FORTRAN90 Source Codes


  1. allocatable_array_test
  2. alpert_rule, a FORTRAN90 code which sets up an Alpert quadrature rule for functions which are regular, log(x) singular, or 1/sqrt(x) singular.
  3. alpert_rule_test
  4. analemma, a FORTRAN90 code which evaluates the equation of time, a formula for the difference between the uniform 24 hour day and the actual position of the sun, creating data files that can be plotted with gnuplot(), based on a C code by Brian Tung.
  5. analemma_test
  6. annulus_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate the integral of a function over the interior of a circular annulus in 2D.
  7. annulus_monte_carlo_test
  8. annulus_rule, a FORTRAN90 code which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2D.
  9. annulus_rule_test
  10. apportionment, a FORTRAN90 code which demonstrates some of the methods used or proposed for fairly assigning seats in the House of Representatives to each state;
  11. apportionment_test
  12. args, a FORTRAN90 code which reports the command line arguments of a FORTRAN90 code;
  13. args_test
  14. arpack, a FORTRAN90 code which computes eigenvalues for large matrices, by Richard Lehoucq, Danny Sorensen, Chao Yang;
  15. arpack_test
  16. asa005, a FORTRAN90 code which evaluates the lower tail of the noncentral Student T distribution, by BE Cooper; this is a version of Applied Statistics Algorithm 5;
  17. asa005_test
  18. asa006, a FORTRAN90 code which computes the Cholesky factor of a positive definite symmetric matrix, by Michael Healy; this is a version of Applied Statistics Algorithm 6;
  19. asa006_test
  20. asa007, a FORTRAN90 code which computes the inverse of a positive definite symmetric matrix, by Michael Healy; this is a version of Applied Statistics Algorithm 7,
  21. asa007_test
  22. asa032, a FORTRAN90 code which evaluates the incomplete Gamma function, by G Bhattacharjee; this is a version of Applied Statistics Algorithm 32;
  23. asa032_test
  24. asa047, a FORTRAN90 code which minimizes a scalar function of several variables using the Nelder-Mead algorithm, by R ONeill. This is a version of Applied Statistics Algorithm 47;
  25. asa047_test
  26. asa053, a FORTRAN90 code which produces sample matrices from the Wishart distribution, by William Smith and Ronald Hocking. This is a version of Applied Statistics Algorithm 53.
  27. asa053_test
  28. asa058, a FORTRAN90 code which carries out clustering of data, by David Sparks; this is a version of Applied Statistics Algorithm 58;
  29. asa058_test
  30. asa063, a FORTRAN90 code which evaluates the incomplete Beta function, by KL Majumder and G Bhattacharjee; this is a version of Applied Statistics Algorithm 63;
  31. asa063_test
  32. asa066, a FORTRAN90 code which computes the cumulative density function (CDF) of the standard normal distribution, by David Hill; this is a version of Applied Statistics Algorithm 66;
  33. asa066_test
  34. asa076, a FORTRAN90 code which evaluates the Owen T function, by Young and Minder; this is a version of Applied Statistics Algorithm 76;
  35. asa076_test
  36. asa082, a FORTRAN90 code which computes the determinant of an orthogonal matrix; this is Applied Statistics Algorithm 82, by J C Gower.
  37. asa082_test
  38. asa091, a FORTRAN90 code which computes the percentage points of the Chi-square distribution, by Best and Roberts; this is a version of Applied Statistics Algorithm 91;
  39. asa091_test
  40. asa103, a FORTRAN90 code which evaluates the digamma or psi function, by Jose Bernardo; this is a version of Applied Statistics Algorithm 103;
  41. asa103_test
  42. asa109, a FORTRAN90 code which inverts the incomplete Beta function, by Cran, Martin and Thomas; this is a version of Applied Statistics Algorithm 109;
  43. asa109_test
  44. asa111, a FORTRAN90 code which evaluates the percentage points of the normal distribution, by Beasley and Springer; this is a version of Applied Statistics Algorithm 111;
  45. asa111_test
  46. asa113, a FORTRAN90 code which clusters data using a transfer and swap algorithm, by Banfield and Bassill; this is a version of Applied Statistics Algorithm 113;
  47. asa113_test
  48. asa121, a FORTRAN90 code which evaluates the trigamma function, by BE Schneider; this is a version of Applied Statistics Algorithm 121;
  49. asa121_test
  50. asa136, a FORTRAN90 code which implements a clustering algorithm, by Hartigan and Wong; this is a version of Applied Statistics Algorithm 136;
  51. asa136_test
  52. asa144, a FORTRAN90 code which randomly generates tables with given row and column sums, by James Boyett; this is a version of Applied Statistics Algorithm 144;
  53. asa144_test
  54. asa147, a FORTRAN90 code which evaluates the incomplete Gamma function, by Chi Leung Lau; this is a version of Applied Statistics Algorithm 147;
  55. asa147_test
  56. asa152, a FORTRAN90 code which evaluates the probability density function (PDF) and cumulative density function (CDF) associated with the hypergeometric distribution, by Richard Lund; this is a version of Applied Statistics Algorithm 152;
  57. asa152_test
  58. asa159, a FORTRAN90 code which computes a random table with given row and column sums, by Michael Patefield; this is a version of Applied Statistics Algorithm 159;
  59. asa159_test
  60. asa172, a FORTRAN90 code which generates all multidimensional indices in a given range, simulating the behavior of an arbitrary number of nested loops, by OFlaherty and MacKenzie; this is a version of Applied Statistics Algorithm 172;
  61. asa172_test
  62. asa183, a FORTRAN90 code which implements a random number generator (RNG), by Wichman and Hill; this is a version of Applied Statistics Algorithm 183;
  63. asa183_test
  64. asa189, a FORTRAN90 code which estimates the parameters of a beta binomial distribution based on a sample of values generated by the distribution, by D Smith; this is a version of Applied Statistics Algorithm 189;
  65. asa189_test
  66. asa205, a FORTRAN90 code which generates tables with given row and column sums; this is a version of Applied Statistics Algorithm 205;
  67. asa205_test
  68. asa226, a FORTRAN90 code which evaluates the noncentral incomplete Beta function, by Russell Lenth; this is a version of Applied Statistics Algorithm 226;
  69. asa226_test
  70. asa239, a FORTRAN90 code which evaluates the incomplete Gamma function, by Shea; this is a version of Applied Statistics Algorithm 239;
  71. asa239_test
  72. asa241, a FORTRAN90 code which computes the inverse of the normal cumulative density function (CDF), by Michael Wichura; this is a version of Applied Statistics Algorithm 241;
  73. asa241_test
  74. asa243, a FORTRAN90 code which evaluates the lower tail of the noncentral Student T distribution, by Russell Lenth; this is a version of Applied Statistics Algorithm 243;
  75. asa243_test
  76. asa245, a FORTRAN90 code which evaluates the logarithm of the Gamma function, by Allan Mcleod; this is a version of Applied Statistics Algorithm 245;
  77. asa245_test
  78. asa266, a FORTRAN90 code which evaluates various properties of the Dirichlet probability density function (PDF); this is a version of Applied Statistics Algorithm 266;
  79. asa266_test
  80. asa299, a FORTRAN90 code which computes the lattice points (integer coordinates) in an M-dimensional simplex, by Chasalow and Brand; this is a version of Applied Statistics Algorithm 299;
  81. asa299_test
  82. asa310, a FORTRAN90 code which evaluates the noncentral incomplete Beta function, by Chattamvelli and Shanmugam; this is a version of Applied Statistics Algorithm 310;
  83. asa310_test
  84. asa314, a FORTRAN90 code which computes the inverse of a matrix whose elements are subject to modulo arithmetic, by Roger Payne. This is a version of Applied Statistics Algorithm 314.
  85. asa314_test
  86. atbash, a FORTRAN90 code which applies the Atbash substitution cipher to a string of text.
  87. atbash_test
  88. backtrack_binary_rc, a FORTRAN90 code which carries out a backtrack search for binary decisions, using reverse communication (RC).
  89. backtrack_binary_rc_test
  90. ball_grid, a FORTRAN90 code which computes grid points inside a 3D ball.
  91. ball_grid_test
  92. ball_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.
  93. ball_integrals_test
  94. ball_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit ball in 3D;
  95. ball_monte_carlo_test
  96. bank, a FORTRAN90 code which computes the check digit associated with a US Bank Routing Number check digit, or reports whether a 9-digit code is actually valid.
  97. bank_test
  98. barycentric_interp_1d, a FORTRAN90 code which defines and evaluates the barycentric Lagrange polynomial p(x) which interpolates data, so that p(x(i)) = y(i). The barycentric approach means that very high degree polynomials can safely be used.
  99. barycentric_interp_1d_test
  100. bdmlib, a FORTRAN90 code which estimates the weights in a Dirichlet mixture based on sample data;
  101. bdmlib_test
  102. bellman_ford, a FORTRAN90 code which implements the Bellman-Ford algorithm for finding the shortest distance from a given node to all other nodes in a directed graph whose edges have been assigned real-valued lengths.
  103. bellman_ford_test
  104. bernstein_polynomial, a FORTRAN90 code which evaluates the Bernstein polynomials;
  105. bernstein_polynomial_test
  106. besselj, a FORTRAN90 code which evaluates Bessel J functions of noninteger order;
  107. besselj_test
  108. beta_nc, a FORTRAN90 code which evaluates the cumulative density function (CDF) of the noncentral Beta distribution;
  109. beta_nc_test
  110. bezier_surface, a FORTRAN90 code which reads, writes, prints and manipulates the data that defines a Bezier surface;
  111. bezier_surface_test
  112. bins, a FORTRAN90 code which orders, sorts and searches data using bins;
  113. bins_test
  114. bisection_integer, a FORTRAN90 code which seeks an integer solution to the equation F(X)=0, using bisection within a user-supplied change of sign interval [A,B].
  115. bisection_integer_test
  116. bisection_rc, a FORTRAN90 code which seeks a solution to the equation F(X)=0 using bisection within a user-supplied change of sign interval [A,B]. The procedure is written using reverse communication (RC).
  117. bisection_rc_test
  118. bivar, a FORTRAN90 code which interpolates scattered bivariate data. This is a version of ACM TOMS algorithm 526, by Hiroshi Akima.
  119. bivar_test
  120. black_scholes, a FORTRAN90 code which implements some simple approaches to the Black-Scholes option valuation theory, creating graphics files for processing by gnuplot(), by Desmond Higham.
  121. black_scholes_test
  122. blas0, a FORTRAN90 code which contains auxilliary functions for the Basic Linear Algebra Subprograms (BLAS).
  123. blas0_test
  124. blas1_d, a FORTRAN90 code which constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS), for vector-vector operations using double precision real arithmetic, by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
  125. blas1_d_test
  126. blas1_z, a FORTRAN90 code which constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS), for vector-vector operations using double precision complex arithmetic, by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
  127. blas1_z_test
  128. blas2_d, a FORTRAN90 code which constitutes the Level 2 Basic Linear Algebra Subprograms (BLAS), for matrix-vector operations using double precision real arithmetic.
  129. blas2_d_test
  130. blas2_z, a FORTRAN90 code which constitutes the Level 2 Basic Linear Algebra Subprograms (BLAS), for matrix-vector operations using double precision complex arithmetic.
  131. blas2_z_test
  132. blas3_d, a FORTRAN90 code which constitutes the Level 3 Basic Linear Algebra Subprograms (BLAS), for matrix-matrix operations using double precision real arithmetic.
  133. blas3_d_test
  134. blas3_z, a FORTRAN90 code which constitutes the Level 3 Basic Linear Algebra Subprograms (BLAS), for matrix-matrix operations using double precision complex arithmetic.
  135. blas3_z_test
  136. blend, a FORTRAN90 code which carries out 1D/2D/3D blending interpolation;
  137. blend_test
  138. box_behnken, a FORTRAN90 code which computes a Box-Behnken design, that is, arguments to sample the behavior of a function of multiple parameters;
  139. box_behnken_test
  140. brownian_motion_simulation, a FORTRAN90 code which simulates Brownian motion in an M-dimensional region, creating graphics files for processing by gnuplot().
  141. brownian_motion_simulation_test
  142. burgers_solution, a FORTRAN90 code which evaluates exact solutions of the time-dependent 1D viscous Burgers equation.
  143. burgers_solution_test
  144. bvec, a FORTRAN90 code which demonstrates how signed integers can be stored as binary vectors, and arithmetic can be performed on them.
  145. bvec_test
  146. bvls, a FORTRAN90 code which applies linear least squares (LLS) methods to solve a system for which lower and upper constraints may have been placed on every variable, by Charles Lawson and Richard Hanson.
  147. bvls_test
  148. c8lib, a FORTRAN90 code which implements certain elementary functions for double precision complex (C8) variables;
  149. c8lib_test
  150. caesar, a FORTRAN90 code which applies a Caesar Shift Cipher to a string of text.
  151. caesar_test
  152. calendar_nyt, a FORTRAN90 code which shows the correspondence between dates and the New York Times volume and issue number;
  153. calendar_nyt_test
  154. calpak, a FORTRAN90 code which makes various calendar calculations;
  155. calpak_test
  156. cauchy_principal_value, a FORTRAN90 code which uses Gauss-Legendre quadrature to estimate the Cauchy Principal Value (CPV) of certain singular integrals.
  157. cauchy_principal_value_test
  158. ccn_rule, a FORTRAN90 code which defines a one of a sequence of Clenshaw Curtis nested (CCN) quadrature rules of any order.
  159. ccn_rule_test
  160. ccs_io, a FORTRAN90 code which reads and writes sparse linear systems stored in the Compressed Column Storage (CCS) format.
  161. ccs_io_test
  162. ccs_to_st, a FORTRAN90 code which converts a sparse matrix from compressed column storage (CCS) to sparse triplet (ST) format.
  163. ccs_to_st_test
  164. cdflib, a FORTRAN90 code which evaluates the cumulative density function (CDF), inverse CDF, and certain other inverse functions, for distributions including beta, binomial, chi-square, noncentral chi-square, F, noncentral F, gamma, negative binomial, normal, Poisson, and students T, by Barry Brown, James Lovato, Kathy Russell.
  165. cdflib_test
  166. cell, a FORTRAN90 code which defines a cell array, a generalization of an array which compactly stores and retrieves vector or matrix data of varying size, such as the rows of a triangular matrix.
  167. cell_test
  168. cellular_automaton, a FORTRAN90 code which demonstrates the 1D Cellular Automaton known as rule #30.
  169. cellular_automaton_test
  170. cg, a FORTRAN90 code which implements a simple version of the conjugate gradient (CG) method for solving a system of linear equations of the form A*x=b, suitable for situations in which the matrix A is positive definite, only real, positive eigenvalues and symmetric.
  171. cg_test
  172. cg_rc, a FORTRAN90 code which implements the conjugate gradient (CG) method for solving a positive definite sparse linear system A*x=b, using reverse communication (RC).
  173. cg_rc_test
  174. change_making, a FORTRAN90 code which considers the change making problem, in which a given sum is to be formed using coins of various denominations.
