
Computer Applications in the Biosciences,
Volume 12, Number 4, pages 327-345, 1996.
Stephen Skiena,
Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica,
Addison Wesley, 1990,
ISBN: 0201509431,
LC: QA164.S56.
Steven Skiena,
The Algorithm Design Manual,
Springer, 2008,
ISBN-13: 978-1-84800-069-8,
LC: QA76.9.A43S55.
Ian Sloan, Stephen Joe,
Lattice Methods for Multiple Integration,
Oxford University Press, 1994,
ISBN: 0198534728,
LC: QA311.S56.
Ian Sloan, Robert Womersley,
How good can polynomial interpolation on the sphere be?,
Advances in Computational Mathematics,
Volume 14, 2001, pages 195-226.
Jason Smart, Andrew McCammon,
Analysis of synaptic transmission in the neuromuscular junction using a continuum finite element model,
Biophysical Journal,
Volume 75, October 1998, pages 1679-1688.
AFM Smith, Udi Makov,
A Quasi-Bayes Sequential Procedure for Mixtures,
Journal of the Royal Statistical Society,
Volume 40, Number 1, B, 1978, pages 106-112.
Andrew Smith,
Fast construction of constant bound functions for sparse polynomials,
Journal of Global Optimization,
Volume 43, 2009, pages 445-458.
Brian Smith,
The Semantics of Clocks,
in Aspects of Artificial Intelligence,
edited by James Fetzer,
Kluwer, 1988,
ISBN: 1-55608-037-9,
LC: Q334.A86.
Brian Smith, James Boyle, Jack Dongarra, Burton Garbow, Yasuhiko Ikebe, Virginia Klema, Cleve Moler,
Matrix Eigensystem Routines, EISPACK Guide,
Lecture Notes in Computer Science, Volume 6,
Springer, 1976,
ISBN13: 978-3540075462,
LC: QA193.M37.
CS Smith,
Multiplicative Pseudo-Random Number Generators with Prime Modulus,
Journal of the ACM,
Volume 18, Number 4, October 1971, pages 586-593.
D Smith,
Algorithm AS 189.3: Maximum Likelihood Estimation of the Parameters of the Beta Binomial Distribution,
Applied Statistics,
Volume 32, Number 2, pages 196-204, 1983.
Francis Smith,
An algorithm for summing orthogonal polynomial series and their derivatives with applications to curve-fitting and interpolation,
Mathematics of Computation,
Volume 19, Number 89, 1965, pages 33-36.
Robert Smith, Dennis McCall,
Algorithm 392: Systems of Hyperbolic PDE,
Communications of the ACM,
Volume 13, Number 9, June 1970, pages 567-570.
William Smith, Ronald Hocking,
Algorithm AS 53, Wishart Variate Generator,
Applied Statistics,
Volume 21, Number 3, pages 341-345, 1972.
Sergey Smolyak,
Quadrature and Interpolation Formulas for Tensor Products of Certain Classes of Functions,
Doklady Akademii Nauk SSSR,
Volume 4, 1963, pages 240-243.
Marc Snir, Steve Otto, Steven Huss-Lederman, David Walker, Jack Dongarra,
MPI: The Complete Reference,
Volume I: The MPI Core,
Second Edition,
MIT Press, 1998,
ISBN: 0-262-69216-3,
LC: QA76.642.M65.
Ilya Sobol,
Uniformly Distributed Sequences with an Additional Uniform Property,
USSR Computational Mathematics and Mathematical Physics,
Volume 16, 1977, pages 236-242.
Ilya Sobol, YL Levitan,
The Production of Points Uniformly Distributed in a Multidimensional Cube (in Russian),
Preprint IPM Akademii Nauk SSSR,
Number 40, Moscow 1976.
Robert Sokal, James Rohlf,
Biometry: The Principles and Practice of Statistics in Biological Research,
MacMillan, 1995,
ISBN13: 9780716724117,
LC: QH323.5.S63.
Robert Sokal, James Rohlf,
Introduction to Biostatistics,
Dover, 2009,
ISBN13: 9780486469614,
LC: QH323.5.S633.
Alvise Sommariva, Marco Vianello,
Computing approximate Fekete points by QR factorizations of Vandermonde matrices,
Computers and Mathematics with Applications,
Volume 57, 2009, pages 1324-1336.
Paul Sommers,
Is Presidential Greatness Related to Height?,
The College Mathematics Journal,
Volume 33, Number 1, pages 14-16, January 2002.
Peter Sonneveld,
CGS, a fast Lanczos-type solver for nonsymmetric linear systems,
Technical Report 84-16,
Department of Mathematics and Informatics,
Delft University of Technology, 1984.
