References
This is a collection of articles and books that I have
had need to reference.
-
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.
-
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.
-
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.
-
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.
-
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 Anderson,
Gaussian Quadrature Formulae for the integral from 0 to 1 of
-ln(X) f(X) dx,
Mathematics of Computation,
Volume 19, Number 91, 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.
-
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.
-
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.
-
David Arnold, John Polking,
Ordinary Differential Equations using Matlab,
Second Edition,
Prentice Hall, 1999,
ISBN: 0130113816,
LC: QA371.D37.P65.
-
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.
-
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.
-
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.
-
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, 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.
-
Scott Bailey, Theodore Kim, Robert Strichartz,
Inside the Levy Dragon,
American Mathematical Monthly,
Volume 109, Number 8, October 2002, pages 689-703.
-
Satish Balay, Kris Buschelman, Victor Eijkhout, William Gropp,
Dinesh Kaushik, Matt Knepley, Lois Curfman McInnes, Barry Smith,
Hong Zhang,
The PETSc Users Manual,
Technical Report ANL-95/11, Revision 2.3.0,
Argonne National Laboratory, 1995.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
Matthias Beck, Sinai Robins,
Computing the Continuous Discretely,
Springer, 2006,
ISBN13: 978-0387291390,
LC: QA640.7.B43.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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, 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.
-
SF Bockman,
Generalizing the Formula for Areas of Polygons to Moments,
American Mathematical Society Monthly,
Volume 96, Number 2, February 1989, pages 131-132.
-
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.
-
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.
-
Guenter Born,
The File Formats Handbook,
ITP, 1995,
ISBN: 1850321175.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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 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,
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John Burkardt, Max Gunzburger, Hyung-Chun Lee,
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Fully dynamic Delaunay triangulation in logarithmic expected
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Robust and efficient implementation of the Delaunay tree,
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Noel deVilliers, David Glasser,
A continuation method for nonlinear regression,
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Non-Uniform Random Variate Generation,
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Janet Donaldson, Peter Tryon,
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Pathological Functions for Newton's Method,
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An example of ill-conditioning in the numerical solution of
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Thomas Dornseifer,
Diskretisierung allgemeiner elliptischer Differentialgleichungen in
krummlinigen Koordinatensystemen auf dŸnnen Gittern,
(Discretization of general elliptic differential equations in
curvilinear coordinate systems on sparse grids),
PhD Thesis,
Mathematics Department,
Technical University of Munich, 1997.
-
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.
-
Qiang Du, Vance Faber, Max Gunzburger,
Centroidal Voronoi Tessellations: Applications and Algorithms,
SIAM Review,
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-
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.
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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.
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Paul DuBois,
Using CSH and TCSH,
O'Reilly, 1995,
ISBN: 1-56592-132-1,
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Augustin Dubrulle,
A short note on the implicit QL algorithm for symmetric
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David Duce, editor,
Portable Network Graphics (PNG) Specification,
Second Edition.
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-
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,
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
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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.
-
Patricia Eberlein,
A Two-Parameter Test Matrix,
Mathematics of Computation,
Volume 18, Number 86, April 1964, pages 296-298.
-
Alan Edelman, Eric Kostlan,
The road from Kac's matrix to Kac's random polynomials.
in Proceedings of the Fifth SIAM Conference on
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SIAM, 1994,
ISBN: 0898713366,
LC: QA184.S58.
-
Herbert Edelsbrunner,
Geometry and Topology for Mesh Generation,
Cambridge, 2001,
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LC: QA377.E36.
-
Bo Einarsson,
Algorithm 418:
Calculation of Fourier Integrals,
Communications of the ACM,
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Sylvan Elhay, Jaroslav Kautsky,
Algorithm 655:
IQPACK,
FORTRAN Subroutines for the Weights of Interpolatory Quadrature,
ACM Transactions on Mathematical Software,
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-
Miles Ellis, Ivor Philips, Thomas Lahey,
Fortran90 Programming,
Addison-Wesley, 1994,
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LC: QA76.73.F25E435.