  175. change_making_test
  176. chebyshev, a FORTRAN90 code which computes the Chebyshev interpolant/approximant to a given function over an interval.
  177. chebyshev_test
  178. chebyshev_interp_1d, a FORTRAN90 code which determines the combination of Chebyshev polynomials which interpolates data, so that p(x(i)) = y(i).
  179. chebyshev_interp_1d_test
  180. chebyshev_polynomial, a FORTRAN90 code which considers the Chebyshev polynomials T(i,x), U(i,x), V(i,x) and W(i,x). Functions are provided to evaluate the polynomials, determine their zeros, produce their polynomial coefficients, produce related quadrature rules, project other functions onto these polynomial bases, and integrate double and triple products of the polynomials.
  181. chebyshev_polynomial_test
  182. chebyshev_series, a FORTRAN90 code which evaluates a Chebyshev series approximating a function f(x), while efficiently computing one, two or three derivatives of the series, which approximate f'(x), f''(x), and f'''(x), by Manfred Zimmer.
  183. chebyshev_series_test
  184. chebyshev1_exactness, a FORTRAN90 code which tests polynomial exactness of Gauss-Chebyshev type 1 quadrature rules.
  185. chebyshev1_exactness_test
  186. chebyshev1_rule, a FORTRAN90 code which computes and writes out a Gauss-Chebyshev type 1 quadrature rule of given order.
  187. chebyshev1_rule_test
  188. chebyshev2_exactness, a FORTRAN90 code which tests polynomial exactness of Gauss-Chebyshev type 2 quadrature rules.
  189. chebyshev2_exactness_test
  190. chebyshev2_rule, a FORTRAN90 code which computes and writes out a Gauss-Chebyshev type 2 quadrature rule of given order.
  191. chebyshev2_rule_test
  192. chrpak, a FORTRAN90 code which manipulates characters and strings;
  193. chrpak_test
  194. circle_arc_grid, a FORTRAN90 code which computes grid points along a circular arc.
  195. circle_arc_grid_test
  196. circle_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the circumference of the unit circle in 2D.
  197. circle_integrals_test
  198. circle_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function along the circumference of the unit circle in 2D;
  199. circle_monte_carlo_test
  200. circle_packing, a FORTRAN90 code which performs a circle-packing test on the spacing of points;
  201. circle_packing_test
  202. circle_rule, a FORTRAN90 code which computes quadrature rules for the unit circle in 2D, that is, the circumference of the circle of radius 1 and center (0,0).
  203. circle_rule_test
  204. circle_segment, a FORTRAN90 code which carries out computations associated with a circle segment, including height, angle, area, centroid, sampling, and quadrature, creating some graphics images using gnuplot().
  205. circle_segment_test
  206. cities, a FORTRAN90 code which works with city-to-city distance matrices;
  207. cities_test
  208. clausen, a FORTRAN90 code which evaluates a Chebyshev interpolant to the Clausen function Cl2(x).
  209. clausen_test
  210. clenshaw_curtis_grid, a FORTRAN90 code which sets up a Clenshaw Curtis quadrature rule in multiple dimensions;
  211. clenshaw_curtis_grid_test
  212. clenshaw_curtis_rule, a FORTRAN90 code which implements a Clenshaw Curtis quadrature rule;
  213. clenshaw_curtis_rule_test
  214. cluster_energy, a FORTRAN90 code which computes the minimal cluster energy of points;
  215. cluster_energy_test
  216. codepack, a FORTRAN90 code which computes graph codes to compare two graphs;
  217. codepack_test
  218. collatz_recursive, a FORTRAN90 code which demonstrates recursive programming by considering the simple Collatz 3n+1 problem.
  219. collatz_recursive_test
  220. colored_noise, a FORTRAN90 code which generates samples of noise obeying a 1/f^alpha power law.
  221. colored_noise_test
  222. colors, a FORTRAN90 code which converts between various formats for describing colors;
  223. colors_test
  224. combo, a FORTRAN90 code which includes routines for ranking, unranking, enumerating and randomly selecting balanced sequences, cycles, graphs, Gray codes, subsets, partitions, permutations, restricted growth functions, Pruefer codes and trees.
  225. combo_test
  226. communicator_mpi, a FORTRAN90 code which creates new communicators involving a subset of initial set of MPI processes in the default communicator MPI_COMM_WORLD.
  227. communicator_mpi_test
  228. compass_search, a FORTRAN90 code which seeks the minimizer of a scalar function of several variables using compass search, a direct search algorithm that does not use derivatives.
  229. compass_search_test
  230. complex_numbers_test, a FORTRAN90 code which demonstrates some simple features involved in the use of complex numbers.
  231. condition, a FORTRAN90 code which implements methods of computing or estimating the condition number of a matrix.
  232. condition_test
  233. continued_fraction, a FORTRAN90 code which deals with simple and generalized continued fractions.
  234. continued_fraction_test
  235. cordic, a FORTRAN90 code which computes a few special functions using the CORDIC algorithm.
  236. cordic_test
  237. correlation, a FORTRAN90 code which contains statistical correlation functions.
  238. correlation_test
  239. cosine_transform, a FORTRAN90 code which demonstrates some simple properties of the discrete cosine transform (DCT).
  240. cosine_transform_test
  241. csv_io, a FORTRAN90 code which reads and writes files using the Comma Separated Value (CSV) format.
  242. csv_io_test
  243. cube_arbq_rule, a FORTRAN90 code which returns quadrature rules, with exactness up to total degree 15, over the interior of the symmetric cube in 3D, by Hong Xiao and Zydrunas Gimbutas.
  244. cube_arbq_rule_test
  245. cube_exactness, a FORTRAN90 code which investigates the polynomial exactness of quadrature rules over the interior of a cube in 3D.
  246. cube_exactness_test
  247. cube_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a cube in 3D.
  248. cube_felippa_rule_test
  249. cube_grid, a FORTRAN90 code which computes a grid of points over the interior of a cube in 3D.
  250. cube_grid_test
  251. cube_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
  252. cube_integrals_test
  253. cube_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit cube in 3D.
  254. cube_monte_carlo_test
  255. cuda_loop, a FORTRAN90 code which shows how, in a CUDA code, the choice of block and thread factors determines the allocation of tasks to processors.
  256. cuda_loop_test
  257. cvt, a FORTRAN90 code which computes an N point Centroidal Voronoi Tessellation (CVT) in M dimensions;
  258. cvt_test
  259. cvt_box, a FORTRAN90 code which calculates a Centroidal Voronoi Tessellation (CVT) constrained to a box region, with points projected to the boundary;
  260. cvt_box_test
  261. cvtp, a FORTRAN90 code which creates a Centroidal Voronoi Tessellation on a Periodic region (CVTP).
  262. cvtp_test
  263. cvt_triangulation, a FORTRAN90 code which applies Centroidal Voronoi Tessellation (CVT) techniques to the test_triangulation() set;
  264. cvt_triangulation_test
  265. cycle_brent, a FORTRAN90 code which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle length, using the Brent method.
  266. cycle_brent_test
  267. cycle_floyd, a FORTRAN90 code which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle length, using the Floyd method.
  268. cycle_floyd_test
  269. cyclic_reduction, a FORTRAN90 code which solves a tridiagonal linear system using cyclic reduction;
  270. cyclic_reduction_test
  271. diaphony, a FORTRAN90 code which reads a file of N points in M dimensions and computes its diaphony, a measure of point dispersion.
  272. diaphony_test
  273. differ, determines the finite difference coefficients necessary in order to combine function values at known locations to compute an approximation of given accuracy to a derivative of a given order.
  274. differ_test
  275. dijkstra, a FORTRAN90 code which implements a simple version of the Dijkstra minimum distance algorithm for graphs.
  276. dijkstra_test
  277. dijkstra_openmp, a FORTRAN90 code which uses OpenMP to parallelize a simple case of the Dijkstra minimum distance algorithm for graphs.
  278. dijkstra_openmp_test
  279. discrete_pdf_sample_2d, a FORTRAN90 code which demonstrates how to construct a Probability Density Function (PDF) from a table of sample data, and then to use that PDF to create new samples.
  280. discrete_pdf_sample_2d_test
  281. disk_grid, a FORTRAN90 code which computes grid points within the interior of a disk of user specified radius and center in 2D, using gnuplot() to create an image of the grid.
  282. disk_grid_test
  283. disk_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate integrals of a function over the interior of the general disk in 2D;
  284. disk_monte_carlo_test
  285. disk_rule, a FORTRAN90 code which computes quadrature rules for the general disk in 2D.
  286. disk_rule_test
  287. disk01_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.
  288. disk01_integrals_test
  289. disk01_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit disk in 2D;
  290. disk01_monte_carlo_test
  291. disk01_quarter_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit quarter disk in 2D;
  292. disk01_quarter_monte_carlo_test
  293. disk01_rule, a FORTRAN90 code which computes quadrature rules for the unit disk in 2D, that is, the interior of the circle of radius 1 and center (0,0).
  294. disk01_rule_test
  295. dislin_test, a FORTRAN90 code which calls dislin(), which is a powerful scientific graphics package.
  296. distance_to_position, a FORTRAN90 code which estimates positions of cities based on a city-to-city distance table.
  297. distance_to_position_test
  298. divdif, a FORTRAN90 code which uses divided differences to compute the polynomial interpolant to a given set of data.
  299. divdif_test
  300. doomsday, a FORTRAN90 code which is given the year, month and day of a date, and uses John Conway's doomsday algorithm to determine the corresponding day of the week.
  301. doomsday_test
  302. dream, a FORTRAN90 code which implements the DREAM algorithm for accelerating Markov Chain Monte Carlo (MCMC) convergence using differential evolution, using five user functions to define the problem, by Guannan Zhang.
  303. dream_test
  304. duel_simulation, a FORTRAN90 code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
  305. duel_simulation_test
  306. dutch, a FORTRAN90 code which performs certain tasks in computational geometry;
  307. dutch_test
  308. edge, a FORTRAN90 code which defines some test functions in 1D, 2D and 3D for the detection of edges or discontinuities, and using gnuplot() to display the curves or surfaces.
  309. edge_test
  310. ellipse_grid, a FORTRAN90 code which computes grid points over the interior of an ellipse in 2D.
  311. ellipse_grid_test
  312. ellipse_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipse in 2D.
  313. ellipse_monte_carlo_test
  314. ellipsoid_grid, a FORTRAN90 code which computes a grid of points over the interior of an ellipsoid in 3D.
  315. ellipsoid_grid_test
  316. ellipsoid_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.
  317. ellipsoid_monte_carlo_test
  318. elliptic_integral, a FORTRAN90 code which evaluates complete elliptic integrals of first, second and third kind, using the Carlson elliptic integral functions.
  319. elliptic_integral_test
  320. errors, FORTRAN90 codes which illustrate the failure of numerical algorithms;
  321. errors_test
  322. etdrk4, a FORTRAN90 code which uses the ETD RK4 method to solve systems of stiff ordinary differential equations (ODE), by Aly-Khan Kassam, Lloyd Trefethen.
  323. etdrk4_test
  324. euler, a FORTRAN90 code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
  325. euler_test
  326. exactness, a FORTRAN90 code which investigates the exactness of quadrature rules that estimate the integral of a function with a density, such as 1, exp(-x) or exp(-x^2), over an interval such as [-1,+1], [0,+oo) or (-oo,+oo).
  327. exactness_test
  328. f90_test, a FORTRAN90 code which uses various FORTRAN90 features;
  329. f90_calls_c, a FORTRAN90 code which calls a C function.
  330. f90_calls_c++, a FORTRAN90 code which calls a C++ function.
  331. f90_calls_matlab, a FORTRAN90 code which interacts with MATLAB;
  332. f90_files_test, a FORTRAN90 code which uses files.
  333. f90_intrinsics_test, a FORTRAN90 code which uses FORTRAN90 intrinsic functions and subroutines;
  334. f90_mistake_test, a FORTRAN90 code which illustrates some simple but devious mistakes in FORTRAN90.
  335. f90_module_test, a FORTRAN90 code which uses the FORTRAN90 module feature.
  336. f90_random_test, a FORTRAN90 code which uses the FORTRAN90 random number generator (RNG) routines.
  337. f90_stop_test, a FORTRAN90 code which illustrates how a FORTRAN90 code can print a text message or return a numeric status value to the calling environment when executing the stop() statement.
  338. f90split, a FORTRAN90 code which reads a FORTRAN file and creates individual files for every subroutine or function in the file.
  339. f90split_test
  340. fair_dice_simulation, a FORTRAN90 code which simulates N tosses of 2 dice, writing graphics files for processing by gnuplot().
  341. fair_dice_simulation_test
  342. fastgl, a FORTRAN90 code which carries out the rapid computation of the Kth value and weight of an N point Gauss-Legendre quadrature rule, by Ignace Bogaert.
  343. fastgl_test
  344. faure, a FORTRAN90 code which computes elements of the Faure Quasi Mont Carlo (QMC) M-dimensional sequence;
  345. faure_test
  346. fd_predator_prey, a FORTRAN90 code which solves a pair of predator prey ordinary differential equations (ODE) using the finite difference method (FDM), and plots the data with gnuplot().
  347. fd_predator_prey_test
  348. fd1d_advection_diffusion_steady, a FORTRAN90 code which applies the finite difference method (FDM) to solve the steady advection diffusion equation v*ux-k*uxx=0 in one spatial dimension, with constant velocity v and diffusivity k, writing graphics files for processing by gnuplot().
  349. fd1d_advection_diffusion_steady_test
  350. fd1d_advection_ftcs, a FORTRAN90 code which applies the finite difference method (FDM) to solve the time-dependent advection equation ut = - c * ux in one spatial dimension, with a constant velocity, using the forward time centered space (FTCS) method, writing graphics files for processing by gnuplot().
  351. fd1d_advection_ftcs_test
  352. fd1d_advection_lax, a FORTRAN90 code which applies the finite difference method (FDM) to solve the time-dependent advection equation ut = - c * ux in one spatial dimension, with a constant velocity, using the Lax method to approximate the time derivative, writing graphics files for processing by gnuplot().
  353. fd1d_advection_lax_test
  354. fd1d_advection_lax_wendroff, a FORTRAN90 code which applies the finite difference method (FDM) to solve the time-dependent advection equation ut = - c * ux in one spatial dimension, with a constant velocity, using the Lax-Wendroff method to approximate the time derivative, writing graphics files for processing by gnuplot().
  355. fd1d_advection_lax_wendroff_test
  356. fd1d_burgers_lax, a FORTRAN90 code which applies the finite difference method (FDM) and the Lax Wendroff method to solve the non-viscous time-dependent Burgers equation in one spatial dimension.
  357. fd1d_burgers_lax_test
  358. fd1d_burgers_leap, a FORTRAN90 code which applies the finite difference method (FDM) and the leapfrog approach to solve the non-viscous time-dependent Burgers equation in one spatial dimension.
  359. fd1d_burgers_leap_test
  360. fd1d_bvp, a FORTRAN90 code which applies the finite difference method (FDM) to a two point boundary value problem (BVP) in one spatial dimension.
