MATLAB Source Codes


  1. alpert_rule, a library which can set up an Alpert quadrature rule for functions which are regular, log(x) singular, or 1/sqrt(x) singular.
  2. alpert_rule_test
  3. analemma, a program which evaluates the equation of time, a formula for the difference between the uniform 24 hour day and the actual position of the sun, based on a C program by Brian Tung.
  4. analemma_test
  5. annulus_monte_carlo, a library which uses the Monte Carlo method to estimate the integral of a function over the interior of a circular annulus in 2D.
  6. annulus_monte_carlo_test
  7. annulus_rule, a library which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2D.
  8. annulus_rule_test
  9. area_under_curve, a function which displays the area under a curve, that is, the points (x,y) between the x axis and the curve y=f(x).
  10. area_under_curve_test
  11. args, a function which shows how to count and report command line arguments;
  12. args_test
  13. arpack_test
  14. asa005, a library which evaluates the lower tail of the noncentral Student's T distribution, by BE Cooper. This is a version of Applied Statistics Algorithm 5;
  15. asa005_test
  16. asa006, a library which computes the Cholesky factor of a positive definite symmetric matrix, by Michael Healy; This is a version of Applied Statistics Algorithm 6;
  17. asa006_test
  18. asa007, a library which computes the inverse of a positive definite symmetric matrix, by Michael Healy; This is a version of Applied Statistics Algorithm 7.
  19. asa007_test
  20. asa032, a library which evaluates the incomplete Gamma function, by G Bhattacharjee. This is a version of Applied Statistics Algorithm 32;
  21. asa032_test
  22. asa047, a library 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;
  23. asa047_test
  24. asa053, a library which produces sample matrices from the Wishart distribution, by William Smith and Ronald Hocking. This is a version of Applied Statistics Algorithm 53.
  25. asa053_test
  26. asa058, a library which carries out clustering of data, by David Sparks. This is a version of Applied Statistics Algorithm 58;
  27. asa058_test
  28. asa063, a library which evaluates the incomplete Beta function, by KL Majumder and G Bhattacharjee. This is a version of Applied Statistics Algorithm 63;
  29. asa063_test
  30. asa066, a library which computes the cumulative density function (CDF) of the standard normal distribution, by David Hill. This is a version of Applied Statistics Algorithm 66;
  31. asa066_test
  32. asa076, a library which evaluates Owen's T function, by Young and Minder. This is a version of Applied Statistics Algorithm 76;
  33. asa076_test
  34. asa091, a library which computes the percentage points of the Chi-square distribution, by Best and Roberts. This is a version of Applied Statistics Algorithm 91;
  35. asa091_test
  36. asa103, a library which evaluates the digamma or psi function, by Jose Bernardo. This is a version of Applied Statistics Algorithm 103;
  37. asa103_test
  38. asa109 a library which inverts the incomplete Beta function, by Cran, Martin and Thomas. This is a version of Applied Statistics Algorithm 109;
  39. asa109_test
  40. asa111 a library which evaluates the percentage points of the normal distribution, by Beasley and Springer. This is a version of Applied Statistics Algorithm 111;
  41. asa111_test
  42. asa113 a library which clusters data using a transfer and swap algorithm, by Banfield and Bassill; This is a version of Applied Statistics Algorithm 113;
  43. asa113_test
  44. asa121, a library which evaluates the trigamma function, by BE Schneider. This is a version of Applied Statistics Algorithm 121;
  45. asa121_test
  46. asa136, a library which implements a clustering algorithm, by Hartigan and Wong. This is a version of Applied Statistics Algorithm 136;
  47. asa136_test
  48. asa144, a library which randomly generates tables with given row and column sums, by James Boyett. This is a version of Applied Statistics Algorithm 144;
  49. asa144_test
  50. asa147, a library which evaluates the incomplete Gamma function, by Chi Leung Lau. This is a version of Applied Statistics Algorithm 147;
  51. asa147_test
  52. asa152, a library 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;
  53. asa152_test
  54. asa159, a library which computes a random table with given row and column sums, by Michael Patefield; This is a version of Applied Statistics Algorithm 159;
  55. asa159_test
  56. asa172, a library which generates all M dimensional 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;
  57. asa172_test
  58. asa183, a library which implements a random number generator (RNG), by Wichman and Hill; this is a version of Applied Statistics Algorithm 183;
  59. asa183_test
  60. asa226, a library which evaluates the noncentral incomplete Beta function, by Russell Lenth; this is a version of Applied Statistics Algorithm 226;
  61. asa226_test
  62. asa239, a library which evaluates the incomplete Gamma function, by Shea; this is a version of Applied Statistics Algorithm 239;
  63. asa239_test
  64. asa241, a library which computes the inverse of the normal cumulative density function (CDF), by Michael Wichura; this is a version of Applied Statistics Algorithm 241;
  65. asa241_test
  66. asa243, a library which evaluates the lower tail of the noncentral Student's T distribution, by Russell Lenth; this is a version of Applied Statistics Algorithm 243;
  67. asa243_test
  68. asa245, a library which evaluates the logarithm of the Gamma function, by Allan Mcleod; this is a version of Applied Statistics Algorithm 245;
  69. asa245_test
  70. asa266, a library which evaluates various properties of the Dirichlet probability density function (PDF); this is a version of Applied Statistics Algorithm 266;
  71. asa266_test
  72. asa299, a library 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;
  73. asa299_test
  74. asa310, a library which evaluates the noncentral incomplete Beta function, by Chattamvelli and Shanmugam. This is a version of Applied Statistics Algorithm 310;
  75. asa310_test
  76. asa314, a library 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.