-
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,
ACM Transactions on Mathematical Software,
http://www.cs.umd.edu/~elman/ifiss/ifiss_guide.pdf.
-
Gisela Engeln-Muellges, Frank Uhlig,
Numerical Algorithms with C,
Springer, 1996,
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LC: QA297.E56213.
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Hermann Engels,
Numerical Quadrature and Cubature,
Academic Press, 1980,
ISBN: 012238850X,
LC: QA299.3E5.
-
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.
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Thomas Ericson, Victor Zinoviev,
Codes on Euclidean Spheres,
Elsevier, 2001,
ISBN: 0444503293,
LC: QA166.7E75.
-
Gwynne Evans,
Practical Numerical Integration,
Wiley, 1993,
ISBN: 047193898X,
LC: QA299.3E93.
-
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.
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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.
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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.
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Erwin Fehlberg,
Low-order Classical Runge-Kutta Formulas with Stepsize Control,
Technical Report R-315,
NASA, 1969.
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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.
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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.
-
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.
-
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.
-
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.
-
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,
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-
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.
-
WL 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, 1958, pages 378-392.
-
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.
-
Ferdinand Freudenstein, Bernhard Roth,
Numerical Solutions of Nonlinear Equations,
Journal of the ACM,
Volume 10, Number 4, October 1963, pages 550-556.
-
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, 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, 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.
-
Wayne Fullerton,
Algorithm 435:
Modified Incomplete Gamma Function,
Communications of the ACM,
Volume 15, Number 11, November 1972, pages 993-995.
-
Efstratios Gallopoulos, Youcef Saad,
Efficient solution of parabolic equations by Krylov
approximation methods,
Technical Report TR90.14,
Research Institute for Advanced Computer Science, 1990.
-
Jochen Garcke, Michael Griebel,
Classification with Anisotropic Sparse Grids Using Simplicial
Basis Functions,
Intelligent Data Analysis,
Volume 6, Number 6, 2002, pages 483-502.
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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,
The Mathematical Circus,
Mathematics Association of America,
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LC: QA95.G287.
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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,
Algorithm 542:
Incomplete Gamma Functions,
ACM Transactions on Mathematical Software,
Volume 5, Number 4, December 1979, pages 382-489.
-
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,
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LC: QA404.5 G3555.
-
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,
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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,
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-
Alan Genz,
A Package for Testing Multiple Integration Subroutines,
in Numerical Integration:
Recent Developments, Software and Applications,
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Reidel, 1987, pages 337-340,
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LC: QA299.3.N38.
-
Alan Genz, Ronald Cools,
An Adaptive Cubature Algorithm for Simplices,
ACM Transactions on Mathematical Software,
Volume 29, Number 3, September 2003, pages 297-308.
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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,
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Alan George, Joseph Liu,
Computer Solution of Large Sparse Positive Definite Matrices,
Prentice Hall, 1981,
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LC: QA188.G46.
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Priamos Georgiades,
Signed Distance From Point To Plane,
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LC: T385.G6973.
-
Thomas Gerstner, Michael Griebel,
Numerical Integration Using Sparse Grids,
Numerical Algorithms,
Volume 18, Number 3-4, January 1998, pages 209-232.
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Thomas Gerstner, Michael Griebel,
Dimension-adaptive tensor-product quadrature,
Computing,
Volume 71, Number 1, August 2003, pages 65-87.
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Roger Ghanem, Pol Spanos
Stochastic Finite Elements: A Spectral Approach,
Revised Edition,
Dover, 2003,
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LC: TA347.F5.G56.
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Alan Gibbons,
Algorithmic Graph Theory,
Cambridge University Press, 1985,
ISBN: 0-5212-8881-9,
LC: QA166.G53.
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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.
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Edward Giorgianni, Thomas Madden,
Digital Color Management, Encoding Solutions,
Addison Wesley, 1998,
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LC: TA1637.G56.
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Dan Givoli,
The Top 10 Computational Methods of the 20th Century,
IACM Expressions,
Number 11, September 2001, pages 5-9.