  361. fd1d_bvp_test
  362. fd1d_heat_explicit, a FORTRAN90 code which implements a finite difference method (FDM), explicit in time, of the time dependent 1D heat equation;
  363. fd1d_heat_explicit_test
  364. fd1d_heat_implicit, a FORTRAN90 code which implements a finite difference method (FDM), implicit in time, of the time dependent 1D heat equation;
  365. fd1d_heat_implicit_test
  366. fd1d_heat_steady, a FORTRAN90 code which implements a finite difference method (FDM) for the steady time-independent 1D heat equation;
  367. fd1d_heat_steady_test
  368. fd1d_predator_prey, a FORTRAN90 code which implements the finite difference method (FDM) for a 1D predator-prey system, creating graphics files for processing by gnuplot(), by Marcus Garvie.
  369. fd1d_predator_prey_test
  370. fd1d_wave, a FORTRAN90 code which applies the finite difference method (FDM) to solve the time-dependent wave equation utt = c * uxx in one spatial dimension.
  371. fd1d_wave_test
  372. fd2d_heat_steady, a FORTRAN90 code which implements a finite difference method (FDM) for the steady time-independent 2D heat equation;
  373. fd2d_heat_steady_test
  374. fd2d_predator_prey, a FORTRAN90 code which implements the finite difference method (FDM) for a 2D predator-prey system, by Marcus Garvie.
  375. fd2d_predator_prey_test
  376. fem_basis, a FORTRAN90 code which defines and evaluates basis functions associated with the finite element method (FEM) for any degree in an M-dimensional simplex: 1D interval, 2D triangle, 3D tetrahedron, and higher dimensional generalizations.)
  377. fem_basis_test
  378. fem_io, a FORTRAN90 code which reads or writes FEM files, which describe the nodes, elements, and function values associated with a finite element method (FEM) model;
  379. fem_io_test
  380. fem_to_gmsh, a FORTRAN90 code which reads a pair of FEM files defining node coordinates and elements, of a 1D, 2D or 3D mesh, namely a file of node coordinates and a file of elements defined by node indices, and creates a gmsh() mesh file.
  381. fem_to_gmsh_test
  382. fem_to_mesh, a FORTRAN90 code which reads FEM files defining the node coordinates, boundary nodes, and elements of a finite element mesh, and rewrites the data as a MESH file.
  383. fem_to_mesh_test
  384. fem_to_triangle, a FORTRAN90 code which reads FEM files defining a 2D mesh of triangles, namely a file of node coordinates and a file of elements defined by node indices, and creates a corresponding pair of node and element files for the triangle() code of Jonathan Shewchuk
  385. fem_to_triangle_test
  386. fem_to_xml, reads a pair of FEM files defining node coordinates and elements, of a 1D, 2D or 3D mesh, namely a file of node coordinates and a file of elements defined by node indices, and creates a corresponding XML file for input to dolfin() or fenics().
  387. fem_to_xml_test
  388. fem1d, a FORTRAN90 code which applies the finite element method (FEM), using piecewise linear basis functions, to a linear two point boundary value problem (BVP) in 1D;
  389. fem1d_test
  390. fem1d_adaptive, a FORTRAN90 code which uses an adaptive mesh when applying the finite element method (FEM), with piecewise linear basis functions, to a linear two point boundary value problem (BVP) in 1D;
  391. fem1d_adaptive_test
  392. fem1d_bvp_linear, a FORTRAN90 code which applies the finite element method (FEM), with piecewise linear elements, to a two point boundary value problem (BVP) in one spatial dimension, and compares the computed and exact solutions with the L2 and seminorm errors.
  393. fem1d_bvp_linear_test
  394. fem1d_bvp_quadratic, a FORTRAN90 code which applies the finite element method (FEM), with piecewise quadratic elements, to a two point boundary value problem (BVP) in one spatial dimension, and compares the computed and exact solutions with the L2 and seminorm errors.
  395. fem1d_bvp_quadratic_test
  396. fem1d_heat_steady, a FORTRAN90 code which implements the finite element method (FEM) for the steady time-independent 1D heat equation;
  397. fem1d_heat_steady_test
  398. fem1d_lagrange, a FORTRAN90 code which sets up the matrices and vectors associated with the finite element method (FEM) solution of a boundary value problem (BVP) -u''+u=f(x), using Lagrange basis polynomials.
  399. fem1d_lagrange_test
  400. fem1d_nonlinear, a FORTRAN90 code which applies the finite element method (FEM), with piecewise linear basis functions, to a nonlinear two point boundary value problem (BVP) in 1D;
  401. fem1d_nonlinear_test
  402. fem1d_pack, a FORTRAN90 code which contains utilities for 1D finite element method (FEM) calculations.
  403. fem1d_pack_test
  404. fem1d_pmethod, a FORTRAN90 code which applies the p-method version of the finite element method (FEM) to a linear two point boundary value problem (BVP) in 1D;
  405. fem1d_pmethod_test
  406. fem1d_project, a FORTRAN90 code which projects data into a finite element space, including the least squares approximation of data, or the projection of a finite element solution from one mesh to another.
  407. fem1d_project_test
  408. fem1d_sample, a FORTRAN90 code which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.
  409. fem1d_sample_test
  410. fem2d_bvp_linear, a FORTRAN90 code which applies the finite element method (FEM), with piecewise linear elements, to a 2D boundary value problem (BVP) in a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.
  411. fem2d_bvp_linear_test
  412. fem2d_bvp_quadratic, a FORTRAN90 code which applies the finite element method (FEM), with piecewise quadratic elements, to a 2D boundary value problem (BVP) in a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.
  413. fem2d_bvp_quadratic_test
  414. fem2d_bvp_serene, a FORTRAN90 code which applies the finite element method (FEM), with serendipity elements, to a 2D boundary value problem (BVP) in a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.
  415. fem2d_bvp_serene_test
  416. fem2d_heat, a FORTRAN90 code which uses the finite element method (FEM) and the backward Euler method to solve the time-dependent heat equation on an arbitrary triangulated region in 2D. The user supplies some information in some problem-dependent subroutines.
  417. fem2d_heat_test
  418. fem2d_heat_rectangle, a FORTRAN90 code which implements the finite element method (FEM) for the time dependent heat equation on a triangulated square in 2D;
  419. fem2d_heat_rectangle_test
  420. fem2d_pack, a FORTRAN90 code which implements simple 2D finite element method (FEM) calculations;
  421. fem2d_pack_test
  422. fem2d_poisson_rectangle, a FORTRAN90 code which solves the 2D Poisson equation on a rectangle, using the finite element method (FEM), and piecewise quadratic triangular elements.
  423. fem2d_poisson_rectangle_test
  424. fem2d_poisson_rectangle_linear, a FORTRAN90 code which solves the 2D Poisson equation on a rectangle, using the finite element method (FEM), and piecewise linear triangular elements.
  425. fem2d_poisson_rectangle_linear_test
  426. fem2d_sample, a FORTRAN90 code which samples at arbitray points a finite element function, defined by FEM files, three text files describing the nodes, triangles, and coefficients.
  427. fem2d_sample_test
  428. fem3d_pack, a FORTRAN90 code which contains utilities for 3D finite element method (FEM) calculations.
  429. fem3d_pack_test
  430. fem3d_sample, a FORTRAN90 code which evaluates a finite element function defined on a 3D tetrahedral mesh.
  431. fem3d_sample_test
  432. feynman_kac_1d, a FORTRAN90 code which demonstrates the use of the Feynman-Kac algorithm to solve the Poisson equation in a 1D interval by averaging stochastic paths to the boundary.
  433. feynman_kac_1d_test
  434. feynman_kac_2d, a FORTRAN90 code which demonstrates the use of the Feynman-Kac algorithm to solve the Poisson equation in a 2D ellipse by averaging stochastic paths to the boundary.
  435. feynman_kac_2d_test
  436. feynman_kac_3d, a FORTRAN90 code which demonstrates the use of the Feynman-Kac algorithm to solve the Poisson equation in a 3D ellipsoid by averaging stochastic paths to the boundary.
  437. feynman_kac_3d_test
  438. fft_openmp, a FORTRAN90 code which demonstrates the computation of a Fast Fourier Transform in parallel, using OpenMP.
  439. fft_openmp_test
  440. fft_serial, a FORTRAN90 code which computes a Fast Fourier Transform (FFT), and is intended as a starting point for implementing a parallel version.
  441. fft_serial_test
  442. fftpack5, a FORTRAN90 code which computes Fast Fourier transforms (FFT) by Paul Swarztrauber and Dick Valent;
  443. fftpack5_test
  444. fftpack51, a FORTRAN90 code which contains version 5.1 of the FFTPACK Fast Fourier Transform (FFT) package, using double precision arithmetic, by Paul Swarztrauber and Dick Valent;
  445. fftpack51_test
  446. file_column_reverse, a FORTRAN90 code which creates a copy of a file in which the columns are reversed, that is, the characters on each line appear in reverse order.
  447. file_column_reverse_test
  448. file_name_sequence, a FORTRAN90 code which demonstrates ways to generate a sequence of filenames, which can be useful when generating a sequence of still snapshots to be animated later.
  449. file_name_sequence_test
  450. file_transpose, a FORTRAN90 code which makes a transposed copy of a file, in which the I-th word of the J-th line becomes the J-th word of the I-th line.
  451. file_transpose_test
  452. files_multiple, a FORTRAN90 code which demonstrates how to open multiple output files at one time, and write data to a specific file.
  453. files_multiple_test
  454. filon, a FORTRAN90 code which approximates integrals in which the integrand includes an oscillatory factor of sin(k*x) or cos(k*x).
  455. filon_test
  456. filum, a FORTRAN90 code which performs various operations on files;
  457. filum_test
  458. fire_simulation, a FORTRAN90 code which simulates a forest fire over a rectangular array of trees, starting at a single random location.
  459. fire_simulation_test
  460. floyd, a FORTRAN90 code which implements the Floyd algorithm for finding the shortest distance between pairs of nodes on a directed graph.
  461. floyd_test
  462. fn, a FORTRAN90 code which evaluates elementary and special functions using Chebyshev polynomials, including Airy, Bessel I, Bessel J, Bessel K, Bessel Y, beta, confluent hypergeometric, cosine integral, the Dawson integral, digamma/psi, error, exponential integral, gamma, hyperbolic cosine integral, hyperbolic sine integral, incomplete gamma, log gamma, logarithmic integral, Pochhammer, psi, sine integral, Spence; by Wayne Fullerton.
  463. fn_test
  464. football, a FORTRAN90 code which ranks football teams based on scores;
  465. football_test
  466. football_scores, a FORTRAN90 code which determines the number of ways of achieving a given football score.
  467. football_scores_test
  468. freefem_msh_io, a FORTRAN90 code which reads and writes files used by FreeFem++ to store mesh information for the finite element method (FEM).
  469. freefem_msh_io_test
  470. fsolve, a FORTRAN90 code which solves systems of nonlinear equations, inspired by the fsolve() function in MATLAB, and based on the minpack() minimization package.
  471. fsolve_test
  472. fsplit, reads a FORTRAN file and creates individual files for every function, program, or subroutine in the file, by Van Snyder.
  473. fsplit_test
  474. gdb_test, FORTRAN90 codes which demonstrate the use of the Gnu Debugger GDB.
  475. gegenbauer_cc, a FORTRAN90 code which computes the Gegenbauer weighted integral of a function f(x) using a Clenshaw-Curtis approach.
  476. gegenbauer_cc_test
  477. gegenbauer_exactness, a FORTRAN90 code which tests the polynomial exactness of Gauss-Gegenbauer quadrature rules.
  478. gegenbauer_exactness_test
  479. gegenbauer_polynomial, a FORTRAN90 code which evaluates the Gegenbauer polynomial and associated functions.
  480. gegenbauer_polynomial_test
  481. gegenbauer_rule, a FORTRAN90 code which computes and writes out a Gauss-Gegenbauer quadrature rule of given order.
  482. gegenbauer_rule_test
  483. gen_hermite_exactness, a FORTRAN90 code which tests the polynomial exactness of generalized Gauss-Hermite quadrature rules.
  484. gen_hermite_exactness_test
  485. gen_hermite_rule, a FORTRAN90 code which computes and writes out a generalized Gauss-Hermite quadrature rule of given order and parameter value.
  486. gen_hermite_rule_test
  487. gen_laguerre_exactness, a FORTRAN90 code which tests the polynomial exactness of generalized Gauss-Laguerre quadrature rules.
  488. gen_laguerre_exactness_test
  489. gen_laguerre_rule, a FORTRAN90 code which computes and writes out a generalized Gauss-Laguerre quadrature rule of given order and parameter value.
  490. gen_laguerre_rule_test
  491. gene_cluster, a FORTRAN90 code which clusters sets of genetic expression data;
  492. gene_cluster_test
  493. geometry, a FORTRAN90 code which performs geometric calculations in 2, 3 and M dimensional space, including the computation of angles, areas, containment, distances, intersections, lengths, and volumes.
  494. geometry_test
  495. gfortran_test, FORTRAN90 codes which test various features of the gfortran() compiler.
  496. gfortran_intrinsics_test, a FORTRAN90 code which uses the intrinsic functions included by the gfortran compiler, above and beyond those specified in the FORTRAN language standards.
  497. gfortran_quadmath_test, a FORTRAN90 code which uses quadruple precision real arithmetic, as provided on some systems by the gfortran compiler for FORTRAN90.
  498. glomin, a FORTRAN90 code which finds a global minumum of a scalar function of a scalar variable, without the use of derivative information, by Richard Brent.
  499. glomin_test
  500. gmsh_io, a FORTRAN90 code which reads or writes some of the files created by gmsh() for 1D, 2D or 3D meshes used by the finite element method (FEM).
  501. gmsh_io_test
  502. gmsh_to_fem, a FORTRAN90 code which reads a mesh data file created by gmsh() and writes a pair of node and element files that correspond to the FEM format.
  503. gmsh_to_fem_test
  504. gnuplot_test, FORTRAN90 codes which use gnuplot() to create various kinds of plots.
  505. gprof_test, FORTRAN90 codes which demonstrate various features of the gprof() performance profiler.
  506. grafpack, a FORTRAN90 code which performs calculations on graphs;
  507. grafpack_test
  508. graph_paper, a FORTRAN90 code which makes PostScript (PS) graph paper;
  509. graph_paper_test
  510. graphics_dislin_test, FORTRAN90 codes which illustrate how various kinds of data can be displayed and analyzed graphically, using the dislin() graphics package.
  511. graphics_gnuplot_test, FORTRAN90 codes which illustrate how various kinds of data can be displayed and analyzed graphically, using the gnuplot() graphics package.
  512. grf_io, a FORTRAN90 code which reads or writes a GRF file which displays a mathematical graph;
  513. grf_io_test
  514. haar, a FORTRAN90 code which computes the Haar transform of data.
  515. haar_test
  516. halton, a FORTRAN90 code which computes a Halton Quasi Monte Carlo (QMC) sequence.
  517. halton_test
  518. hammersley, a FORTRAN90 code which computes a Hammersley Quasi Monte Carlo (QMC) sequence.