David Sookne,
Bessel Functions of Real Argument and Integer Order,
NBS Journal of Research B,
Volume 77B, 1973, pages 125-132.
Danny Sorensen,
Implicitly Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue Calculations,
Technical Report TR-96-40,
Department of Computational and Applied Mathematics,
Rice University, 1996.
Helmuth Spaeth,
Cluster Dissection and Analysis,
Theory, FORTRAN Programs, Examples,
Ellis Horwood, 1985,
ISBN: 0853127360,
LC: QA278.S68213.
Helmut Spaeth,
Cluster Analysis Algorithms for Data Reduction and Classification of Objects,
Ellis Horwood, 1980,
ISBN: 0470269464,
LC: QA278.S6813.
Helmuth Spaeth,
Mathematical Algorithms for Linear Regression,
Academic Press, 1991,
ISBN: 0-12-656460-4,
LC: QA278.2.S6313.
David Sparks,
Algorithm AS 58: Euclidean Cluster Analysis,
Applied Statistics,
Volume 22, Number 1, 1973, pages 126-130.
Amy Henderson Squillacote,
The ParaView Guide,
Kitware Inc, 2007,
ISBN13: 978-1-930934-21-4.
William Squire,
An Eficient Iterative Method for Numerical Evaluation of Integrals Over a Semi-infinite Range,
International Journal for Numerical Methods in Engineering,
Volume 10, Number 2, 1976, pages 478-484.
William Squire,
A Quadrature Method for Finite Intervals,
International Journal for Numerical Methods in Engineering,
Volume 10, Number 3, 1976, pages 708-712.
William Squire,
In Defense of Linear Quadrature Rules,
Computers and Mathematics with Applications,
Volume 7, Number 2, 1981, pages 147-149.
Richard Stallman, Roland Pesch, Stan Shebs,
Debugging with GDB: the GNU Source-Level Debugger,
GNU Press, 2002,
ISBN: 1882114884.
Richard Stallman,
Using GCC: The Gnu Compiler Collection Reference,
Free Software Foundation,
ISBN: 1-882114-39-6.
Richard Stanley,
Hipparchus, Plutarch, Schroeder, and Hough,
American Mathematical Monthly,
Volume 104, Number 4, April 1997, pages 344-350.
Dennis Stanton, Dennis White,
Constructive Combinatorics,
Springer, 1986,
ISBN: 0387963472,
LC: QA164.S79.
Carsten Steger,
On the calculation of arbitrary moments of polygons,
Technical Report FGBV-96-05,
Forschungsgruppe Bildverstehen, Informatik IX,
Technische Universitaet Muenchen, October 1996.
Kenneth Stephenson,
Introduction to Circle Packing, The Theory of Discrete Analytic Functions,
Cambridge, 2005,
ISBN: 0521823560,
LC: QA640.7S74.
Judith Stern, Robert Lettieri,
Quicktime 6 for Macintosh and Windows,
Peachpit Press, 2002,
ISBN: 0321127285,
LC: TR899.S7577.
Ian Stewart,
Easter is a Quasicrystal,
Scientific American,
Volume 284, Number 3, March 2001, pages 80-83.
Ian Stewart,
"A Neglected Number",
Scientific American,
Volume 274, Number 6, June 1996, pages 102-102.
Ian Stewart,
"Repealing the Law of Averages",
Scientific American,
Volume 278, Number 4, April 1998, pages 102-104.
Ian Stewart,
Math Hysteria,
Basic Books, 1997,
ISBN13: 978-0465072743
LC: QA95.S7255.
Ian Stewart,
Nature's Numbers: The Unreal Reality of Mathematics,
Oxford, 2004,
ISBN: 0198613369,
LC: QA93.S737.
Michael Stewart,
Cholesky factorization of semi-definite Toeplitz matrices.
Pete Stewart,
Algorithm 384: Eigenvalues and Eigenvectors of a Real Symmetric Matrix,
Communications of the ACM,
Volume 13, Number 6, June 1970, pages 369-371.
Pete Stewart,
Incorporating Origin Shifts into the Symmetric QR Algorithm for Symmetric Tridiagonal Matrices,
Communications of the ACM,
Volume 13, Number 6, June 1970, pages 365-367.
Pete Stewart,
A Modification of Davidon's Minimization Method to Accept Difference Approximations of Derivatives,
Journal of the ACM,
Volume 14, Number 1, January 1967, pages 72-83.