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Andreas Glaser, Xiangtao Liu, Vladimir Rokhlin,
A fast algorithm for the calculation of the roots of special functions,
SIAM Journal on Scientific Computing,
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Darren Glass, Philip Lowry,
Quasigeometric Distributions and Extra Inning Baseball Games,
Mathematics Magazine,
Volume 81, Number 2, April 2008, pages 127-137.
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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.
-
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,
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Jonas Gomes, Luiz Velho,
Image Processing for Computer Graphics,
Springer, 1997,
ISBN: 0387948546,
LC: T385.G65.
-
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.
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Brian Gough,
An Introduction to GCC,
Network Theory Ltd,
ISBN: 0-9541617-9-3.
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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.
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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.
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Ronald Graham, Neil Sloane,
Anti-Hadamard Matrices,
Linear Algebra and Its Applications,
Volume 62, November 1984, pages 113-137.
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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,
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LC: QA263 G862.
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Michael Griebel, Thomas Dornseifer, Tilman Neunhoeffer,
Numerical Simulation in Fluid Dynamics,
SIAM, 1998,
ISBN13: 978-0-898713-98-5,
LC: QA911.G718.
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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.
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Arthur Griffith,
GCC: The Complete Reference,
McGrawHill,
ISBN: 0-07-222405-3,
LC: QA76.76.C65.G75.
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Paul Griffiths, David Hill,
Applied Statistics Algorithms,
Horwood, 1985,
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LC: QA276.4.A57.
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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,
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LC: QA76.642.M65.
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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.
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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.
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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.
-
David Gunter, Steven Burnett,
Client/Server Programming with RPC and DCE,
Que, 1995,
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LC: QA76.9.C55.G86.
-
Max Gunzburger,
Finite Element Methods for Viscous Incompressible Flows,
A Guide to Theory, Practice, and Algorithms,
Academic Press, 1989,
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LC: TA357.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, 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.
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Lester Haar, John Gallagher, George Kell,
NBS/NRC Steam Tables:
Thermodynamic and Transport Properties and Computer Programs
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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.
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Louis Hageman, David Young,
Applied Iterative Methods,
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Algorithm 247:
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John Hammersley,
Monte Carlo methods for solving multivariable problems,
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Kenneth Hanson,
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Richard Hanson,
Least Squares with Bounds and Linear Constraints,
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Frank Harary,
Graph Theory,
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Douglas Hardin, Edward Saff,
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McLaren's Improved Snub Cube and Other New Spherical Designs
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Harry Harman,
Modern Factor Analysis,
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Ralph Hartley,
A More Symmetrical Fourier Analysis Applied to Transmission
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How To Avoid Yourself,
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The Easiest Hard Problem,
American Scientist,
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Brian Hayes,
The Vibonacci Numbers,
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Brian Hayes,
Third Base,
American Scientist,
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Why W?,
American Scientist,
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Brian Hayes,
Unwed Numbers,
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Algorithm AS 6:
Triangular decomposition of a symmetric matrix,
Applied Statistics,
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-
Michael Healy,
Algorithm AS 7:
Inversion of a Positive Semi-Definite Symmetric Matrix,
Applied Statistics,
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Michael Hebden,
An Algorithm for Minimization Using Exact Second Derivatives,
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Theoretical Physics Division,
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Peter Heelekalek,
On Correlation Analysis of Pseudorandom Numbers,
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LC: Q183.9.M67.
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Peter Heelekalek, Harald Niederreiter,
The Weighted Spectral Test: Diaphony,
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Volume 8, Number 1, January 1998, pages 43-60.
-
Peter Heelekalek, Hannes Leeb,
Dyadic Diaphony,
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Volume 80, Number 2, 1997, pages 187-196.
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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.
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Sandra Hempel,
The Strange Case of the Broad Street Pump,
University of California, 2007,
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LC: RA644.C3.H46.
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Lofton Henderson, Anne Mumford,
The Computer Graphics Metafile,
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LC: T385.H46.