  519. hammersley_test
  520. hankel_cholesky, a FORTRAN90 code which computes the upper Cholesky factor R of a symmetric positive definite (SPD) Hankel matrix H, so that H = R' * R.
  521. hankel_cholesky_test
  522. hankel_spd, a FORTRAN90 code which computes a lower triangular matrix L which is the Cholesky factor of a symmetric positive definite (SPD) Hankel matrix H, that is, H = L * L'.
  523. hankel_spd_test
  524. hdf5_test, a FORTRAN90 code which demonstrates the use of the hdf5 compressed file storage format.
  525. heat_mpi, a FORTRAN90 code which solves the 1D time dependent heat equation using the Message Passing Interface (MPI).
  526. heat_mpi_test
  527. heated_plate, a FORTRAN90 code which solves the steady state heat equation in a 2D rectangular region, and is intended as a starting point for implementing an OpenMP parallel version.
  528. heated_plate_test
  529. heated_plate_openmp, a FORTRAN90 code which solves the steady time-independent heat equation in a 2D rectangular region, using OpenMP to run in parallel.
  530. heated_plate_openmp_test
  531. hello, a FORTRAN90 code which prints out "Hello, world!".
  532. hello_test
  533. hello_mpi, a FORTRAN90 code which prints out "Hello, world!" using MPI for parallel execution.
  534. hello_mpi_test
  535. hello_openmp, a FORTRAN90 code which prints out "Hello, world!", using OpenMP for parallel execution.
  536. hello_openmp_test
  537. hermite_cubic, a FORTRAN90 code which computes the value, derivatives or integral of a Hermite cubic polynomial, or manipulate an interpolating function made up of piecewise Hermite cubic polynomials.
  538. hermite_cubic_test
  539. hermite_exactness, a FORTRAN90 code which tests the polynomial exactness of Gauss-Hermite quadrature rules to estimate the integral of f(x) with density exp(-x^2) over the interval (-oo,+oo).
  540. hermite_exactness_test
  541. hermite_integrands, a FORTRAN90 code which defines test integrands for Hermite integrals with density exp(-x^2) over the interval (-oo,+oo).
  542. hermite_integrands_test
  543. hermite_interpolant, a FORTRAN90 code which computes the Hermite interpolant, a polynomial that matches function values and derivatives.
  544. hermite_interpolant_test
  545. hermite_polynomial, a FORTRAN90 code which evaluates the physicist's Hermite polynomial, the probabilist's Hermite polynomial, the Hermite function, and related functions.
  546. hermite_polynomial_test
  547. hermite_product_polynomial, a FORTRAN90 code which defines Hermite product polynomials, creating a multivariate polynomial as the product of univariate Hermite polynomials.
  548. hermite_product_polynomial_test
  549. hermite_rule, a FORTRAN90 code which computes and writes out a Gauss-Hermite quadrature rule to estimate the integral of a function with density exp(-x^2) over the interval (-oo,+oo).
  550. hermite_rule_test
  551. high_card_simulation, a FORTRAN90 code which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop; gnuplot() creates a graph of the results.
  552. high_card_simulation_test
  553. hilbert_curve, a FORTRAN90 code which computes the sequence of discrete Hilbert curves whose limit is a space-filling curve.
  554. hilbert_curve_test
  555. histogram_data_2d_sample, a FORTRAN90 code which constructs a Probability Density Function (PDF) from sample data over a 2D domain, and then to use that PDF to create new samples.
  556. histogram_data_2d_sample_test
  557. humps, a FORTRAN90 code which evaluates the humps function, its first and second derivatives, and its antiderivative.
  558. humps_test
  559. hyperball_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.
  560. hyperball_integrals_test
  561. hyperball_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit ball in M dimensions;
  562. hyperball_monte_carlo_test
  563. hyperball_volume_monte_carlo, a FORTRAN90 code which applies a Monte Carlo procedure to estimate the volume of the unit ball in M dimensions;
  564. hyperball_volume_monte_carlo_test
  565. hyperball_volume_quad, a FORTRAN90 code which estimates the volume of the unit ball in M dimensions.
  566. hyperball_volume_quad_test
  567. hypercube_exactness, a FORTRAN90 code which tests the polynomial exactness of a quadrature rule over the interior of the unit hypercube in M dimensions.
  568. hypercube_exactness_test
  569. hypercube_grid, a FORTRAN90 code which computes a grid of points over the interior of a hypercube in M dimensions.
  570. hypercube_grid_test
  571. hypercube_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.
  572. hypercube_integrals_test
  573. hypercube_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit hypercube in M dimensions.
  574. hypercube_monte_carlo_test
  575. hypersphere_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.
  576. hypersphere_integrals_test
  577. hypersphere_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in M dimensions;
  578. hypersphere_monte_carlo_test
  579. hypersphere_properties, a FORTRAN90 code which carries out various operations for an M dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.
  580. hypersphere_properties_test
  581. i4lib, a FORTRAN90 code which contains utilities which use single precision integer (I4) arithmetic.
  582. i4lib_test
  583. i8lib, a FORTRAN90 code which contains many utility routines, using double precision integer (I8) arithmetic.
  584. i8lib_test
  585. ieee_uniform_sample, a FORTRAN90 code which uniformly samples the discrete set of values that represent the legal IEEE real numbers;
  586. ieee_uniform_sample_test
  587. image_components, a FORTRAN90 code which seeks the connected nonzero or nonblack components of an image or integer array.
  588. image_components_test
  589. image_denoise, a FORTRAN90 code which applies simple filtering operations to a noisy image.
  590. image_denoise_test
  591. image_edge, a FORTRAN90 code which detects edges in images.
  592. image_edge_test
  593. include_files, a FORTRAN90 code which reads a FORTRAN90 file with include statements, and makes a copy in which the indicated files have been included;
  594. include_files_test
  595. index, a FORTRAN90 code which converts a multidimensional vector index to a one-dimensional vector index; it can handle zero and one based indexing schemes, as well as column major and row major conventions.
  596. index_test
  597. interp, a FORTRAN90 code which parameterizies and interpolates data;
  598. interp_test
  599. intlib, a FORTRAN90 code which carries out approximate integration (quadrature) in one dimension;
  600. intlib_test
  601. isbn, a FORTRAN90 code which determines the check digit for an International Standard Book Number or reports whether a given ISBN is valid.
  602. isbn_test
  603. ising_2d_simulation, a FORTRAN90 code which simulates evolution of a 2D array of positive and negative charges, each of which is likely to flip to be in agreement with neighbors, using gnuplot() to make images of the initial and final configurations.
  604. ising_2d_simulation_test
  605. ising_3d_simulation, a FORTRAN90 code which simulates evolution of a 3D array of positive and negative charges, each of which is likely to flip to be in agreement with neighbors.
  606. ising_3d_simulation_test
  607. jacobi, a FORTRAN90 code which implements the Jacobi method for the iterative solution of linear systems.
  608. jacobi_test
  609. jacobi_eigenvalue, a FORTRAN90 code which implements the Jacobi iteration for the determination of the eigenvalues and eigenvectors of a real symmetric matrix.
  610. jacobi_eigenvalue_test
  611. jacobi_exactness, a FORTRAN90 code which tests the polynomial exactness of quadrature rules for integrals with a Jacobi weight function.
  612. jacobi_exactness_test
  613. jacobi_openmp, a FORTRAN90 code which uses OpenMP to parallelize a Jacobi iteration for solving A*x=b.
  614. jacobi_openmp_test
  615. jacobi_polynomial, a FORTRAN90 code which evaluates the Jacobi polynomial and associated functions.
  616. jacobi_polynomial_test
  617. jacobi_rule, a FORTRAN90 code which computes a Gauss-Jacobi quadrature rule of given order.
  618. jacobi_rule_test
  619. ketel_one, a FORTRAN90 code which finds all words formed from the letters in "ketel one vodka";
  620. ketel_one_test
  621. kmeans, a FORTRAN90 code which handles the K-Means problem, which organizes N points in M dimensions into K clusters;
  622. kmeans_test
  623. knapsack_01, a FORTRAN90 code which uses brute force to solve small versions of the 0/1 knapsack problem;
  624. knapsack_01_test
  625. kronrod, a FORTRAN90 code which computes a Gauss and Gauss-Kronrod pair of quadrature rules of arbitrary order, by Robert Piessens, Maria Branders.
  626. kronrod_test
  627. lagrange_approx_1d, a FORTRAN90 code which evaluates the Lagrange polynomial p(x) of degree m which approximates n data points (x(i),y(i)).
  628. lagrange_approx_1d_test
  629. lagrange_interp_1d, a FORTRAN90 code which evaluates the Lagrange polynomial p(x) which interpolates data depending on a 1D argument, so that p(x(i)) = y(i).
  630. lagrange_interp_1d_test
  631. lagrange_interp_2d, a FORTRAN90 code which evaluates the Lagrange polynomial p(x,y) which interpolates data depending on a 2D argument that was evaluated on a product grid, so that p(x(i),y(j)) = z(i,j).
  632. lagrange_interp_2d_test
  633. lagrange_interp_nd, a FORTRAN90 code which evaluates the Lagrange polynomial p(x) which interpolates data depending on a multidimensional argument that was evaluated on a product grid, so that p(x(i)) = z(i).
  634. lagrange_interp_nd_test
  635. lagrange_nd, a FORTRAN90 code which implements several multivariate Lagrange interpolation schemes developed by Tomas Sauer.
  636. lagrange_nd_test
  637. laguerre_exactness, a FORTRAN90 code which tests the polynomial exactness of Gauss-Laguerre quadrature rules for estimating the integral of a function with density exp(-x) over the interval [0,+oo).
  638. laguerre_exactness_test
  639. laguerre_integrands, a FORTRAN90 code which implements test problems for Gauss-Laguerre quadrature rules for estimating the integral of a function with density exp(-x) over the interval [0,+oo).
  640. laguerre_integrands_test
  641. laguerre_polynomial, a FORTRAN90 code which evaluates the Laguerre polynomial, the generalized Laguerre polynomials, and the Laguerre function.
  642. laguerre_polynomial_test
  643. laguerre_rule, a FORTRAN90 code which computes a Gauss-Laguerre quadrature rule for estimating the integral of a function with density exp(-x) over the interval [0,+oo).
  644. laguerre_rule_test
  645. lapack_d, a FORTRAN90 code which is the double precision real version of the LAPACK linear algebra code.
  646. lapack_d_test
  647. laplacian, a FORTRAN90 code which carries out computations related to the discrete Laplacian operator, including full or sparse evaluation, evaluation for unequally spaced data sampling points, application to data samples, solution of associated linear systems, eigenvalues and eigenvectors, and extension to 2D and 3D geometry.
  648. laplacian_test
  649. latin_cover, a FORTRAN90 code which produces N Latin squares which cover an NxN square, or NxN Latin cubes which cover an NxNxN cube.
  650. latin_cover_test
  651. latinize, a FORTRAN90 code which adjusts N points in M dimensions to form a Latin hypercube.
  652. latinize_test
  653. lattice_rule, a FORTRAN90 code which returns lattice rules for M-dimensional integration;
  654. lattice_rule_test
  655. lau_np, a FORTRAN90 code which implements heuristic algorithms for various NP-hard combinatorial problems, including the integer linear programming problem, the K-center problem, the K-median problem, the 0-1 knapsack problem, the multiple knapsack problem, the graph matching problem, the graph partitioning problem, the minimal Steiner tree problem, and the traveling salesman problem;
  656. lau_np_test
  657. laupack, a FORTRAN90 code which carries out various operations on graphs.
  658. laupack_test
  659. lcvt, a FORTRAN90 code which creates a sort of Latin Square Centroidal Voronoi Tessellation (CVT);
  660. lcvt_test
  661. lebesgue, a FORTRAN90 code which plots the Lebesgue function for 1D nodes, and estimates the Lebesgue constant, the maximum magnitude of the potential error of Lagrange polynomial interpolation.
  662. lebesgue_test
  663. legendre_exactness, a FORTRAN90 code which tests the monomial exactness of quadrature rules for the Legendre problem of integrating a function with density 1 over the interval [-1,+1].
  664. legendre_exactness_test
  665. legendre_polynomial, a FORTRAN90 code which evaluates the Legendre polynomial and associated functions.
  666. legendre_polynomial_test
  667. legendre_product_polynomial, a FORTRAN90 code which defines Legendre product polynomials, creating a multivariate polynomial as the product of univariate Legendre polynomials.
  668. legendre_product_polynomial_test
  669. legendre_rule, a FORTRAN90 code which computes a Gauss-Legendre quadrature rule of given order.
  670. legendre_rule_test
  671. legendre_rule_fast, a FORTRAN90 code which uses a fast, order N, algorithm to compute a Gauss-Legendre quadrature rule.
  672. legendre_rule_fast_test
  673. legendre_shifted_polynomial, a FORTRAN90 code which evaluates the shifted Legendre polynomial, with the domain [0,1].
  674. legendre_shifted_polynomial_test
  675. levenshtein, a FORTRAN90 code which returns the Levenshtein distance between two strings.
  676. levenshtein_test
  677. life_serial, a FORTRAN90 code which computes a few steps of the evolution of John Conway's Game of Life, intended as a starting point for implementing a parallel version.
  678. life_serial_test
  679. line_cvt_lloyd, a FORTRAN90 code which applies the Lloyd iteration repeatedly to N points, to compute a Centroidal Voronoi Tessellation (CVT) over the interior of a line segment in 1D.
  680. line_cvt_lloyd_test
  681. line_fekete_rule, a FORTRAN90 code which estimates the location of N Fekete points, for polynomial interpolation or quadrature, over the interior of a line segment in 1D.
  682. line_fekete_rule_test
  683. line_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a line segment in 1D.
  684. line_felippa_rule_test
  685. line_grid, a FORTRAN90 code which computes a grid of points over the interior of a line segment in 1D.
  686. line_grid_test
  687. line_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
  688. line_integrals_test
  689. line_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the length of the unit line in 1D.
  690. line_monte_carlo_test
  691. line_ncc_rule, a FORTRAN90 code which computes a Newton Cotes Closed (NCC) quadrature rule, using equally spaced points, over the interior of a line segment in 1D.
  692. line_ncc_rule_test
  693. line_nco_rule, a FORTRAN90 code which computes a Newton Cotes Open (NCO) quadrature rule, using equally spaced points, over the interior of a line segment in 1D.
  694. line_nco_rule_test
  695. linpack_bench, a FORTRAN90 code which carries out the LINPACK benchmark;
  696. linpack_bench_test
  697. linpack_d, a FORTRAN90 code which factors and solves linear systems using double precision real arithmetic, by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
  698. linpack_d_test
  699. linpack_z, a FORTRAN90 code which factors and solves linear systems using double precision complex arithmetic, by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
  700. linpack_z_test
  701. llsq, a FORTRAN90 code which solves the simple linear least squares (LLS) problem of finding the formula of a straight line y=a*x+b which minimizes the root mean square error to N data points.
  702. llsq_test
  703. lobatto_polynomial, a FORTRAN90 code which evaluates Lobatto polynomials similar to Legendre polynomials except that they are 0 at both endpoints.