Pete Stewart,
Efficient Generation of Random Orthogonal Matrices With an Application to Condition Estimators,
SIAM Journal on Numerical Analysis,
Volume 17, Number 3, June 1980, pages 403-409.
Pete Stewart,
Introduction to Matrix Computations,
Academic Press, 1973,
ISBN13: 978-0126703504. LC: QA188.S7.
G W Stewart,
The Decomposition Approach to Matrix Computation,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 50-59.
Michael Still,
The Definitive Guide to ImageMagick,
Apress, 2005,
ISBN13: 978-1590595909.
Josef Stoer, Roland Bulirsch,
Introduction to Numerical Mathematics,
Springer, 2002,
ISBN: 038795452X,
LC: QA297.S8213.
Miroslav Stoyanov, Max Gunzburger, John Burkardt,
Pink Noise, 1/f^alpha Noise, and Their Effect on Solutions of Differential Equations,
International Journal for Uncertainty Quantification,
Volume 1, Number 3, pages 257-278, 2011.
Miro Stoyanov,
User Manual: TASMANIAN Sparse Grids,
ORNL Report, August 2013,
Oak Ridge National Laboratory.
Gilbert Strang, George Fix,
An Analysis of the Finite Element Method,
Cambridge, 1973,
ISBN: 096140888X,
LC: TA335.S77.
Gilbert Strang, Truong Nguyen,
Wavelets and Filter Banks,
Wellesley-Cambridge Press, 1997,
ISBN: 0-9614088-7-1,
LC: TK7872.F5S79 / QA403.3.S87
Julius Stratton, Philip Morse, Lan Jen Chu, Reina Hutner,
Elliptic Cylinder and Spheroidal Wave Functions,
Wiley, 1941,
LC: QC174.2.S78.
Arthur Stroud,
Approximate Calculation of Multiple Integrals,
Prentice Hall, 1971,
ISBN: 0130438936,
LC: QA311.S85.
Arthur Stroud, Don Secrest,
Gaussian Quadrature Formulas,
Prentice Hall, 1966,
LC: QA299.4G3S7.
Arthur Stroud,
A Fifth Degree Integration Formula for the n-Simplex,
SIAM Journal on Numerical Analysis,
Volume 6, Number 1, March 1969, pages 90-98.
Bjarne Stroustrup,
The C++ Programming Language,
Addison-Wesley, 2000,
ISBN: 0-201-70073-5,
LC: QA76.73.C153.S77.
Martin Stynes,
Numerical methods for convection-diffusion problems, or The 30 years war,
arXiv:1306.5172v1 [math.NA] 21 June 2013.
Allan Sultan,
CORDIC: How Hand Calculators Calculate,
The College Mathematics Journal,
Volume 40, Number 2, March 2009, pages 87-92.
Paul Swarztrauber,
Vectorizing the Fast Fourier Transforms,
in Parallel Computations,
edited by Garry Rodrigue,
Academic Press, 1982,
ISBN: 0125921012,
LC: QA76.6.P348.
Paul Swarztrauber,
A direct method for the discrete solution of separable elliptic equations,
SIAM Journal on Numerical Analysis,
Volume 11, 1974, pages 1136-1150.
Paul Swarztrauber,
Fast Fourier Transform Algorithms for Vector Computers,
Parallel Computing,
Volume 1, Number 1, August 1984, pages 45-63.
Paul Swarztrauber,
Symmetric FFT's,
Mathematics of Computation,
Volume 47, Number 175, July 1986, pages 323-346.
Paul Swarztrauber, Roland Sweet,
Efficient FORTRAN Subprograms for the Solution of Elliptic Equations,
NCAR Technical Report TN/IA-109,
National Center for Atmospheric Research, 1975.
Douglas Sweet,
The use of pivoting to improve the numerical performance of Toeplitz solvers,
In "Advanced Algorithms and Architectures for Signal Processing",
Edited by Jeffrey Speiser,
Proceedings SPIE 696, 1986, pages 8-18,
LC: TK5102.5.A32.
Roland Sweet,
A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimensions,
SIAM Journal on Numerical Analysis,
Volume 14, September 1977, pages 706-720.
Richard Swinbank, James Purser,
Fibonacci grids: A novel approach to global modelling,
Quarterly Journal of the Royal Meteorological Society,
Volume 132, Number 619, July 2006 Part B, pages 1769-1793.
James Sylvester,
Question 7382, Mathematical Questions with their Solutions,
Educational Times,
Volume 41, 1884, page 21.
Gabor Szego,
Orthogonal Polynomials,
American Mathematical Society, 1992,
ISBN: 0821810235,
LC: QA3.A5.v23.