-
Paul Hennion,
Algorithm 77:
Interpolation, Differentiation and Integration,
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Mark Herkommer,
Number Theory, A Programmer's Guide,
McGraw Hill, 1999,
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John Herndon,
Algorithm 52:
A Set of Test Matrices,
Communications of the ACM,
Volume 4, Number 4, April 1961, page 180.
-
Kathie Hiebert,
A Comparison of Software Which Solves Systems of Nonlinear
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Sandia National Laboratory, 1980.
-
Des Higgins,
Sequence ordinations: a multivariate analysis approach
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CABIOS,
Volume 8, 1992, pages 15-22.
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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.
-
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,
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Nicholas Higham,
Accuracy and Stability of Numerical Algorithms,
SIAM, 1996,
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LC: QA297.H53.
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Nicholas Higham,
Stability analysis of algorithms for solving confluent
Vandermonde-like systems,
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Volume 11, Number 1, January 1990, pages 23-41.
-
Nicholas Higham, Desmond Higham,
Large growth factors in Gaussian elimination with pivoting,
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Volume 10, Number 2, April 1989, pages 155-164.
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Francis Hildebrand,
Introduction to Numerical Analysis,
Dover, 1987,
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LC: QA300.H5.
-
David Hill,
Algorithm AS 66:
The Normal Integral,
Applied Statistics,
Volume 22, Number 3, 1973, pages 424-427.
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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,
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-
Frederick Hillier,
Efficient heuristic procedure for integer linear programming
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Operations Research,
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-
David Himmelblau,
Applied Nonlinear Programming,
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LC: T57.8.H55.
-
Alan Hindmarsh,
ODEPACK, a Systematized Collection of ODE Solvers,
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LC: Q172.S35.
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Dorit Hochbaum, David Shmoys,
A best possible heuristic for the K-center problem,
Mathematics of Operations Research,
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-
Roger Hockney,
A fast direct solution of Poisson's equation using Fourier Analysis,
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-
Forrest Hoffman,
Message Passing with MPI and PVM,
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Karla Hoffman, Douglas Shier,
Algorithm 564:
A Test Problem Generator for Discrete Linear L1
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ACM Transactions on Mathematical Software,
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-
Douglas Hofstadter,
Goedel, Escher, Bach,
Basic Books, 1979,
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LC: QA9.8H63.
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John Holte,
Carries, Combinatorics, and an Amazing Matrix,
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Greg Hood, John Burkardt, Greg Foss,
Visualizing the Visual System,
Neurocomputing,
Volume 32-33(1-4), 2000, pages 801-808.
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Robert Hooke, Terry Jeeves,
Direct Search Solution of Numerical and Statistical Problems,
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Roger Horn, Charles Johnson,
Matrix Analysis,
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Alston Householder, John Carpenter,
The singular values of involutory and of idempotent matrices,
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John Howell,
Algorithm 359:
Factorial Analysis of Variance,
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-
Lawrence Huber, Jacqueline Meulman, Willem Heiser,
Two Purposes for Matrix Factorization: A Historical Appraisal,
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David Huddleston,
Development of a Free-Jet Forebody Simulator Design
Optimization Method,
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Arnold Engineering Development Center,
Arnold AFB, December 1990.
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Thomas Hull, Wayne Enright, BM Fellen, Arthur Sedgwick,
Comparing numerical methods for ordinary differential equations,
SIAM Journal on Numerical Analysis,
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-
-
Rex Hurst, Robert Knop,
Algorithm 425:
Generation of Random Correlated Normal Variables,
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-
Oscar Ibarra, Chul Kim,
Fast approximation algorithms for the knapsack and sum of
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Journal of the ACM,
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-
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,
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-
International Electrotechnical Commission,
The sRGB standard,
Standard IEC 61966-2-1, 1999.
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Larry Irvine, Samuel Marin, Philip Smith,
Constrained Interpolation and Smoothing,
Constructive Approximation,
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Claude Itzykson, Jean-Michel Drouffe,
Statistical Field Theory,
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LC: QC174.8.I89.