  704. lobatto_polynomial_test
  705. local_min, a FORTRAN90 code which finds a local minimum of a scalar function of a scalar variable, without the use of derivative information, by Richard Brent.
  706. local_min_test
  707. local_min_rc, a FORTRAN90 code which finds a local minimum of a scalar function of a scalar variable, without the use of derivative information, using reverse communication (RC), by Richard Brent.
  708. local_min_rc_test
  709. log_normal, a FORTRAN90 code which returns quantities related to the log normal Probability Distribution Function (PDF).
  710. log_normal_test
  711. log_normal_truncated_ab, a FORTRAN90 code which returns quantities related to the log normal Probability Distribution Function (PDF) truncated to the interval [A,B].
  712. log_normal_truncated_ab_test
  713. lorenz_ode, a FORTRAN90 code which approximates solutions to the Lorenz system of ordinary differential equations (ODE), creating output files that can be displayed by gnuplot().
  714. lorenz_ode_test
  715. luhn, a FORTRAN90 code which computes the Luhn check digit for a string, or verifies a string, as used for error detection in credit card numbers.
  716. luhn_test
  717. machar, a FORTRAN90 code which dynamically computes the values of various machine characteristic constants by William Cody;
  718. machar_test
  719. machine, a FORTRAN90 code which returns tabulated values of the constants associated with computer arithmetic;
  720. machine_test
  721. makefile_test, FORTRAN90 codes which use a makefile for maintaining a software project;
  722. mandelbrot, a FORTRAN90 code which generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot fractal set;
  723. mandelbrot_test
  724. mandelbrot_openmp, a FORTRAN90 code which generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot fractal set, using OpenMP for parallel execution;
  725. mandelbrot_openmp_test
  726. mario, a FORTRAN90 code which creates a sort of "needlepoint" image of Mario, as an array of colored squares.
  727. mario_test
  728. matrix_exponential, a FORTRAN90 code which demonstrates some simple approaches to the problem of computing the exponential of a matrix;
  729. matrix_exponential_test
  730. md, a FORTRAN90 code which carries out a molecular dynamics simulation, and is intended as a starting point for implementing an OpenMP parallel version;
  731. md_test
  732. md_openmp, a FORTRAN90 code which carries out a molecular dynamics simulation in parallel using OpenMP;
  733. md_openmp_test
  734. memory, a FORTRAN90 code which declares and uses a sequence of larger and larger arrays, to see what the memory limits are on a given computer.
  735. memory_test
  736. mesh_bandwidth, a FORTRAN90 code which returns the geometric bandwidth associated with a mesh of elements of any order and in a space of M dimensions.
  737. mesh_bandwidth_test
  738. meshless, a FORTRAN90 code which uses a centroidal Voronoi tessellation (CVT) to determine a meshless grid, by Lili Ju;
  739. meshless_test
  740. mgmres, a FORTRAN90 code which applies the restarted Generalized Minimum Residual (GMRES) algorithm to solve a sparse linear system, using Compressed Row Storage (CRS) or sparse triplet (ST) format, by Lili Ju.
  741. mgmres_test
  742. midpoint_explicit, a FORTRAN90 code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.
  743. midpoint_explicit_test
  744. midpoint_fixed, a FORTRAN90 code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, using a fixed point iteration for the nonlinear equation.
  745. midpoint_fixed_test
  746. minpack, a FORTRAN90 code which solves systems of nonlinear equations, or the least squares minimization of the residual of linear or nonlinear equations, by Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom.
  747. minpack_test
  748. monomial, a FORTRAN90 code which enumerates, lists, ranks, unranks and randomizes multivariate monomials in a space of M dimensions, with total degree less than N, equal to N, or lying within a given range.
  749. monomial_test
  750. monomial_value, a FORTRAN90 code which evaluates a monomial in M dimensions.
  751. monomial_value_test
  752. mpi_test, FORTRAN90 codes which uses the message passing interface (MPI) for parallel processing on distributed memory systems;
  753. muller, a FORTRAN90 code which seeks a root of a nonlinear equation using the Muller method, with complex arithmetic.
  754. muller_test
  755. multigrid_poisson_1d, a FORTRAN90 code which applies the multigrid method to a discretized version of the 1D Poisson equation.
  756. multigrid_poisson_1d_test
  757. mumps_test, calls mumps(), which efficiently solves large systems of linear equations.
  758. mxm_openmp, a FORTRAN90 code which computes a dense matrix product C=A*B, using OpenMP for parallel execution.
  759. mxm_openmp_test
  760. naca, a FORTRAN90 code which takes the parameters of certain NACA airfoils and returns the coordinates of a sequence of points that outline the wing shape. The points can be plotted with gnuplot().
  761. naca_test
  762. nas, a FORTRAN90 code which runs the NASA kernel benchmark.
  763. nas_test
  764. navier_stokes_2d_exact, a FORTRAN90 code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.
  765. navier_stokes_2d_exact_test
  766. navier_stokes_3d_exact, a FORTRAN90 code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 3D.
  767. navier_stokes_3d_exact_test
  768. nearest_interp_1d, a FORTRAN90 code which interpolates data using a piecewise constant interpolant defined by the nearest neighbor criterion, creating graphics files for processing by gnuplot().
  769. nearest_interp_1d_test
  770. netcdf_test, FORTRAN90 codes which use netcdf() to read and write portable compressed data files.
  771. newton_interp_1d, a FORTRAN90 code which finds a polynomial interpolant to data using Newton divided differences.
  772. newton_interp_1d_test
  773. newton_rc, a FORTRAN90 code which solves a system of nonlinear equations by Newton's method, using reverse communication (RC).
  774. newton_rc_test
  775. niederreiter2, a FORTRAN90 code which computes elements of the Niederreiter Quasi Mont Carlo (QMC) M-dimensional sequence, using base 2;
  776. niederreiter2_test
  777. nintlib, a FORTRAN90 code which carries out approximate integration (quadrature) in M dimensions;
  778. nintlib_test
  779. nms, a FORTRAN90 code which includes a wide variety of numerical software, including solvers for linear systems of equations, interpolation of data, numerical quadrature, linear least squares (LLS) data fitting, the solution of nonlinear equations, ordinary differential equations (ODE), optimization and nonlinear least squares (NLS), simulation and random numbers, trigonometric approximation and Fast Fourier Transforms (FFT).
  780. nms_test
  781. normal, a FORTRAN90 code which implements a random number generator (RNG) for normally distributed values;
  782. normal_test
  783. ode, a FORTRAN90 code which solves a system of ordinary differential equations (ODE), by Shampine and Gordon;
  784. ode_test
  785. openmp_test, FORTRAN90 codes which use OpenMP for parallel execution;
  786. optimize_test, FORTRAN90 codes which looks at the use of automatic optimization by the compiler to make the executable code run faster.
  787. ornstein_uhlenbeck, a FORTRAN90 code which approximates solutions of the Ornstein-Uhlenbeck stochastic ordinary differential equation (SODE) using the Euler method, the Euler-Maruyama method, and the Milstein method, and creating graphics files for processing by gnuplot().
  788. ornstein_uhlenbeck_test
  789. padua, a FORTRAN90 code which returns the coordinates of the 2D Padua points, as well as interpolation weights or quadrature weights, and images of the points in gnuplot() graphics files.
  790. padua_test
  791. partial_digest, a FORTRAN90 code which solves the partial digest problem;
  792. partial_digest_test
  793. partition_problem, a FORTRAN90 code which seeks solutions of the partition problem, splitting integers into two subsets with equal sum.
  794. partition_problem_test
  795. patterson_rule, a FORTRAN90 code which returns the points and weights of a 1D Gauss-Patterson quadrature rule of order 1, 3, 7, 15, 31, 63, 127, 255 or 511.
  796. patterson_rule_test
  797. pbma_io, a FORTRAN90 code which reads or writes ASCII Portable Bit Map (PBM) 2D graphics files;
  798. pbma_io_test
  799. pdflib, a FORTRAN90 code which evaluates Probability Density Functions (PDF) and produces random samples from them, including beta, binomial, chi, exponential, gamma, inverse chi, inverse gamma, multinomial, normal, scaled inverse chi, and uniform.
  800. pdflib_test
  801. persistence, a FORTRAN90 code which demonstrates how to initialize, get, or set data stored within a function, using static/persistent/saved/local memory.
  802. persistence_test
  803. pgma_io, a FORTRAN90 code which reads or writes ASCII Portable Gray Map (PGM) 2D graphics files;
  804. pgma_io_test
  805. pink_noise, a FORTRAN90 code which computes a pink noise signal obeying a 1/f power law.
  806. pink_noise_test
  807. plot_to_ps, a FORTRAN90 code which reads simple text commands and creates a PostScript (PS) image;
  808. plot_to_ps_test
  809. poisson_openmp, a FORTRAN90 code which computes an approximate solution to the Poisson equation in a rectangle, using the Jacobi iteration to solve the linear system, and OpenMP to carry out the Jacobi iteration in parallel.
  810. poisson_openmp_test
  811. poisson_simulation, a FORTRAN90 code which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda, creating graphics files for processing by gnuplot().
  812. poisson_simulation_test
  813. polpak, a FORTRAN90 code which evaluates a variety of mathematical functions, including Chebyshev, Gegenbauer, Hermite, Jacobi, Laguerre, Legendre polynomials, and the Collatz sequence.
  814. polpak_test
  815. polygon_grid, a FORTRAN90 code which generates a grid of points over the interior of a polygon in 2D.
  816. polygon_grid_test
  817. polygon_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.
  818. polygon_integrals_test
  819. polygon_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the interior of a polygon in 2D.
  820. polygon_monte_carlo_test
  821. polygon_properties, a FORTRAN90 code which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling.
  822. polygon_properties_test
  823. polygon_triangulate, a FORTRAN90 code which triangulates a possibly nonconvex polygon in 2D, and which uses gnuplot() to display the external edges and internal diagonals of the triangulation.
  824. polygon_triangulate_test
  825. polynomial, a FORTRAN90 code which adds, multiplies, differentiates, evaluates and prints multivariate polynomials in a space of M dimensions.
  826. polynomial_test
  827. polynomials, a FORTRAN90 code which defines multivariate polynomials over rectangular domains, for which certain information is to be determined, such as the maximum and minimum values.
  828. polynomials_test
  829. polyominoes, a FORTRAN90 code which manipulates polyominoes and tilings.
  830. polyominoes_test
  831. power_method, a FORTRAN90 code which carries out the power method for finding a dominant eigenvalue and its eigenvector.
  832. power_method_test
  833. power_rule, a FORTRAN90 code which constructs a power rule, that is, a product quadrature rule from identical 1D factor rules.
  834. power_rule_test
  835. ppma_io, a FORTRAN90 code which reads or writes ASCII Portable Pixel Map (PPM) 2D color graphics files;
  836. ppma_io_test
  837. pppack, a FORTRAN90 code which computes piecewise polynomial interpolants and approximants, in particular, cubic splines, by Carl de Boor.
  838. pppack_test
  839. praxis, a FORTRAN90 code which minimizes a scalar function of several variables, without requiring derivative information, by Richard Brent.
  840. praxis_test
  841. predator_prey_ode, a FORTRAN90 code which solves a time-dependent predator-prey system of ordinary differential equations (ODE).
  842. predator_prey_ode_test
  843. prime_mpi, a FORTRAN90 code which counts the number of primes between 1 and N, using MPI for parallel execution.
  844. prime_mpi_test
  845. prime_openmp, a FORTRAN90 code which counts the number of primes between 1 and N, using OpenMP for parallel execution.
  846. prime_openmp_test
  847. prob, a FORTRAN90 code which evaluates, samples, inverts, and characterizes Probability Density Functions (PDF) and Cumulative Density Functions (CDF), including anglit, arcsin, benford, birthday, bernoulli, beta_binomial, beta, binomial, bradford, burr, cardiod, cauchy, chi, chi squared, circular, cosine, deranged, dipole, dirichlet mixture, discrete, empirical, english sentence and word length, error, exponential, extreme values, f, fisk, folded normal, frechet, gamma, generalized logistic, geometric, gompertz, gumbel, half normal, hypergeometric, inverse gaussian, laplace, levy, logistic, log normal, log series, log uniform, lorentz, maxwell, multinomial, nakagami, negative binomial, normal, pareto, planck, poisson, power, quasigeometric, rayleigh, reciprocal, runs, sech, semicircular, student t, triangle, uniform, von mises, weibull, zipf.
  848. prob_test
  849. product_rule, a FORTRAN90 code which creates an M-dimensional quadrature rule from a product of distinct 1d quadrature rules;
  850. product_rule_test
  851. pwl_approx_1d, a FORTRAN90 code which approximates data using a piecewise linear function.
  852. pwl_approx_1d_test
  853. pwl_interp_1d, a FORTRAN90 code which interpolates data using a piecewise linear function.
  854. pwl_interp_1d_test
  855. pwl_interp_2d, a FORTRAN90 code which evaluates a piecewise linear interpolant to data defined on a regular 2D grid.
  856. pwl_interp_2d_test
  857. pwl_interp_2d_scattered, a FORTRAN90 code which evaluates a piecewise linear interpolant to data which is available at an irregularly arranged set of points.
  858. pwl_interp_2d_scattered_test
  859. pwl_product_integral, a FORTRAN90 code which calculates the exact value of the integral of the product of two piecewise linear functions f(x) and g(x).
  860. pwl_product_integral_test
  861. pyramid_exactness, a FORTRAN90 code which investigates the polynomial exactness of a quadrature rule over the interior of the unit pyramid in 3D.
  862. pyramid_exactness_test
  863. pyramid_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a pyramid in 3D.
  864. pyramid_felippa_rule_test
  865. pyramid_grid, a FORTRAN90 code which computes a grid of points over the interior of the unit pyramid in 3D;
  866. pyramid_grid_test
  867. pyramid_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.
  868. pyramid_integrals_test
  869. pyramid_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3D;
  870. pyramid_monte_carlo_test
  871. pyramid_rule, a FORTRAN90 code which computes a quadrature rule over the interior of the unit pyramid in 3D.
  872. pyramid_rule_test
  873. qr_solve, a FORTRAN90 code which computes the linear least squares (LLS) solution of a system A*x=b.
  874. qr_solve_test
  875. quad_mesh, a FORTRAN90 code which handles meshes of quadrilaterals over a 2D region;
  876. quad_mesh_test
  877. quad_mesh_rcm, a FORTRAN90 code which computes the Reverse Cuthill McKee (RCM) reordering for nodes in a mesh of 4-node quadrilaterals.
  878. quad_mesh_rcm_test
  879. quad_mpi, a FORTRAN90 code which applies a quadrature rule to estimate an integral, using MPI;
  880. quad_mpi_test
  881. quad_openmp, a FORTRAN90 code which applies a quadrature rule to estimate an integral over a 1D interval, using OpenMP for parallel execution;
  882. quad_openmp_test
  883. quadmom, a FORTRAN90 code which computes a Gaussian quadrature rule for a weight function rho(x) based on the Golub-Welsch procedure that only requires knowledge of the moments of rho(x).
  884. quadmom_test
  885. quadrature_golub_welsch, a FORTRAN90 code which computes the points and weights of a Gaussian quadrature rule using the Golub-Welsch procedure.