Jun Takeuchi, Yukio Kosugi,
Neural network represenation of the finite element method,
Neural Networks,
Volume 7, Number 2, 1994, pages 389-395.
Steve Talbot,
Managing Projects with Make,
O'Reilly, 1990,
ISBN: 0-937-175-18-8.
Olga Taussky, Marvin Marcus,
Eigenvalues of finite matrices,
in Survey of Numerical Analysis,
edited by John Todd,
McGraw-Hill, 1962,
LC: QA297.T6.
Olga Taussky, John Todd,
Another look at a matrix of Mark Kac,
Linear Algebra and Its Applications,
Volume 150, May 1991, pages 341-360.
Mark Taylor, Beth Wingate, Rachel Vincent,
An Algorithm for Computing Fekete Points in the Triangle,
SIAM Journal on Numerical Analysis,
Volume 38, Number 5, January 2000, pages 1707-1720.
Tecplot, Inc,
TECPLOT Reference Manual,
Version 10, Release 4,
Tecplot, Inc, 2005.
Tecplot, Inc,
TECPLOT User's Manual,
Version 10,
Tecplot, Inc, 2005.
Nico Temme,
On the numerical evaluation of the ordinary Bessel function of the second kind,
Journal of Computational Physics,
Volume 21, Number 3, July 1976, pages 343-350.
Eric Thiemard,
An Algorithm to Compute Bounds for the Star Discrepancy,
Journal of Complexity,
Volume 17, Number 4, December 2001, pages 850-880.
Benku Thomas,
The Runge-Kutta Methods,
BYTE,
Volume 11, Number 4, April 1986, pages 191-192.
Joe Thompson, Bharat Soni, Nigel Weatherill,
Handbook of Grid Generation,
CRC Press, 1999,
ISBN: 0849326877,
LC: QA377.H3183.
Krishnaiyan Thulasiraman, M Swamy,
Graphs: Theory and Algorithms,
John Wiley, 1992,
ISBN: 0471513563,
LC: QA166.T58.
James Tisdall,
Beginning Perl for Bioinformatics,
O'Reilly, 2001,
ISBN: 0-596-00080-4,
LC: QA76.73.P22.T57.
John Todd,
Basic Numerical Mathematics,
Volume 2: Numerical Algebra,
Birkhauser, 1980,
ISBN: 0817608117,
LC: QA297.T58.
Aimo Toern, Antanas Zilinskas,
Global Optimization,
Lecture Notes in Computer Science, Number 350,
Springer, 1989,
ISBN13: 978-0387508719,
LC: QA402.T685
FK Tomlin, LB Smith,
Remark on Algorithm 178: Direct Search,
Communications of the ACM,
Volume 12, Number 11, November 1969, page 637-638.
Yoshiaki Toyoda,
A simplified algorithm for obtaining approximate solutions to zero-one programming problems,
Management Science,
Volume 21, 1975, pages 1417-1427.
Wade Trappe, Lawrence Washington,
Introduction to Cryptography with Coding Theory,
Prentice Hall, 2005,
ISBN13: 978-0131862395,
LC: QA268.T73.
Joseph Traub,
Iterative Methods for the Solution of Equations,
Prentice Hall, 1964,
ISBN: 0828403120,
LC: QA297.T7.
Lloyd Trefethen,
Spectral Methods in MATLAB,
SIAM, 2000,
ISBN: 0898714656,
LC: QA377.T65.
Lloyd Trefethen,
Is Gauss Quadrature Better Than Clenshaw-Curtis?,
SIAM Review,
Volume 50, Number 1, March 2008, pages 67-87.
Lloyd Trefethen,
Pseudospectra of matrices,
in Numerical Analysis 1991,
Proceedings of the 14th Dundee Conference,
DF Griffiths and GA Watson, editors,
Pitman Research Notes in Mathematics, volume 260,
Longman Scientific and Technical, Essex, UK, 1992, pages 234-266,
ISBN: 0582089085,
LC: QA3.P56v260.
Lloyd Trefethen, David Bau,
Numerical Linear Algebra,
SIAM, 1997,
ISBN: 0-89871-361-7,
LC: QA184.T74.
Nick Trefethen,
Numerical Computation of the Schwarz-Christoffel Transformation,
SIAM Journal of Scientific and Statistical Computing,
Volume 1, 1980, pages 82-102.
William Trench,
Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices,
SIAM Journal on Matrix Analysis and Applications,
Volume 10, Number 2, April 1989, pages 135-146.
William Trench,
Spectral decomposition of Kac-Murdock-Szego matrices,
Unpublished research paper.