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Philipp Janert,
Gnuplot in Action: Understanding Data with Graphs,
Manning, 2008,
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P Jarratt,
Some fourth-order multipoint iterative methods for
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Pitts Jarvis,
Implementing CORDIC Algorithms,
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Gwilym Jenkins, Donald Watts,
Spectral Analysis and its Applications,
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LC: QA280.J45.
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Michael Jenkins,
Algorithm 493:
Zeros of a Real Polynomial,
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-
Michael Jenkins, Joseph Traub,
Algorithm 419:
Zeros of a Complex Polynomial,
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-
Barry Joe,
GEOMPACK - a software package for the generation of meshes
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Volume 13, Number 5, 1991, pages 325-331.
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Stephen Joe, Frances Kuo,
Remark on Algorithm 659:
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Volume 29, Number 1, March 2003, pages 49-57.
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Johnson,
Quarterly Journal of Mathematics,
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Mark Johnson,
Multivariate Statistical Simulation:
A Guide to Selecting and Generating Continuous Multivariate
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LC: QA278.J62.
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Norman Johnson, Samuel Kotz, Narayanaswamy Balakrishnan,
Continuous Univariate Distributions,
Second edition,
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LC: QA273.6.J6.
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Norman Johnson, Samuel Kotz, Adrienne Kemp,
Univariate Discrete Distributions,
Third edition,
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LC: QA273.6.J64.
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Steven Johnson,
The Ghost Map,
Riverhead, 2006,
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Ron Jones, David Kahaner,
XERROR, The SLATEC Error Handling Package,
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Ron Jones, David Kahaner,
XERROR, The SLATEC Error Handling Package,
Software: Practice and Experience,
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Lili Ju, Qiang Du, Max Gunzburger,
Probabilistic methods for centroidal Voronoi tessellations
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Deane Judd, Gunter Wyszecki,
Color in Business, Science, and Industry,
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Erik Kaasschieter,
The solution of non-symmetric linear systems by bi-conjugate
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Voratas Kachitvichyanukul, Bruce Schmeiser,
Binomial Random Variate Generation,
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William Kahan,
Numerical Linear Algebra,
Canadian Mathematical Bulletin,
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David Kahaner,
Comparison of Numerical Quadrature Formulas,
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David Kahaner, Cleve Moler, Steven Nash,
Numerical Methods and Software,
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Masanobu Kaneko,
Poly-Bernoulli Numbers,
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Ohannes Karakashian,
On a Galerkin-Lagrange Multiplier Method for the Stationary
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Sam Karlin,
Total Positivity, Volume 1,
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Richard Karpinski,
Paranoia: A floating-point benchmark,
Byte Magazine,
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George Karypis, Vipin Kumar,
A fast and high quality multilevel scheme for partitioning
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Arthur Kaupe,
Algorithm 178:
Direct Search,
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David Kay, John Levine,
Graphics File Formats,
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Patrick Keast,
Moderate Degree Tetrahedral Quadrature Formulas,
Computer Methods in Applied Mechanics and Engineering,
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James Keener,
The Perron-Frobenius Theorem and the Ranking of Football Teams,
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Bradley Keister,
Multidimensional Quadrature Algorithms,
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Herbert Keller,
Numerical Methods for Two-point Boundary Value Problems,
Dover, 1992,
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LC: QA372.K42.
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Tim Kelley,
Iterative Methods for Linear and Nonlinear Equations,
SIAM, 2004,
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LC: QA297.8.K45.
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Renate Kempf, Chris Frazier, editors,
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William Kennedy, James Gentle,
Statistical Computing,
Marcel Dekker, 1980,
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Charles Kenney, Alan Laub,
Controllability and stability radii for companion form systems,
Mathematics of Control, Signals and Systems,
Volume 1, 1988, pages 239-256.
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Jeremy Kepner,
Parallel MATLAB for Multicore and Multinode Computers,
SIAM, 2009,
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Brian Kernighan, Shen Lin,
An efficient heuristic procedure for partitioning graphs,
Bell System Technical Journal,
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Brian Kernighan, Shen Lin,
Heuristic solution of a signal design optimization problem,
Bell System Technical Journal,
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Brian Kernighan, Phillip Plauger,
The Elements of Programming Style,
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Brian Kernighan, Phillip Plauger,
Software tools,
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LC: QA76.6.K49.