  77. asa314_test
  78. atbash, a library which applies the Atbash substitution cipher to a string of text.
  79. atbash_test
  80. atkinson, a MATLAB library which contains examples from Atkinson's Elementary Numerical Analysis text.
  81. atkinson_test
  82. backtrack_binary_rc, a library which carries out a backtrack search for a set of binary decisions, using reverse communication (RC).
  83. backtrack_binary_rc_test
  84. ball_and_stick_display, a program which demonstrates the creation of a 3D image constructed from balls and sticks;
  85. ball_and_stick_display_test
  86. ball_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of the unit ball in 3D.
  87. ball_distance_test
  88. ball_grid, a library which computes a grid of points over the interior of the unit ball in 3D.
  89. ball_grid_test
  90. ball_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.
  91. ball_integrals_test
  92. ball_monte_carlo, a library which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit ball in 3D;
  93. ball_monte_carlo_test
  94. bank, a library which computes the check digit associated with a US Bank Routing Number check digit, or reports whether a 9-digit code is actually valid.
  95. bank_test
  96. barycentric_interp_1d, a library which defines and evaluates the barycentric Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i). The barycentric approach means that very high degree polynomials can safely be used.
  97. barycentric_interp_1d_test
  98. bellman_ford, a library 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.
  99. bellman_ford_test
  100. bernstein_approximation, a library which looks at some simple cases of approximation of a function f(x) by a Bernstein polynomial.
  101. bernstein_approximation_test
  102. bernstein_polynomial, a library which evaluates the Bernstein polynomials;
  103. bernstein_polynomial_test
  104. besselj, a library which evaluates Bessel J functions of noninteger order;
  105. besselj_test
  106. beta_nc, a library which evaluates the cumulative density function (CDF) of the noncentral Beta distribution;
  107. beta_nc_test
  108. bezier_surface, a library which reads, writes, prints and manipulates the data that defines a Bezier surface;
  109. bezier_surface_test
  110. bezier_surface_display, a program which displays a Bezier surface;
  111. bezier_surface_display_test
  112. bicycle_lock, a library which simulates the process of determining the secret combination of a bicycle lock, an integer between 000 and 999.
  113. bicycle_lock_test
  114. bisection_integer, a library 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 library 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. black_scholes, a library which implements some simple approaches to the Black-Scholes option valuation theory, by Desmond Higham.
  119. black_scholes_test
  120. blas0, a library which contains auxilliary functions for the Basic Linear Algebra Subprograms (BLAS).
  121. blas0_test
  122. blas1_d, a library which implements the Level 1 Basic Linear Algebra Subprograms (BLAS), using double precision real arithmetic;
  123. blas1_d_test
  124. blas1_z, a library which implements the Level 1 Basic Linear Algebra Subprograms (BLAS), using double precision complex arithmetic;
  125. blas1_z_test
  126. blas2_d, a library which contains the Level 2 Basic Linear Algebra Subprograms (BLAS) for matrix-vector operations, using double precision real arithmetic.
  127. blas2_d_test
  128. blas3_d, a library which constitutes the Level 3 Basic Linear Algebra Subprograms (BLAS), for matrix-matrix operations using double precision real arithmetic.
  129. blas3_d_test
  130. blend, a library which carries out 1D/2D/3D blending interpolation;
  131. blend_test
  132. blsprice_test
  133. box_behnken, a library which computes a Box-Behnken design, that is, a set of arguments to sample the behavior of a function of multiple parameters;
  134. box_behnken_test
  135. box_display, a program which displays a box plot, over integer pairs of data, of a function defined by two formulas.
  136. box_display_test
  137. box_flow, a program which solves the Navier Stokes equations (NSE), replacing the continuity equation with a pressure Poisson equation (PPE), by John Cornthwaite.
  138. box_flow_test
  139. box_games, a library which assists in the display of game boards (checkers, cellular automatons, life);
  140. box_games_test
  141. box_plot, a program which displays a box plot of data that consists of pairs of integers;
  142. box_plot_test
  143. brain_sensor_pod, a program which applies the method of Proper Orthogonal Decomposition (POD) to seek underlying patterns in sets of 40 sensor readings of brain activity.
  144. brain_sensor_pod_test
  145. brent, a library which contains routines for finding zeroes or minima of a scalar function of a scalar variable, without the use of derivative information, including a reverse communication (RC) option, by Richard Brent.