Mario Triola,
Elementary Statistics,
Addison Wesley, 2009,
ISBN13: 978-0321500243,
LC: QA276.12.T76.
Hale Trotter,
Algorithm 115: PERM,
Communications of the ACM,
Volume 5, Number 8, August 1962, pages 434-435.
Brian Tung,
Figure Eight in the Sky, a new perspective on an old fascination,
Astronomical Games, August 2002,
http://www.astronomycorner.net/games/analemma.html.
Alan Turing,
A Method for the Calculation of the Zeta Function,
Proceedings of the London Mathematical Society,
Volume 48, 1943, pages 180-197.
Greg Turk,
Generating Random Points in a Triangle,
in Graphics Gems I,
edited by Andrew Glassner,
AP Professional, 1990,
ISBN: 0122861663,
LC: T385.G697.
Herbert Turnbull,
The Theory of Determinants, Matrices, and Invariants,
Blackie, 1929,
LC: QA191.T8.
Richard Turner,
Inverse of the Vandermonde Matrix with Applications,
NASA Technical Note TN D-3547, 1966.
Evgeny Tyrtyshnikov,
Cauchy-Toeplitz matrices and some applications,
Linear Algebra and Its Applications,
Volume 149, 15 April 1991, pages 1-18.
Johannes vanderCorput,
Verteilungsfunktionen I & II,
Proceedings of the Koninklijke Nederlandsche Akademie van Wetenschappen,
Volume 38, 1935, pages 813-820, pages 1058-1066.
Henk vanderVorst,
Krylov Subspace Iteration,
Computing in Science and Engineering,
Volume 2, Number 1, January/February 2000, pages 32-37.
Hugo vandeVel,
A method for computing a root of a single nonlinear equation, including its multiplicity,
Computing,
Volume 14, Number 1-2, March 1975, pages 167-171.
Eric VanDeVelde,
Concurrent Scientific Programming,
Springer, 1994,
ISBN: 0-387-94195-9,
LC: QA76.58.V35.
Allen VanGelder,
Efficient Computation of Polygon Area and Polyhedron Volume,
in Graphics Gems V,
edited by Alan Paeth,
AP Professional, 1995,
ISBN: 0125434553,
LC: T385.G6975.
Jack vanLint, Richard Wilson,
A Course in Combinatorics,
Cambridge, 1992,
ISBN: 0-521-42260-4,
LC: QA164.L56.
Charles VanLoan,
Introduction to Scientific Computing,
Prentice Hall, 1997,
ISBN: 0-13-125444-8,
LC: QA76.9.M35V375.
Charles VanLoan, K-Y Daisy Fan,
Insight Through Computing,
SIAM, 2010,
ISBN13: 978-0-898716-91-7,
LC: QA297.V25.
James Varah,
A generalization of the Frank matrix,
SIAM Journal on Scientific and Statistical Computing,
Volume 7, Number 3, July 1986, pages 835-839.
James Varah,
The Prolate Matrix,
Linear Algebra and Its Applications,
Volume 187, 1 July 1993, pages 269-278.
Ilan Vardi,
Computational Recreations in Mathematica,
Addison Wesley,
ISBN: 0-201-52989-0,
LC: QA76.95.V36.
Richard Varga,
Minimal Gerschgorin Sets,
Pacific Journal of Mathematics,
Volume 15, 1965, pages 719-729.
Daniel Velleman, Gregory Call,
Permutations and Combination Locks,
Mathematics Magazine,
Volume 68, Number 4, October 1995, pages 243-253.
William Venables, David Smith, and the R Development Core Team,
An Introduction to R,
Network Theory, Ltd, 2009,
ISBN: 978-0954612085,
LC: QA276.4.V45.
Ruediger Verfuerth,
A posteriori error estimates for finite element discretizations of the heat equation,
CALCOLO,
Volume 40, 2003, pages 195-212.
Jan Verschelde,
PHCPACK: A general-purpose solver for polynomial systems by homotopy continuation,
ACM Transactions on Mathematical Software,
Volume 25, Number 2, June 1999, pages 251-276.
Scott Vetter, Yukiya Aoyama, Jun Nakano,
RS/600 SP: Practical MPI Programming,
IBM Redbooks, 1999,
ISBN: 0738413658.
Lara Vigneron, Romain Boman, Jean-Philippe Ponthot, Pierre Robe, Simon Warfield, Jacques Verly,
Enhanced FEM-based modeling of brain shift deformation in Image-Guided Neurosurgery,
Journal of Computational and Applied Mathematics,
Volume 234, 2010, pages 2046-2053.