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Brian Kernighan, Dennis Ritchie,
The C Programming Language,
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Prentice Hall, 1988,
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LC: QA76.73C15.K47.
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David Kershaw,
The Incomplete Cholesky-Conjugate Gradient Method for the Iterative
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Tim Kientzle,
Internet File Formats,
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LC: QA76.9.F5.K54.
-
Noboru Kikuchi,
Finite element methods in mechanics,
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LC: TA347.F5.K55.
-
Marc Kilgour, Steven Brams,
The Truel,
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-
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.
-
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.
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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,
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Third Edition,
Addison-Wesley, 1997,
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LC: QA76.6.K64.
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Donald Knuth,
The Art of Computer Programming,
Volume 2, Seminumerical Algorithms,
Third Edition,
Addison Wesley, 1997,
ISBN: 0201896842,
LC: QA76.6.K64.
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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.
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Zdenek Kopal,
Numerical Analysis,
John Wiley, 1955,
LC: QA297.K6.
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Lawrence Kou, George Markowsky, Leonard Berman,
A fast algorithm for Steiner trees,
Technical Report RC 7390,
IBM Thomas J Watson Research Center, 1978.
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Maurice Kraitchik,
Mathematical Recreations,
Norton, 1942,
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Donald Kreher, Douglas Simpson,
Combinatorial Algorithms,
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Kalimutha Krishnamoorthy,
Handbook of Statistical Distributions with Applications,
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LC: QA273.6.K75.
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Arnold Krommer, Christoph Ueberhuber,
Numerical Integration on Advanced Computer Systems,
Springer, 1994,
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LC: QA299.3.K76.
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Vladimir Krylov,
Approximate Calculation of Integrals,
Dover, 2006,
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LC: QA311.K713.
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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,
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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.
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Jack Kuipers,
Quaternions and Rotation Sequences,
Princeton, 1998,
ISBN: 0691102988,
LC: QA196.K85.
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Ulrich Kulisch, Christian Ullrich, Editors,
Wissenschaftliches Rechnen und Programmiersprachen,
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(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.
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Prem Kythe, Pratap Puri,
Computational Methods for Linear Integral Equations,
Birkhaeuser, 2002,
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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.
-
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.
-
Kenneth Lange,
Mathematical and Statistical Methods for Genetic Analysis,
Springer, 1997,
ISBN: 0387953892,
LC: QH438.4.M33.L36.
-
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.
-
Pierre LEcuyer,
Efficient and Portable Combined Random Number Generators,
Communications of the ACM,
Volume 31, Number 6, June 1988, pages 742-751.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
Rudolf Lidl, Harald Niederreiter,
Finite Fields,
Second Edition,
Cambridge University Press, 1997,
ISBN: 0521392314,
LC: QA247.3.L53.
-
M Lietzke, R 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.
-
Edward Lorenz,
Deterministic Nonperiodic Flow,
Journal of Atmospheric Science,
Volume 20, 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.
-
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.
-
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, 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.
-
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.
-
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.
-
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, 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.
-
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.
-
The Mathworks,
Using MATLAB, Version 6,
The Mathworks, 2002.
-
The Mathworks,
MATLAB External Interfaces,
The Mathworks, 2000.
-
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.
-
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,
Lewis Carroll's Day-of-the-Week Algorithm,
Math Horizons,
November 2002, pages 24-25.
-
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,
User Manual for DISLIN version 8.4,
a scientific data graphics package.
-
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.
-
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.
-
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, Charles Van Loan,
19 Dubious Ways to Compute the Exponential of a Matrix,
25 Years Later,
SIAM Review,
Volume 45, Number 1, pages 3-49, March 2003.
-
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.
-
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.
-
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.
-
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.