  886. quadrature_golub_welsch_test
  887. quadrature_least_squares, a FORTRAN90 code which computes weights for sub-interpolatory quadrature rules, that is, it estimates integrals by integrating a polynomial that approximates the function data in a least squares sense.
  888. quadrature_least_squares_test
  889. quadrule, a FORTRAN90 code which implements rules for approximate integration (quadrature) in one dimension;
  890. quadrule_test
  891. quality, a FORTRAN90 code which computes quality of distribution measures for pointsets in M dimensions;
  892. quality_test
  893. quaternions, a FORTRAN90 code which carries out some simple arithmetic operations for quaternions.
  894. quaternions_test
  895. quotes, a FORTRAN90 code which prints a random quote from a file;
  896. quotes_test
  897. r83, a FORTRAN90 code which contains linear algebra routines for r83 matrices (real, 64 bit, tridiagonal 3xN format).
  898. r83_test
  899. r8col, a FORTRAN90 code which contains utility routines for an R8COL, that is, a double precision real MxN array, considered as N column vectors, each of length M. The data may be thought of as a matrix of multiple columns, and many operations will be carried out columnwise.
  900. r8col_test
  901. r8ge, a FORTRAN90 code which contains linear algebra routines for R8GE matrices (real, 64 bit, General format).
  902. r8ge_test
  903. r8lib, a FORTRAN90 code which contains many utility routines, using double precision real (R8) arithmetic.
  904. r8lib_test
  905. r8lt, a FORTRAN90 code which contains linear algebra routines for R8LT matrices (real, 64 bit, Lower Triangular).
  906. r8lt_test
  907. r8poly, a FORTRAN90 code which contains utilities for polynomials with R8 coefficients, that is, using double precision or 64 bit real arithmetic.
  908. r8poly_test
  909. r8row, a FORTRAN90 code which contains utilities for an R8ROW, that is, a double precision real MxN array, considered as M row vectors, each of length N. The data may be thought of as a matrix of multiple rows, and many operations will be carried out rowwise.
  910. r8row_test
  911. r8st, a FORTRAN90 code which contains linear algebra routines for R8ST matrices (real, 64 bit, Sparse Triplet).
  912. r8st_test
  913. r8ut, a FORTRAN90 code which contains linear algebra routines for R8UT matrices (real, 64 bit, Upper Triangular).
  914. r8ut_test
  915. randlc, a FORTRAN90 code which implements a random number generator (RNG) used by the NAS Benchmarks.
  916. randlc_test
  917. random_data, a FORTRAN90 code which uses a random number generator (RNG) to sample points distributed according to various probability density functions (PDF), spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.
  918. random_data_test
  919. random_mpi, a FORTRAN90 code which demonstrates one way to generate the same sequence of values from a random number generatore (RNG) for both sequential execution and parallel execution under MPI.
  920. random_mpi_test
  921. random_openmp, a FORTRAN90 code which illustrates how a parallel program using OpenMP can generate multiple distinct streams of random numbers.
  922. random_openmp_test
  923. random_sorted, a FORTRAN90 code which uses a random number generator (RNG) to create a vector of random values which are already sorted.
  924. random_sorted_test
  925. ranlib, a FORTRAN90 code which a library of random number generators (RNG), which produces random samples from Probability Density Functions (PDF), including Beta, Chi-square Exponential, F, Gamma, Multivariate normal, Noncentral chi-square, Noncentral F, Univariate normal, random permutations, Real uniform, Binomial, Negative Binomial, Multinomial, Poisson and Integer uniform, by Barry Brown and James Lovato.
  926. ranlib_test
  927. ranmap, a FORTRAN90 code which creates a PostScript (PS) file of images of iterated affine mappings;
  928. ranmap_test
  929. rbf_interp_1d, a FORTRAN90 code which defines and evaluates radial basis function (RBF) interpolants to 1D data.
  930. rbf_interp_1d_test
  931. rbf_interp_2d, a FORTRAN90 code which defines and evaluates radial basis function (RBF) interpolants to 2D data.
  932. rbf_interp_2d_test
  933. rbf_interp_nd, a FORTRAN90 code which defines and evaluates radial basis function (RBF) interpolants to multidimensional data.
  934. rbf_interp_nd_test
  935. reactor simulation, a FORTRAN90 code which is a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This code was provided with the book "Numerical Methods and Software."
  936. reactor simulation_test
  937. real_precision_test, FORTRAN90 codes which investigate the occasionally awkward methods for requesting a real data type with given precision. This is the preferred method for requesting double or quadruple precision arithmetic;
  938. region, a FORTRAN90 code which reads 3D MRI voxel data, and groups the voxels into connected regions;
  939. region_test
  940. ring_mpi, a FORTRAN90 code which uses the MPI parallel environment, and measures the time necessary to copy data around a ring of processes.
  941. ring_mpi_test
  942. rk4, a FORTRAN90 code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE).
  943. rk4_test
  944. rkf45, a FORTRAN90 code which applies a Runge-Kutta-Fehlberg (RKF) solver to a system of ordinary differential equations (ODE);
  945. rkf45_test
  946. rnglib, a FORTRAN90 code which implements a random number generator (RNG) with splitting facilities, allowing multiple independent streams to be computed, by L'Ecuyer and Cote.
  947. rnglib_test
  948. root_rc, a FORTRAN90 code which seeks a solution of a scalar nonlinear equation f(x)=0, using reverse communication (RC), by Gaston Gonnet.
  949. root_rc_test
  950. roots_rc, a FORTRAN90 code which seeks solutions of a system of nonlinear equations, using reverse communication (RC), by Gaston Gonnet.
  951. roots_rc_test
  952. rot13, a FORTRAN90 code which makes a copy of a file which has been encoded using the ROT13 coding and a ROT5 coding for digits.
  953. rot13_test
  954. row_echelon_integer, a FORTRAN90 code which carries out the exact computation of the integer row echelon form (IREF) and integer reduced row echelon form (IRREF) of an integer matrix.
  955. row_echelon_integer_test
  956. satisfy, a FORTRAN90 code which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem.
  957. satisfy_test
  958. satisfy_mpi, a FORTRAN90 code which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem, using MPI to perform the calculation in parallel.
  959. satisfy_mpi_test
  960. satisfy_openmp, a FORTRAN90 code which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem, using OpenMP for parallel execution.
  961. satisfy_openmp_test
  962. schedule_openmp, a FORTRAN90 code which demonstrates the default, static, and dynamic methods of scheduling loop iterations in OpenMP to avoid work imbalance.
  963. schedule_openmp_test
  964. sde, a FORTRAN90 code which illustrates properties of stochastic ordinary differential equations (SODE), and common algorithms for their analysis, including the Euler method, the Euler-Maruyama method, and the Milstein method, making graphics files for processing and display by gnuplot(), by Desmond Higham;
  965. sde_test
  966. search_mpi, a FORTRAN90 code which searches integers between A and B for a solution J such that F(J)=C, carried out in parallel using MPI.
  967. search_mpi_test
  968. sftpack, a FORTRAN90 code which implements the slow Fourier transform, intended as a teaching tool and comparison with the Fast Fourier Transform (FFT).
  969. sftpack_test
  970. shallow_water_1d, a FORTRAN90 code which simulates the evolution of a 1D fluid governed by the time-dependent shallow water equations.
  971. shallow_water_1d_test
  972. shepard_interp_1d, a FORTRAN90 code which defines and evaluates Shepard interpolants to 1D data, based on inverse distance weighting.
  973. shepard_interp_1d_test
  974. shepard_interp_2d, a FORTRAN90 code which defines and evaluates Shepard interpolants to 2D data, based on inverse distance weighting.
  975. shepard_interp_2d_test
  976. shepard_interp_nd, a FORTRAN90 code which defines and evaluates Shepard interpolants to multidimensional data, based on inverse distance weighting.
  977. shepard_interp_nd_test
  978. simplex_coordinates, a FORTRAN90 code which computes the Cartesian coordinates of the vertices of a regular simplex in M dimensions.
  979. simplex_coordinates_test
  980. simplex_gm_rule, a FORTRAN90 code which defines Grundmann-Moeller quadrature rules over the interior of a triangle in 2D, a tetrahedron in 3D, or over the interior of the simplex in M dimensions.
  981. simplex_gm_rule_test
  982. simplex_grid, a FORTRAN90 code which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.
  983. simplex_grid_test
  984. simplex_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
  985. simplex_integrals_test
  986. simplex_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of the unit simplex in M dimensions.
  987. simplex_monte_carlo_test
  988. sine_transform, a FORTRAN90 code which demonstrates some simple properties of the discrete sine transform (DST).
  989. sine_transform_test
  990. snakes_and_ladders, FORTRAN90 codes which simulate and investigate a one-player version of the game of Snakes and Ladders.
  991. snakes_and_ladders_test
  992. sncndn, a FORTRAN90 code which evaluates the Jacobi elliptic functions SN, CN, and DN.
  993. sncndn_test
  994. sobol, a FORTRAN90 code which evaluates the Sobol Quasi Mont Carlo (QMC) M dimensional sequence, by Bennett Fox.
  995. sobol_test
  996. solve, a FORTRAN90 code which demonstrates how Gauss elimination can be used to solve a linear system A*x=b.
  997. solve_test
  998. sort_rc, a FORTRAN90 code which sorts a list of any kind of objects, using reverse communication (RC).
  999. sort_rc_test
  1000. sparse_display, a FORTRAN90 code which reads information defining a matrix of numbers and displays the sparsity pattern or location of the nonzero elements using gnuplot(). This operation is already available in the built-in MATLAB spy() command.
  1001. sparse_display_test
  1002. sparse_grid_hw, a FORTRAN90 code which creates sparse grids based on Gauss-Legendre, Gauss-Hermite, Gauss-Patterson, or a nested variation of Gauss-Hermite rules, by Florian Heiss and Viktor Winschel.
  1003. sparse_grid_hw_test
  1004. sparse_interp_nd, a FORTRAN90 code which defines a sparse interpolant to a function f(x) of a multidimensional argument.
  1005. sparse_interp_nd_test
  1006. specfun, a FORTRAN90 code which evaluates special functions, including Bessel I, J, K and Y functions, Dawson Integral, Error (Erf), Exponential Integral (E1 and EI), Gamma, log Gamma, and Psi/Digamma, by William Cody and Laura Stoltz;
  1007. specfun_test
  1008. special_functions, a FORTRAN90 code which evaluates special functions, including Airy, Associated Legendre Bessel, Beta, Complete Elliptic Integral, Confluent Hypergeometric, Cosine Integral, Elliptic Integral, Error, Exponential Integral, Fresnel Integral, Gamma, Hankel, Hypergeometric, Incomplete Beta, Incomplete Gamma, Jacobian Elliptic, Kelvin, Lambda, Legendre, Mathieu, Modified Spherical Bessel, Parabolic Cylinder, Psi, Riccati-Bessel, Sine Integral, Spheroidal Wave, Struve, Whittaker, as well as Bernoulli Numbers, Euler Numbers, Hermite Polynomials, Laguerre Polynomials, Legendre Polynomials, by Shanjie Zhang, Jianming Jin;
  1009. special_functions_test
  1010. sphere_cubed_grid, a FORTRAN90 code which uses the projection of a cube to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
  1011. sphere_cubed_grid_test
  1012. sphere_cvt, a FORTRAN90 code which uses a Centroidal Voronoi Tessellation (CVT) to generate a mesh of well-separated points on the surface of the unit sphere in 3D.
  1013. sphere_cvt_test
  1014. sphere_delaunay, a FORTRAN90 code which reads a file containing the coordinates of points on the surface of the unit sphere in 3D, computes the Delaunay triangulation, and outputs a PostScript (PS) file of the image;
  1015. sphere_delaunay_test
  1016. sphere_design_rule, a FORTRAN90 code which defines spherical designs for quadrature on the surface of the unit sphere in 3D;
  1017. sphere_design_rule_test
  1018. sphere_exactness, a FORTRAN90 code which tests the polynomial exactness of a quadrature rule on the surface of the unit sphere in 3D.
  1019. sphere_exactness_test
  1020. sphere_fibonacci_grid, a FORTRAN90 code which uses a Fibonacci spiral to create a grid of points on the surface of the unit sphere in 3D.
  1021. sphere_fibonacci_grid_test
  1022. sphere_grid, a FORTRAN90 code which generates grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3D.
  1023. sphere_grid_test
  1024. sphere_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.
  1025. sphere_integrals_test
  1026. sphere_lebedev_rule, a FORTRAN90 code which computes Lebedev quadrature rules on the surface of the unit sphere in 3D.
  1027. sphere_lebedev_rule_test
  1028. sphere_llq_grid, a FORTRAN90 code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
  1029. sphere_llq_grid_test
  1030. sphere_llt_grid, a FORTRAN90 code which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3D.
  1031. sphere_llt_grid_test
  1032. sphere_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in 3D;
  1033. sphere_monte_carlo_test
  1034. sphere_quad, a FORTRAN90 code which uses triangulation to approximate an integral on the surface of the unit sphere in 3D;
  1035. sphere_quad_test
  1036. sphere_stereograph, a FORTRAN90 code which computes the stereographic mapping between points on the surface of the unit sphere in 3D and points on the plane Z = 1; a generalized mapping is also available.
  1037. sphere_stereograph_test
  1038. sphere_voronoi, a FORTRAN90 code which reads a file containing the coordinates of points on the surface of the unit sphere in 3D, computes the Voronoi diagram, and outputs a PostScript (PS) file of the image;
  1039. sphere_voronoi_test
  1040. spline, a FORTRAN90 code which interpolates and approximates via splines;
  1041. spline_test
  1042. square_arbq_rule, a FORTRAN90 code which returns quadrature rules, with exactness up to total degree 20, over the interior of the symmetric square in 2D, by Hong Xiao and Zydrunas Gimbutas.
  1043. square_arbq_rule_test
  1044. square_exactness, a FORTRAN90 code which investigates the polynomial exactness of quadrature rules for f(x,y) over the interior of a square in 2D.
  1045. square_exactness_test
  1046. square_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a square in 2D.
  1047. square_felippa_rule_test
  1048. square_grid, a FORTRAN90 code which computes a grid of points over the interior of a square in 2D.
  1049. square_grid_test
  1050. square_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit square or symmetric unit square in 2D.
  1051. square_integrals_test
  1052. square_minimal_rule, a FORTRAN90 code which returns "almost minimal" quadrature rules, with exactness up to total degree 55, over the interior of the symmetric square in 2D, by Mattia Festa and Alvise Sommariva.
  1053. square_minimal_rule_test
  1054. square_monte_carlo, a FORTRAN90 code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit square in 2D.
  1055. square_monte_carlo_test
  1056. square_symq_rule, a FORTRAN90 code which returns symmetric quadrature rules, with exactness up to total degree 20, over the interior of the symmetric square in 2D, by Hong Xiao and Zydrunas Gimbutas.
  1057. square_symq_rule_test
  1058. st_io, a FORTRAN90 code which reads and writes sparse linear systems stored in the Sparse Triplet (ST) format.