Peter Vinten-Johansen, Howard Brody, Nigel Paneth, Stephen Rachman, Michael Rip,
Cholera, Chloroform, and the Science of Medicine: A Life of John Snow,
Oxford University Press, 2003,
ISBN: 019513544X,
LC: RA649.5.S66.S647.
VisIt Getting Started Manual,
Technical Report: UCRL-MA-148506-REV-1,
Version 1.1,
February 2003.
Divakar Viswanath,
Random Fibonacci sequences and the number 1.13198824,
Mathematics of Computation,
Volume 69, Number 231, July 2000, pages 1131-1155.
Jack Volder,
The CORDIC Computing Technique,
IRE Transactions on Electronic Computers,
Volume 8, Number 3, 1959, pages 330-334.
Jack Volder,
The Birth of CORDIC,
Journal of VLSI Signal Processing Systems,
Volume 25, Number 2, June 200, pages 101-105.
Jasper Vrugt, CJF ter Braak, CGH Diks, Bruce Robinson, James Hyman, Dave Higdon,
Accelerating Markov Chain Monte Carlo Simulation by Differential Evolution with Self-Adaptive Randomized Subspace Sampling,
International Journal of Nonlinear Sciences and Numerical Simulation,
Volume 10, Number 3, March 2009, pages 271-288.
W3C, Scalable Vector Graphics 1.1 (Second Edition), 16 August 2011, http://www.w3.org/TR/SVG11/
Hans-Joerg Wacker, Erich Zarzer, Werner Zulehner,
Optimal Stepsize Control for the Globalized Newton Method,
in Continuation Methods,
edited by Hans-Joerg Wacker,
Academic Press, 1978,
ISBN: 0127292500,
LC: QA1.S899.
Bernt Wahl, Peter VanRoy, Michael Larsen, Eric Kampman,
Exploring Fractals on the Mac,
Addison Wesley, 1995,
ISBN: 0201626306,
LC: QA614.86.W34.
Pamela Walatka, Pieter Buning, Larry Pierce, Patricia Elson,
PLOT3D User's Guide,
Technical Report TM 101067,
NASA, March 1990.
Max Waldmeier,
The Sunspot-Activity in the Years 1610-1960,
Shulthess, 1961,
LC: QB525.W34.
Joerg Waldvogel,
Fast Construction of the Fejer and Clenshaw-Curtis Quadrature Rules,
BIT Numerical Mathematics,
Volume 43, Number 1, 2003, pages 1-18.
Stephen Wandzura, Hong Xiao,
Symmetric Quadrature Rules on a Triangle,
Computers and Mathematics with Applications,
Volume 45, Number 12, June 2003, pages 1829-1840.
Junping Wang, Yanqiu Wang, Xiu Ye,
A robust numerical method for Stokes equations based on divergence-free H(div) finite element methods,
SIAM Journal on Scientific Computing,
Volume 31, Number 4, 2009, pages 2784-2802.
Xiaoqun Wang, Kai-Tai Fang,
The Effective Dimension and quasi-Monte Carlo Integration,
Journal of Complexity,
Volume 19, pages 101-124, 2003.
Yang Wang, Raghurama Reddy, Roberto Gomez, Junwoo Lim, Sergiu Sanielevici, Jaideep Ray, James Sutherland, Jackie Chen,
A General Approach to Creating Fortran Interface for C++ Application Libraries,
Current Trends in High Performance Computing and its Applications, pages 145-154,
edited by Wu Zhang, Zhangxin Chen, Roland Glowinski, Weiqin Tong,
Springer, 2005,
ISBN13: 978-3540257851,
LC: QA76.88.I5663.
Robert Ward,
Numerical computation of the matrix exponential with accuracy estimate,
SIAM Journal on Numerical Analysis,
Volume 14, Number 4, September 1977, pages 600-610.
Grzegorz Wasilkowski, Henryk Wozniakowski,
Explicit cost bounds of algorithms for multivariate tensor product problems,
Journal of Complexity,
Volume 11, Number 1, March 1995, pages 1-56.
Michael Waterman,
Introduction to Computational Biology,
Chapman and Hall, 1995,
ISBN: 0412993910,
LC: QH438.4.M33.W38.
Andrew Wathen,
Realistic eigenvalue bounds for the Galerkin mass matrix,
IMA Journal of Numerical Analysis,
Volume 7, Number 4, October 1987, pages 449-457.
Andrew Watt,
Designing SVG Web Graphics,
New Riders, 2001,
ISBN: 0-7357-1166-6,
LC: T385.W3795.