-
John Nelder, Roger Mead,
A simplex method for function minimization,
Computer Journal,
Volume 7, 1965, pages 308-313.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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,
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Models of Infection: Person to Person,
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Scientific Computing with Case Studies,
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Stan Openshaw, Ian Turton,
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Thomas Oppe, Wayne Joubert, David Kincaid,
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Thomas Osler,
Cardan Polynomials and the Reduction of Radicals,
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Latin Supercube Sampling for Very High Dimensional Simulation,
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Art Owen,
A central limit theorem for Latin hypercube sampling,
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Orthogonal Arrays for Computer Experiments, Integration and
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Art Owen,
Lattice Sampling Revisited: Monte Carlo Variance of
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An Algorithm to Solve the Frobenius Problem,
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Robert Owens,
Sums of Powers of Integers,
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Parallel Programming with MPI,
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Random Number Generators: Good Ones are Hard to Find,
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Seymour Parter,
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Numerical Heat Transfer and Fluid Flow,
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Mike Patefield, David Tandy,
Fast and Accurate Calculation of Owen's T Function,
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Algorithm AS 159:
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Thomas Patterson,
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Thomas Patterson,
The Optimal Addition of Points to Quadrature Formulae,
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Algorithm 468:
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Thomas Patterson,
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Theo Pavlidis,
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ML Pei,
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William Pennebaker, Joan Mitchell,
JPEG: Still Image Data Compression Standard,
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Per-Olof Persson, Gilbert Strang,
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Per-Olof Persson,
Implementation of Finite Element-Based Navier-Stokes Solver,
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Janet Peterson,
The Reduced Basis Method for Incompressible Viscous Flows,
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Knut Petras,
Fast Calculation of Coefficients in the Smolyak Algorithm,
Numerical Algorithms,
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Knut Petras,
Smolyak Cubature of Given Polynomial Degree with Few Nodes
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Computational Molecular Biology,
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Robert Piessens,
Some Aspects of Gaussian Quadrature Formulas for
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Algorithm 453:
Gaussian Quadrature Formulas for Bromwich's Integral,
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Robert Piessens, Elise deDoncker-Kapenga,
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Malcolm Pike, David Hill,
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Malcolm Pike, David Hill,
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Malcolm Pike, Jennie SooHoo,
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Charles Pinter,
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Steve Plimpton, Roy Pollock, Mark Stevens,
Particle-Mesh Ewald and rRESPA
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SJ Polak, A Wachten, H Vaes, A deBeer, Cor denHeijer,
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Tom Porsching,
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Tom Porsching, Meei-Yow Lin Lee,
The Reduced Basis Method for Initial Value Problems,
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Harry Posten,
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Catastrophe Theory and its Applications,
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Albrecht Preusser,
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Philip Rabinowitz, George Weiss,
Tables of Abscissas and Weights for Numerical Evaluation of Integrals
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Hans Rademacher, Emil Grosswald,
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Lawrence Livermore National Laboratory, December 1993.
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Sudarshan Raghunathan,
Making a Supercomputer Do What You Want: High Level Tools for
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Ralph Raimi,
The Peculiar Distribution of First Digits,
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An Introduction to Interactive Molecular-Dynamics Simulation,
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The Art of Molecular Dynamics Simulation,
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LC: QC173.457.C64.R37.
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Arunachalam Ravindran,
Algorithm 431:
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Eigenvalues and pseudo-eigenvalues of Toeplitz matrices,
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Edward Reingold, Nachum Dershowitz,
Calendrical Calculations: The Millennium Edition,
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Edward Reingold, Nachum Dershowitz,
Calendrical Calculations I,
Software - Practice and Experience,
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Edward Reingold, Nachum Dershowitz, Stewart Clamen,
Calendrical Calculations, II: Three Historical Calendars,
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Christian Reinsch,
Algorithm 464:
Eigenvalues of a real symmetric tridiagonal matrix,
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Robert Renka,
Algorithm 751:
TRIPACK, A Constrained Two-Dimensional Delaunay Triangulation Package,
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Robert Renka,
Algorithm 660:
QSHEP2D, Quadratic Shepard method for bivariate interpolation
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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,
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Robert Renka,
Algorithm 772:
STRIPACK: Delaunay Triangulation and Voronoi Diagram on the Surface
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Werner Rheinboldt,
Algorithms for finding zeros of a function,
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Werner Rheinboldt,
Methods for Solving Systems of Nonlinear Equations,
SIAM, 1998,
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LC: QA214.R44.