  1059. st_io_test
  1060. st_to_ccs, a FORTRAN90 code which converts sparse matrix data from Sparse Triplet (ST) format to Compressed Column Storage (CCS) format;
  1061. st_to_ccs_test
  1062. stiff_ode, a FORTRAN90 code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
  1063. stiff_ode_test
  1064. stla_io, a FORTRAN90 code which reads and writes the 3D graphics information in an ASCII stereolithography (STL) file;
  1065. stla_io_test
  1066. stokes_2d_exact, a FORTRAN90 code which evaluates exact solutions to the incompressible steady Stokes equations over the unit square in 2D.
  1067. stokes_2d_exact_test
  1068. string_pde, a FORTRAN90 code which sets up and solves the partial differential equations (PDE) describing a vibrating string, creating files that can be displayed by gnuplot().
  1069. string_pde_test
  1070. stripack, a FORTRAN90 code which computes Delaunay triangulations and Voronoi diagrams on the surface of the unit sphere in 3D, a version of ACM TOMS algorithm 772, by Robert Renka.
  1071. stripack_test
  1072. stripack_delaunay, a FORTRAN90 code which reads a file of points on the surface of the unit sphere in 3D, calls stripack to determine the Delaunay triangulation, and writes out a file describing it.
  1073. stripack_delaunay_test triangulation, and writes out a file describing it.
  1074. stripack_voronoi, a FORTRAN90 code which reads a file of points on the surface of the unit sphere sphere in 3D, calls stripack to determine the Voronoi diagram, and writes out a file describing it.
  1075. stripack_voronoi_test
  1076. stripper, a FORTRAN90 code which performs a variety of file modifications such as capitalization, removal of control characters, and so on;
  1077. stripper_test
  1078. stroud, a FORTRAN90 code which defines quadrature rules for a variety of M-dimensional regions, including the interior of the square, cube and hypercube, the pyramid, cone and ellipse, the hexagon, the M-dimensional octahedron, the circle, sphere and hypersphere, the triangle, tetrahedron and simplex, and the surface of the circle, sphere and hypersphere.
  1079. stroud_test
  1080. subanagram, a FORTRAN90 code which finds words which are anagrams formed from some of the letters of a given master word.
  1081. subanagram_test
  1082. subpak, a FORTRAN90 code which implements a wide variety of operations on real and integer vectors and matrices;
  1083. subpak_test
  1084. subset, a FORTRAN90 code which enumerates, generates, randomizes, ranks and unranks combinatorial objects including combinations, compositions, Gray codes, index sets, partitions, permutations, polynomials, subsets, and Young tables. Backtracking routines are included to solve some combinatorial problems.
  1085. subset_test
  1086. subset_sum, a FORTRAN90 code which seeks solutions of the subset sum problem.
  1087. subset_sum
  1088. svd_basis, a FORTRAN90 code which applies the singular value decomposition (SVD) to a collection of data vectors, extracting dominant modes;
  1089. svd_basis_test
  1090. svd_basis_weight, a FORTRAN90 code which applies the singular value decomposition (SVD) to a collection of weighted data vectors, extracting dominant modes;
  1091. svd_basis_weight_test
  1092. svd_snowfall, a FORTRAN90 code which reads a file containing historical snowfall data and analyzes the data with the Singular Value Decomposition (SVD), displaying the results using gnuplot().
  1093. svd_snowfall_test
  1094. svd_test, a FORTRAN90 code which demonstrates the Singular Value Decomposition (SVD).
  1095. svd_truncated, a FORTRAN90 code which demonstrates the computation of the reduced or truncated Singular Value Decomposition (SVD) that is useful for cases when one dimension of the matrix is much smaller than the other.
  1096. svd_truncated_test
  1097. table_columns, a FORTRAN90 code which extracts specified columns from a file.
  1098. table_columns_test
  1099. table_io, a FORTRAN90 code which reads and writes data as a table file.
  1100. table_io_test
  1101. table_quality, a FORTRAN90 code which reads a table file of N points in M dimensions and computes the uniformity of the placement of the points;
  1102. table_quality_test
  1103. table_top, a FORTRAN90 code which is given a table file of M-dimensional points, makes plots of all coordinate pairs;
  1104. table_top_test
  1105. task_division, a FORTRAN90 code which implements a simple procedure for smoothly dividing T tasks among P processors; such a method can be useful in MPI and other parallel environments, particularly when T is not an exact multiple of P, and when the processors can be indexed starting from 0 or from 1.
  1106. task_division_test
  1107. test_approx, a FORTRAN90 code which implements test problems for approximation, provided as (x,y) data.
  1108. test_approx_test
  1109. test_eigen, a FORTRAN90 code which implements test matrices for eigenvalue analysis.
  1110. test_eigen_test
  1111. test_int, a FORTRAN90 code which implements test problems for approximate integration in one dimension.
  1112. test_int_test
  1113. test_int_2d, a FORTRAN90 code which implements test problems for approximate integration in two dimensions.
  1114. test_int_2d_test
  1115. test_interp, a FORTRAN90 code which defines test problems for interpolation, provided as (x,y(x)) data.
  1116. test_interp_test
  1117. test_interp_1d, a FORTRAN90 code which defines test problems for interpolation of data y(x), which depends on a 1D argument.
  1118. test_interp_1d_test
  1119. test_interp_2d, a FORTRAN90 code which defines test problems for interpolation of data z(x,y), depending on a 2D argument.
  1120. test_interp_2d_test
  1121. test_interp_nd, a FORTRAN90 code which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.
  1122. test_interp_nd_test
  1123. test_lls, a FORTRAN90 code which implements linear least squares (LLS) test problems of the form A*x=b.
  1124. test_lls_test
  1125. test_mat, a FORTRAN90 code which defines test matrices for which the condition number, determinant, eigenvalues, eigenvectors, inverse, null vectors, P*L*U factorization or linear system solution are known. Examples include the Fibonacci, Hilbert, Redheffer, Vandermonde, Wathen and Wilkinson matrices.
  1126. test_mat_test
  1127. test_matrix_exponential, a FORTRAN90 code which defines test cases for computing the matrix exponential.
  1128. test_matrix_exponential_test
  1129. test_mesh, a FORTRAN90 code which implements some sample 2D meshes.
  1130. test_mesh_test
  1131. test_min, a FORTRAN90 code which implements test problems for minimization of a scalar function of a scalar variable.
  1132. test_min_test
  1133. test_nearest, a FORTRAN90 code which tests the time complexity of various procedures for solving the nearest neighbor problem.
  1134. test_nearest_test
  1135. test_nint, a FORTRAN90 code which implements test problems for approximate integration (quadrature) in M dimensions.
  1136. test_nint_test
  1137. test_nls, a FORTRAN90 code which implements nonlinear least squares (NLS) test problems.
  1138. test_nls_test
  1139. test_nonlin, a FORTRAN90 code which implements test problems for the solution of systems of nonlinear equations.
  1140. test_nonlin_test
  1141. test_opt, a FORTRAN90 code which implements test problems for optimization of a scalar function of several variables.
  1142. test_opt_test
  1143. test_opt_con, a FORTRAN90 code which defines test problems for the minimization of a scalar function of several variables, with the search constrained to lie within a specified hyper-rectangle.
  1144. test_opt_con_test
  1145. test_optimization, a FORTRAN90 code which implements test problems for optimization of a scalar function of several variables, as described by Molga and Smutnicki.
  1146. test_optimization_test
  1147. test_partial_digest, a FORTRAN90 code which generates cases of the partial digest problem.
  1148. test_partial_digest_test
  1149. test_tet_mesh, a FORTRAN90 code which implements test problems for tetrahedralization or meshing of arbitrary regions in 3 dimensions.
  1150. test_tet_mesh_test
  1151. test_triangulation, a FORTRAN90 code which implements test problems for triangularization or meshing of arbitrary regions in 2 dimensions.
  1152. test_triangulation_test
  1153. test_values, a FORTRAN90 code which stores a small set of values for a variety of mathematical functions, suitable for a rough test of accuracy for algorithms.
  1154. test_values_test
  1155. test_zero, a FORTRAN90 code which implements test problems for the solution of a single nonlinear equation in one variable.
  1156. test_zero_test
  1157. tester, a BASH script which runs the test codes.
  1158. tet_mesh, a FORTRAN90 code which carries out various tasks associated with tetrahedral meshes in 3D;
  1159. tet_mesh_test
  1160. tet_mesh_l2q, a FORTRAN90 code which reads information about a 4-node (linear) tet mesh and creates data defining a corresponding 10-node (quadratic) tet mesh;
  1161. tet_mesh_l2q_test
  1162. tet_mesh_q2l, a FORTRAN90 code which reads information about a 10-node (quadratic) tet mesh and creates data defining a corresponding 4-node (linear) tet mesh;
  1163. tet_mesh_q2l_test
  1164. tet_mesh_quad, a FORTRAN90 code which estimates the integral of a function over a region defined by a tetrahedral mesh.
  1165. tet_mesh_quad_test
  1166. tet_mesh_quality, a FORTRAN90 code which reads information about a tet mesh of points in 3D and computes various quality measures;
  1167. tet_mesh_quality_test
  1168. tet_mesh_to_gmsh, a FORTRAN90 code which writes a tetrahedral mesh to a gmsh() file.
  1169. tet_mesh_to_gmsh_test
  1170. tet_mesh_to_xml, a FORTRAN90 code which writes a tetrahedral mesh to an XML file.
  1171. tet_mesh_to_xml_test
  1172. tetrahedron_arbq_rule, a FORTRAN90 code which returns quadrature rules, with exactness up to total degree 15, over the interior of a tetrahedron in 3D, by Hong Xiao and Zydrunas Gimbutas.
  1173. tetrahedron_arbq_rule_test
  1174. tetrahedron_exactness, a FORTRAN90 code which tests the polynomial exactness of a quadrature rule over the interior of a tetrahedron in 3D;
  1175. tetrahedron_exactness_test
  1176. tetrahedron_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a tetrahedron in 3D.
  1177. tetrahedron_felippa_rule_test
  1178. tetrahedron_grid, a FORTRAN90 code which computes a grid of points over the interior of a tetrahedron in 3D.
  1179. tetrahedron_grid_test
  1180. tetrahedron_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
  1181. tetrahedron_integrals_test
  1182. tetrahedron_keast_rule, a FORTRAN90 code which defines ten quadrature rules, of degree of exactness 0 through 8, over the interior of the tetrahedron in 3D.
  1183. tetrahedron_keast_rule_test
  1184. tetrahedron_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of a general tetrahedron in 3D.
  1185. tetrahedron_monte_carlo_test
  1186. tetrahedron_ncc_rule, a FORTRAN90 code which defines Newton-Cotes closed (NCC) quadrature rules over the interior of a tetrahedron in 3D.
  1187. tetrahedron_ncc_rule_test
  1188. tetrahedron_nco_rule, a FORTRAN90 code which defines Newton-Cotes open (NCO) quadrature rules over the interior of a tetrahedron in 3D.
  1189. tetrahedron_nco_rule_test
  1190. tetrahedron_properties, a FORTRAN90 code which computes properties, including the centroid, circumsphere, dihedral angles, edge lengths, face angles, face areas, insphere, quality, solid angles, and volume, of a tetrahedron in 3D.
  1191. tetrahedron_properties_test
  1192. tetrahedron01_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of the unit tetrahedron in 3D.
  1193. tetrahedron01_monte_carlo_test
  1194. three_body_ode, a FORTRAN90 code which simulates the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.
  1195. three_body_ode_test
  1196. timer_test, a FORTRAN90 code which tests various timing functions.
  1197. timestamp, a FORTRAN90 code which prints the current YMDHMS date as a timestamp.
  1198. timestamp_test
  1199. toeplitz, a FORTRAN90 code which implements Toeplitz matrix system solvers.
  1200. toeplitz_test
  1201. toeplitz_cholesky, a FORTRAN90 code which computes the Cholesky factorization of a nonnegative definite symmetric Toeplitz matrix.
  1202. toeplitz_cholesky_test
  1203. toms097, a FORTRAN90 code which computes the distance between all pairs of nodes in a directed graph with weighted edges, using the Floyd algorithm.
  1204. toms097_test
  1205. toms112, a FORTRAN90 code which determines whether a point is contained in a polygon, by Moshe Shimrat. This is a version of ACM TOMS algorithm 112.
  1206. toms112_test
  1207. toms178, a FORTRAN90 code which optimizes a scalar functional of multiple variables using the Hooke-Jeeves method, by Arthur Kaupe. This is a version of ACM TOMS algorithm 178.
  1208. toms178_test
  1209. toms179, a FORTRAN90 code which evaluates the modified Beta function, by Oliver Ludwig. This is a version of ACM TOMS algorithm 179.
  1210. toms179_test
  1211. toms243, a FORTRAN90 code which evaluates the logarithm of a complex value, by David Collens. This is a version of ACM TOMS algorithm 243.
  1212. toms243_test
  1213. toms291, a FORTRAN90 code which evaluates the logarithm of the Gamma function. This is a version of ACM TOMS algorithm 291.
  1214. toms291_test
  1215. toms358, a FORTRAN90 code which computes the singular value decomposition (SVD) of a complex matrix; this is a version of ACM TOMS algorithm 358. This is a translation created by Alexsander Schwarzenberg-Czerny.
  1216. toms358_test
  1217. toms443, a FORTRAN90 code which evaluates the Lambert W function. This is a version of ACM TOMS algorithm 443.
  1218. toms443_test
  1219. toms446, a FORTRAN90 code which manipulates Chebyshev series for interpolation and approximation; this is a version of ACM TOMS algorithm 446, by Roger Broucke.
  1220. toms446_test
  1221. toms453, a FORTRAN90 code which determines the abscissas and weights for a Gaussian quadrature formula for the Bromwich integral; this is a version of ACM TOMS algorithm 453.
  1222. toms453_test
  1223. toms462, a FORTRAN90 code which evaluates the upper right tail of the bivariate normal Probability Density Function (PDF); that is, the probability that normal variables X and Y with correlation R will satisfy H <= X and K <= Y; this is a version of ACM TOMS algorithm 462.
  1224. toms462_test
  1225. toms515, a FORTRAN90 code which selects subsets of size K from a set of size N. This is a version of ACM TOMS Algorithm 515, by Bill Buckles, Matthew Lybanon.
  1226. toms515_test
  1227. toms526, a FORTRAN90 code which interpolates scattered bivariate data. This is a version of ACM TOMS algorithm 526, by Hiroshi Akima;
  1228. toms526_test
  1229. toms552, a FORTRAN90 code which computes a solution of a constrained linear system. of a scalar function, this is a version of ACM TOMS algorithm 552;
  1230. toms552_test
  1231. toms577, a FORTRAN90 code which evaluates the Carlson elliptic integral functions RC, RD, RF and RJ. This is a version of ACM TOMS algorithm 577;
  1232. toms577_test
  1233. toms597, a FORTRAN90 code which evaluates Bessel functions I of real, non-integer order, by William Cody. this is a version of ACM TOMS Algorithm 597;
  1234. toms597_test
  1235. toms611, a FORTRAN90 code which seeks the minimizer of a scalar functional of multiple variables. This is a version of ACM TOMS algorithm 611, by David Gay.