Clayton Webster,
Sparse Grid Stochastic Collocation Techniques for the Numerical Solution of Partial Differential Equations with Random Input Data,
PhD Dissertation,
Mathematics Department,
Florida State University, May 2007.
Eric Weisstein,
CRC Concise Encyclopedia of Mathematics,
CRC Press, 2002,
Second edition,
ISBN: 1584883472,
LC: QA5.W45.
Hans-Joerg Wenz,
Interpolation of Curve Data by Blended Generalized Circles,
Computer Aided Geometric Design,
Volume 13, Number 8, November 1996, pages 673-680.
Josie Wernecke,
The Inventor Mentor,
Programming Object-Oriented 3D Graphics with Open Inventor, Release 2,
Addison Wesley, 1994,
ISBN: 0201624958,
LC: QA76.64.W48.
Joan Westlake,
A Handbook of Numerical Matrix Inversion and Solution of Linear Equations,
John Wiley, 1968,
ISBN13: 978-0471936756,
LC: QA263.W47.
Brian Wichmann, David Hill,
Algorithm AS 183: An Efficient and Portable Pseudo-random Number Generator,
Applied Statistics,
Volume 31, Number 2, 1982, pages 188-190.
Michael Wichura,
Algorithm AS 241: The Percentage Points of the Normal Distribution,
Applied Statistics,
Volume 37, Number 3, 1988, pages 477-484.
Herbert Wilf,
Some New Aspects of the Coupon Collector's Problem,
SIAM Review,
Volume 48, Number 3, September 2006, pages 549-565.
Martin Wilk, Ram Gnanadesikan, Marilyn Huyett,
Probability Plots for the Gamma Distribution,
Technometrics,
Volume 4, Number 1, 1962, pages 1-15,
Barry Wilkinson, Michael Allen,
Parallel Programming: Techniques and Applications using Networked Workstations and Parallel Computers,
Pearson/Prentice Hall, 2005,
ISBN: 0-13-140563-2,
LC: QA76.642.W54.
James Wilkinson,
Error Analysis of Direct Methods of Matrix Inversion,
Journal of the ACM,
Volume 8, Number 3, July 1961, pages 281-330.
James Wilkinson,
Error analysis of floating-point computation,
Numerische Mathematik,
Volume 2, 1960, pages 319-340.
James Wilkinson,
Rounding Errors in Algebraic Processes,
Prentice Hall, 1963,
ISBN: 0-486-67999-3,
LC: QA76.5.W53.
James Wilkinson,
The Algebraic Eigenvalue Problem,
Oxford University Press, 1988,
ISBN: 0198534183,
LC: QA218.W5.
James Wilkinson, Christian Reinsch,
Handbook for Automatic Computation,
Volume II, Linear Algebra, Part 2,
Springer, 1971,
ISBN: 0387054146,
LC: QA251.W67.
Barry Wilkinson, Michael Allen,
Parallel Programming: Techniques and Applications Using Networked Workstations and Parallel Computers,
Prentice Hall,
ISBN: 0-13-140563-2,
LC: QA76.642.W54.
Anthony Williams,
Optimizing Math-Intensive Applications with Fixed-Point Arithmetic,
Dr Dobb's Journal,
Volume 33, Number 4, April 2008, pages 38-43.
Thomas Williams, Colin Kelley, John Campbell, David Kotz, Russell Lang,
gnuplot, An Interactive Plotting Program,
The Free Software Foundation, 1990.
Robin Wilson,
The Sudoku Epidemic,
Focus,
Volume 26, Number 1, January 2006, pages 5-7.
Bruno Witte,
Algorithm 332: Jacobi Polynomials,
Communications of the ACM,
Volume 11, Number 6, June 1968, page 436.nedit
Stephen Wolfram,
The Mathematica Book,
Fourth Edition,
Cambridge University Press, 1999,
ISBN: 0-521-64314-7,
LC: QA76.95.W65.
Stephen Wolfram,
A New Kind of Science,
Wolfram Media, 2002,
ISBN13: 978-1579550080,
LC: QA267.5.C45.W67.
ML Wolfson, HV Wright,
Algorithm 160: Combinatorial of M Things Taken N at a Time,
Communications of the ACM,
Volume 6, Number 4, April 1963, page 161.
Mason Woo, Jackie Neider, Tom Davis,
OpenGL Programming Guide,
Addison-Wesley, 1997,
ISBN: 0-201-46138-2,
LC: T385.N435.
K Wright,
Chebyshev collocation methods for ordinary differential equations,
The Computer Journal,
Volume 6, Number 4, 1964, pages 358-365.