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Werner Rheinboldt,
Computation of Critical Boundaries on Equilibrium Manifolds,
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Werner Rheinboldt, John Burkardt,
A Locally Parameterized Continuation Process,
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Werner Rheinboldt, John Burkardt,
Algorithm 596:
A Program for a Locally Parameterized
Continuation Process,
ACM Transactions on Mathematical Software,
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Werner Rheinboldt,
Numerical Analysis of Parameterized Nonlinear Equations,
Wiley, 1986,
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LC: QA372.R54.
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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.
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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.
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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.
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Werner Rheinboldt, John Burkardt,
A Locally Parameterized Continuation Process,
ACM Transactions on Mathematical Software,
Volume 9, Number 2, June 1983, pages 215-235.
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Edward Richards,
Mapping Time, The Calendar and Its History,
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LC: CE11.R5.
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Joel Richardson, James Kuester,
Algorithm 454:
The Complex Method for Constrained Optimization,
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Norman Richert,
Strang's Strange Figures,
American Mathematical Monthly,
Volume 99, Number 2, February 1992, pages 101-107.
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Branch Rickey,
Goodby to Some Old Baseball Ideas,
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2 August 1954.
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The Application of Newton's Method to the Problem of Elastic
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Sara Robinson,
Why Mathematicians Now Care About Their Hat Color,
The New York Times,
10 April 2001.
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Claudio Rocchini, Paolo Cignoni,
Generating Random Points in a Tetrahedron,
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Greg Roelofs,
PNG: The Definitive Guide,
O'Reilly, 1999,
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LC: T385.R588.
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Friedrich Roesler,
Riemann's hypothesis as an eigenvalue problem,
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David Rogers, Alan Adams,
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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.
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Howard Rosenbrock,
An Automatic Method for Finding the Greatest or Least Value of a Function,
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Volume 3, 1960, pages 175-184.
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Reuven Rubinstein,
Monte Carlo Optimization, Simulation and Sensitivity of
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LC: QA298.R79.
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BASIC Scientific Subroutines,
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McGraw Hill, 1980,
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LC: QA76.95.R82.
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Frederick Ruckdeschel,
BASIC Scientific Subroutines,
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McGraw Hill, 1980,
ISBN: 0-07-054202-3,
LC: QA76.95.R82.
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Siegfried Rump,
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Jim Ruppert,
A Delaunay Refinement Algorithm for Quality 2-Dimensional
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Journal of Algorithms,
Volume 18, Number 3, May 1995, pages 548-585.
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Daniel Rutherford,
Some continuant determinants arising in physics and chemistry II,
Proceedings of the Royal Society Edinburgh,
Volume 63, A, 1952, pages 232-241.
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Heinz Rutishauser,
On test matrices,
Programmation en Mathematiques Numeriques,
Centre National de la Recherche Scientifique,
1966, pages 349-365.
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Barbara Ryder,
The PFORT verifier,
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Barbara Ryder, Andrew Hall,
The PFORT verifier,
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Herbert Ryser,
Combinatorial Mathematics,
Mathematical Association of America, 1963,
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LC: QA165.R95.
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Sparskit: a basic tool kit for sparse matrix computations,
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Analysis of some Krylov subspace approximations to the
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Technical Report TR90.14,
Research Institute for Advanced Computer Science, 1990.
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Iterative Methods for Sparse Linear Systems,
Second Edition,
SIAM, 2003,
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LC: QA188.S17.
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Apportionment Methods and the House of Representatives,
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Distributing Many Points on a Sphere,
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Latinized, Improved LHS, and CVT Point Sets in Hypercubes,
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The Impossible Problem,
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Testing Ecological Patterns,
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Triangle: Engineering a 2D Quality Mesh Generator and
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