  1236. toms611_test
  1237. toms647, a FORTRAN90 code which evaluates Faure, Halton and Sobol Quasi Monte Carlo (QMC) sequences. This is a version of ACM TOMS algorithm 647.
  1238. toms647_test
  1239. toms655, a FORTRAN90 code which computes the weights for interpolatory quadrature rules; this is commonly called IQPACK, by Sylvan Elhay and Jaroslav Kautsky. This is a version of ACM TOMS algorithm 655.
  1240. toms655_test
  1241. toms659, a FORTRAN90 code which computes elements of the Sobol Quasi Monte Carlo (QMC) sequence; this is a version of ACM TOMS algorithm 659.
  1242. toms659_test
  1243. toms660, a FORTRAN90 code which takes scattered 2D data and produces an interpolating function F(X,Y). This is a version of ACM TOMS algorithm 660, called qshep2d, by Robert Renka.
  1244. toms660_test
  1245. toms661, a FORTRAN90 code which takes scattered 3D data and produces an interpolating function F(X,Y,Z). This is a version of ACM TOMS algorithm 661, called qshep3d, by Robert Renka.
  1246. toms661_test
  1247. toms672, a FORTRAN90 code which generates an interpolatory quadrature rule of highest possible order, given preassigned abscissas. This can be used to generate Gauss-Kronrod and Gauss-Patterson quadrature rules. This is commonly called EXTEND. This is a version of ACM TOMS algorithm 672.
  1248. toms672_test
  1249. toms708, a FORTRAN90 code which includes routines to evaluate the incomplete Gamma function, by Armido Didonato, Alfred Morris; this is a version of ACM TOMS algorithm 708.
  1250. toms708_test
  1251. toms715, a FORTRAN90 code which evaluates special functions, including the Bessel I, J, K, and Y functions of order 0, of order 1, and of any real order, the Dawson integral, the error function, exponential integrals, the gamma function, the normal distribution function, the psi function. This is a version of ACM TOMS algorithm 715.
  1252. toms715_test
  1253. toms726, a FORTRAN90 code which computes recursion coefficients for orthogonal polynomials, and the abscissa and weights for related quadrature rules. by Walter Gautschi. This is commonly called ORTHPOL. This is a version of ACM TOMS algorithm 726.
  1254. toms726_test
  1255. toms738, a FORTRAN90 code which evaluates the Niederreiter Quasi Monte Carlo (QMC) sequence; this is a version of ACM TOMS algorithm 738;
  1256. toms738_test
  1257. toms743, a FORTRAN90 code which evaluates the Lambert W function. This is a version of ACM TOMS algorithm 743, by Barry, Barry and Culligan-Hensley.
  1258. toms743_test
  1259. toms757, a FORTRAN90 code which evaluates uncommon special functions, by Allan Mcleod; this is a version of ACM TOMS algorithm 757;
  1260. toms757_test
  1261. toms790, a FORTRAN90 code which computes an interpolating function to scattered data in the plane, by Robert Renka; this is commonly called cshep2d; this is a version of ACM TOMS algorithm 790.
  1262. toms790_test
  1263. toms792, a FORTRAN90 code which tests functions that interpolate scattered data in the plane; by Robert Renka; this is a version of ACM TOMS algorithm 792.
  1264. toms792_test
  1265. toms886, a FORTRAN90 code which defines the Padua points for interpolation in a 2D region, including the rectangle, triangle, and ellipse, by Marco Caliari, Stefano de Marchi, Marco Vianello. This is a version of ACM TOMS algorithm 886.
  1266. toms886_test
  1267. tri_surface_io, a FORTRAN90 code which reads and writes the 3D graphics information in a TRI_SURFACE file;
  1268. tri_surface_io_test
  1269. triangle_analyze, a FORTRAN90 code which reads a triangle defined in a file, and uses triangle_properties() to compute angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality.
  1270. triangle_analyze_test
  1271. triangle_dunavant_rule, a FORTRAN90 code which defines Dunavant quadrature rules over the interior of a triangle in 2D.
  1272. triangle_dunavant_rule_test
  1273. triangle_exactness, a FORTRAN90 code which tests the polynomial exactness of a quadrature rule over the interior of a triangle in 2D.
  1274. triangle_exactness_test
  1275. triangle_fekete_rule, a FORTRAN90 code which returns Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.
  1276. triangle_fekete_rule_test
  1277. triangle_felippa_rule, a FORTRAN90 code which returns a Felippa quadrature rules for approximating integrals over the interior of a triangle in 2D.
  1278. triangle_felippa_rule_test
  1279. triangle_grid, a FORTRAN90 code which computes a grid of points over the interior of a triangle in 2D.
  1280. triangle_grid_test
  1281. triangle_histogram, a FORTRAN90 code which computes histograms of data over the interior of the unit triangle in 2D.
  1282. triangle_histogram_test
  1283. triangle_integrals, a FORTRAN90 code which returns the exact value of the integral of any polynomial over the interior of an arbitrary triangle in 2D.
  1284. triangle_integrals_test
  1285. triangle_interpolate, a FORTRAN90 code which shows how vertex data can be interpolated at any point in the interior of a triangle.
  1286. triangle_interpolate_test
  1287. triangle_io, a FORTRAN90 code which reads or writes some of the files created by the triangle() code of Jonathan Shewchuk.
  1288. triangle_io_test
  1289. triangle_lyness_rule, a FORTRAN90 code which returns Lyness-Jespersen quadrature rules over the interior of a triangle in 2D;
  1290. triangle_lyness_rule_test
  1291. triangle_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of a general triangle in 2D.
  1292. triangle_monte_carlo_test
  1293. triangle_ncc_rule, a FORTRAN90 code which defines Newton-Cotes closed (NCC) quadrature rules over the interior of a triangle in 2D.
  1294. triangle_ncc_rule_test
  1295. triangle_nco_rule, a FORTRAN90 code which defines Newton-Cotes open (NCO) quadrature rules over the interior of a triangle in 2D.
  1296. triangle_nco_rule_test
  1297. triangle_properties, a FORTRAN90 code which computes properties, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality, of a triangle in 2D.
  1298. triangle_properties_test
  1299. triangle_svg, a FORTRAN90 code which uses Scalable Vector Graphics (SVG) to plot a triangle and any number of points, to illustrate quadrature rules and sampling techniques.
  1300. triangle_svg_test
  1301. triangle_symq_rule, a FORTRAN90 code which returns efficient symmetric quadrature rules, with exactness up to total degree 50, over the interior of a triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.
  1302. triangle_symq_rule_test
  1303. triangle_to_fem, a FORTRAN90 code which reads the NODE and ELE files created by the triangle() code to describe a triangular mesh, and writes a corresponding pair of node and element files in the 2D FEM format.
  1304. triangle_to_fem_test
  1305. triangle_to_xml, a FORTRAN90 code which reads the NODE and ELE files created by triangle() to describe a triangular mesh in 2D, and writes out a corresponding XML mesh file for use by DOLFIN or FENICS.
  1306. triangle_to_xml_test
  1307. triangle_twb_rule, a FORTRAN90 code which returns quadrature rules over the interior of the unit triangle, as determined by Taylor, Wingate, and Bos.
  1308. triangle_twb_rule_test
  1309. triangle_wandzura_rule, a FORTRAN90 code which returns quadrature rules of exactness 5, 10, 15, 20, 25 and 30 over the interior of the triangle in 2D.
  1310. triangle_wandzura_rule_test
  1311. triangle01_integrals, a FORTRAN90 code which returns the integral of any monomial over the interior of the unit triangle in 2D.
  1312. triangle01_integrals_test
  1313. triangle01_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of the unit triangle in 2D.
  1314. triangle01_monte_carlo_test
  1315. triangulation, a FORTRAN90 code which computes the triangulation of points in the plane, and performs various operations using a triangulation, including searching a Delaunay triangulation to find which triangle contains a given point.
  1316. triangulation_test
  1317. triangulation_l2q, a FORTRAN90 code which reads information about a 3-node (linear) triangulation and creates data defining a corresponding 6-node (quadratic) triangulation;
  1318. triangulation_l2q_test
  1319. triangulation_plot, a FORTRAN90 code which plots the nodes and elements of a triangulation as a PostScript (PS) file;
  1320. triangulation_plot_test
  1321. triangulation_q2l, a FORTRAN90 code which reads information about a 6-node triangulation and creates data defining a corresponding 3-node triangulation;
  1322. triangulation_q2l_test
  1323. triangulation_quad, a FORTRAN90 code which reads information about a triangulation and the value of a function at the nodes and estimates the integral of the function over the triangulated region.
  1324. triangulation_quad_test
  1325. triangulation_quality, a FORTRAN90 code which reads information about a triangulation and computes various quality measures;
  1326. triangulation_quality_test
  1327. triangulation_svg, a FORTRAN90 code which creates an SVG image of a triangulation, which can be displayed by a web browser.
  1328. triangulation_svg_test
  1329. truncated_normal, a FORTRAN90 code which works with the truncated normal distribution over [A,B], or [A,+oo) or (-oo,B], returning the probability density function (PDF), the cumulative density function (CDF), the inverse CDF, the mean, the variance, and sample values.
  1330. truncated_normal_test
  1331. truncated_normal_rule, a FORTRAN90 code which computes a quadrature rule for a normal probability density function (PDF), sometimes called a Gaussian distribution, that has been truncated to [A,+oo), (-oo,B] or [A,B].
  1332. truncated_normal_rule_test
  1333. tsp_brute, a FORTRAN90 code which reads a file of city-to-city distances and solves a (small!) traveling salesperson problem (TSP), using brute force.
  1334. tsp_brute_test
  1335. tsp_lau, a FORTRAN90 code which implements a heuristic algorithm for the solution of the traveling salesperson problem (TSP).
  1336. tsp_lau_test
  1337. ubvec, a FORTRAN90 code which demonstrates how nonnegative integers can be stored as unsigned binary vectors, and arithmetic can be performed on them.
  1338. ubvec_test
  1339. unicycle, a FORTRAN90 code which considers permutations containing a single cycle, sometimes called cyclic permutations.
  1340. unicycle_test
  1341. uniform, a FORTRAN90 code which implements random number generators (RNG) for a variety of arithmetic types.
  1342. uniform_test
  1343. upc, a FORTRAN90 code which computes the check digit for a uniform product code (UPC), or report whether a 12-digit UPC is actually valid.
  1344. upc_test
  1345. valgrind_test, FORTRAN codes which demonstrate the use of the valgrind() debugger.
  1346. van_der_corput, a FORTRAN90 code which computes elements of the van der Corput one-dimensional Quasi Mont Carlo (QMC) sequence, using a simple interface.
  1347. van_der_corput_test
  1348. vandermonde, a FORTRAN90 code which implements the Bjork-Pereyra algorithm for accurate solution of linear systems involving the Vandermonde matrix.
  1349. vandermonde_test
  1350. vandermonde_approx_1d, a FORTRAN90 code which finds a polynomial approximant to data y(x) of a 1D argument by setting up and solving an overdetermined linear system for the polynomial coefficients involving the Vandermonde matrix.
  1351. vandermonde_approx_1d_test
  1352. vandermonde_approx_2d, a FORTRAN90 code which finds a polynomial approximant p(x,y) to data z(x,y) of a 2D argument by setting up and solving an overdetermined linear system for the polynomial coefficients involving the Vandermonde matrix.
  1353. vandermonde_approx_2d_test
  1354. vandermonde_interp_1d, a FORTRAN90 code which finds a polynomial interpolant to data y(x) of a 1D argument by setting up and solving a linear system for the polynomial coefficients involving the Vandermonde matrix, creating graphics files for processing by gnuplot().
  1355. vandermonde_interp_1d_test
  1356. vandermonde_interp_2d, a FORTRAN90 code which finds a polynomial interpolant to data z(x,y) of a 2D argument by setting up and solving a linear system for the polynomial coefficients involving the Vandermonde matrix.
  1357. vandermonde_interp_2d_test
  1358. voronoi_plot, a FORTRAN90 code which plots the Voronoi neighborhoods of points in the 2D unit square, using L1, L2 or Loo norms;
  1359. voronoi_plot_test
  1360. walker_sample, a FORTRAN90 code which efficiently samples a discrete probability vector using Walker sampling.
  1361. walker_sample_test
  1362. walsh, a FORTRAN90 code which implements versions of the Walsh and Haar transforms.
  1363. walsh_test
  1364. wathen, a FORTRAN90 code which compares storage schemes (full, banded, sparse triplet ) and solution strategies (Linpack full, Linpack banded, conjugate gradient) for linear systems involving the Wathen matrix, which can arise when solving a problem using the finite element method (FEM).
  1365. wathen_test
  1366. wave_mpi, a FORTRAN90 code which uses finite differences and MPI to estimate a solution to the wave equation.
  1367. wave_mpi_test
  1368. wavelet, a FORTRAN90 code which does some simple wavelet calculations;
  1369. wavelet_test
  1370. wedge_exactness, a FORTRAN90 code which investigates the polynomial exactness of a quadrature rule over the interior of the unit wedge in 3D.
  1371. wedge_exactness_test
  1372. wedge_felippa_rule, a FORTRAN90 code which returns quadrature rules for approximating integrals over the interior of the unit wedge in 3D.
  1373. wedge_felippa_rule_test
  1374. wedge_grid, a FORTRAN90 code which computes a grid of points over the interior of the unit wedge in 3D.
  1375. wedge_grid_test
  1376. wedge_integrals, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.
  1377. wedge_integrals_test
  1378. wedge_monte_carlo, a FORTRAN90 code which uses the Monte Carlo method to estimate an integral over the interior of the unit wedge in 3D.
  1379. wedge_monte_carlo_test
  1380. weekday, a FORTRAN90 code which determines the day of the week corresponding to a given date, such as 14 October 1066, Julian calendar, ... which was a Saturday.
  1381. weekday_test
  1382. wishart, a FORTRAN90 code which produces sample matrices from the Wishart or Bartlett distributions, useful for sampling random covariance matrices.
  1383. wishart_test
  1384. wtime, a FORTRAN90 code which returns a reading of the wall clock time in seconds.
  1385. wtime_test
  1386. zero, a FORTRAN90 code which seeks a solution of a scalar nonlinear equation f(x)=0, by Richard Brent.
  1387. zero_test
  1388. zero_rc, a FORTRAN90 code which seeks a solution of a scalar nonlinear equation f(x)=0, using reverse communication (RC), by Richard Brent.
  1389. zero_rc_test
  1390. ziggurat, a FORTRAN90 code which samples the uniform, normal or exponential distributions, using the ziggurat method, by Marsaglia and Tsang.
  1391. ziggurat_test
  1392. ziggurat_openmp, a FORTRAN90 code which demonstrates how ziggurat() can be used as a random number generator (RNG) in an OpenMP parallel program.
  1393. ziggurat_openmp_test
  1394. zoomin, a FORTRAN90 code which seeks a root of a scalar function.
  1395. zoomin_test


Last revised on 16 June 2021.