Richard Wright, Michael Sweet,
OpenGL Superbible,
Third Edition,
Sams, 2004,
ISBN: 0672326019,
LC: T385.W73.
Xindong Wu, Vipin Kumar, J Ross Quinlan, Joydeep Ghosh, Qiang Yang, Hiroshi Motoda, Geoffrey McLachlan, Angus Ng, Bing Lu, Philip Yu, Zhi-Hua Zhou, Michael Steinbach, David Hand, Dan Steinberg,
Top 10 algorithms in data mining,
Knowledge and Information Systems,
Volume 14, Number 1, January 2008, pages 1-37.
Guenter Wyszecki, Walter Stiles,
Color Science: Concepts and Methods, Quantitative Data and Formulas,
John Wiley, 1967,
ISBN: 0-471-02106-7,
LC: QC495.W88.
Dongbin Xiu, George Karniadakis,
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos,
Computer Methods in Applied Mechanics and Engineering,
Volume 191, 2002, pages 4927-4948.
Dongbin Xiu,
Numerical integration formulas of degree two,
Applied Numerical Mathematics,
Volume 58, 2008, pages 1515-1520.
Dongbin Xiu,
Numerical Methods for Stochastic Computations: A Spectral Method Approach,
Princeton, 2010,
ISBN13: 978-0-691-14212-8,
LC: QA274.23.X58.
Praveen Yadav, Krishnan Suresh,
Large Scale Finite Element Analysis via Assembly-Free Deflated Conjugate Gradient,
Journal of Computing and Information Science in Engineering,
Volume 14, Number 4, December 2014, 9 pages.
Douglas Young,
X Window Systems Programming and Applications with Xt,
Prentice Hall, 1994,
ISBN: 0131238035,
LC: QA76.76.W56.Y67.
Douglas Young,
Object Oriented Programming with C++ and OSF/Motif,
Prentice Hall, 1995,
ISBN: 0136302521,
LC: QA76.64.Y68.
JC Young, Christoph Minder,
Algorithm AS 76: An Algorithm Useful in Calculating Non-Central T and Bivariate Normal Distributions,
Applied Statistics,
Volume 23, Number 3, 1974, pages 455-457.
John Young, Albert Schy, Katherine Johnson,
Prediction of Jump Phenomena in Aircraft Maneuvers, Including Nonlinear Aerodynamic Effects,
Journal of Guidance and Control,
Volume 1, Number 1, 1978, pages 26-31.
Christoph Zenger,
Sparse Grids,
in Parallel Algorithms for Partial Differential Equations, Proceedings of the sixth GAMM-Seminar, Kiel, 1990,
edited by Wolfgang Hackbusch,
Vieweg Verlag, 1991,
LC: QA377.G23.
Christoph Zenger,
Multilevel Gauss-Seidel-algorithms for full and sparse grid problems,
Computing,
Volume 50, Number 2, 1993, pages 127-148.
Shanjie Zhang, Jianming Jin,
Computation of Special Functions,
Wiley, 1996,
ISBN: 0-471-11963-6
LC: QA351.C45.
Gerhard Zielke,
Testmatrizen mit maximaler Konditionszahl,
(Test matrices with maximal condition number),
Computing,
Volume 13, Number 1, March 1974, pages 33-54.
Olgierd Zienkiewicz,
The Finite Element Method,
Sixth Edition,
Butterworth-Heinemann, 2005,
ISBN: 0750663200,
LC: TA640.2.Z54.
Zahari Zlatev, Kjeld Schaumburg, Jerzy Wasniewski,
A Testing Scheme for Subroutines Solving Large Linear Problems,
Computers and Chemistry,
Volume 5, Number 2-3, 1981, pages 91-100.
Zahari Zlatev, Jerzy Wasniewski, Kjeld Schaumburg,
Y12M, Solution of Large and Sparse Systems of Linear Algebraic Equations,
Lecture Notes in Computer Science, Volume 121,
Springer, 1981,
ISBN13: 978-3540108740,
LC: QA188.Z5.
Daniel Zwillinger, editor,
CRC Standard Mathematical Tables and Formulae,
30th Edition,
CRC Press, 1996,
ISBN: 0-8493-2479-3,
LC: QA47.M315.
Daniel Zwillinger,
Handbook of Differential Equations,
Academic Press, 1997,
ISBN: 0127843965,
LC: QA371.Z88.
Daniel Zwillinger, Steven Kokoska,
Standard Probability and Statistical Tables,
CRC Press, 2000,
ISBN: 1-58488-059-7,
LC: QA273.3.Z95.

You can return to the HTML web page.

Last revised on 18 August 2016.