  146. brent_test
  147. brownian_motion_simulation, a library which simulates Brownian motion in an M dimensional region.
  148. brownian_motion_simulation_test
  149. buckling_spring, a program which plots solutions of the buckling spring equations.
  150. buckling_spring_test
  151. burgers_solution, a library which evaluates exact solutions of the time-dependent 1D viscous Burgers equation.
  152. burgers_solution_test
  153. burgers_steady_viscous, a library which solves the steady (time-independent) viscous Burgers equation using the finite difference method (FDM) applied to the conservative form of the equation, using Newton's method to solve the resulting nonlinear system.
  154. burgers_steady_viscous_test
  155. burgers_time_inviscid, a library which solves the time-dependent inviscid Burgers equation using the finite difference method (FDM), and one of six solution methods selected by the user.
  156. burgers_time_inviscid_test
  157. burgers_time_viscous, a library which solves the time-dependent viscous Burgers equation using the finite difference method (FDM) applied to the conservative form of the equation.
  158. burgers_time_viscous_test
  159. bvec, a library which demonstrates how signed integers can be stored as binary vectors, and arithmetic can be performed on them.
  160. bvec_test
  161. bvp4c_test
  162. c8lib, a library which implements certain elementary functions for double precision complex ("C8") variables;
  163. c8lib_test
  164. caesar, a library which can apply a Caesar Shift Cipher to a string of text.
  165. caesar_test
  166. calendar_nyt, a library which shows the correspondence between dates and the New York Times volume and issue number;
  167. calendar_nyt_test
  168. calpak, a library which makes various calendar calculations;
  169. calpak_test
  170. cauchy_principal_value, a library which uses Gauss-Legendre quadrature to estimate the Cauchy Principal Value (CPV) of certain singular integrals.
  171. cauchy_principal_value_test
  172. cavity_flow_display, a library which displays a single velocity field solution for the driven cavity;
  173. cavity_flow_display_test
  174. cavity_flow_movie, a library which animates the velocity solutions for the driven cavity;
  175. cc_display, a program which displays the points used in a 2D Clenshaw-Curtis quadrature rule;
  176. cc_display_test
  177. cc_io a library which reads and writes sparse linear systems stored in the Compressed Column (CC) format.
  178. cc_io_test
  179. cc_project, a library which investigates generalized Clenshaw-Curtis quadrature rules for semi-infinite and infinite intervals, by John Boyd.
  180. cc_project_test
  181. cc_to_st a library which converts a sparse matrix from compressed column (CC) to sparse triplet (ST) format.
  182. cc_to_st_test
  183. ccl_test
  184. ccn_rule, a program which defines a Clenshaw Curtis Nested (CCN) quadrature rule.
  185. ccn_rule_test
  186. ccvt_box, a program which calculates a Constrained Centroidal Voronoi Tessellation (CCVT) for points constrained to lie in a box, with some points moved to the boundary;
  187. ccn_box_test
  188. ccvt_reflect, a program which calculates a Constrained Centroidal Voronoi Tessellation (CCVT) for points constrained to lie in a box, with some points pushed towards the boundary;
  189. ccn_reflect_test
  190. cell, a library which defines a cell array, a generalization of an array which can compactly store and retrieve vector or matrix data of varying size, such as the rows of a triangular matrix.
  191. cell_test
  192. cellular_automaton, a program which demonstrates the 1D Cellular Automaton known as rule #30.
  193. cellular_automaton_test
  194. cg, a library 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.
  195. cg_test
  196. cg_lab_triangles, a collection of programs associated with a computer lab assignment on computational geometry and triangles;
  197. cg_rc, a library which implements the conjugate gradient (CG) method for solving a positive definite sparse linear system A*x=b, using reverse communication (RC).
  198. cg_rc_test
  199. chain_letter_tree, a program which analyzes a similarity matrix for 11 versions of a single chain letter and produces a dendrogram or tree diagram that suggests the degrees of relatedness and the evolutionary history of the letters.
  200. change_making, a library which considers the change making problem, in which a given sum is to be formed using coins of various denominations.
  201. change_making_test
  202. chebyshev, a library which computes the Chebyshev interpolant/approximant to a given function over an interval.
  203. chebyshev_test
  204. chebyshev_interp_1d, a library which determines the combination of Chebyshev polynomials which interpolates a set of data, so that p(x(i)) = y(i).
  205. chebyshev_interp_1d_test
  206. chebyshev_polynomial, a library which considers the Chebyshev polynomials T(i,x), U(i,x), V(i,x) and W(i,x).
  207. chebyshev_polynomial_test
  208. chebyshev_series, a library which can evaluate 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.
  209. chebyshev_series_test
  210. chebyshev1_exactness, a program which tests the polynomial exactness of Gauss-Chebyshev type 1 quadrature rules.
  211. chebyshev1_exactness_test
  212. chebyshev1_rule, a program which computes and writes out a Gauss-Chebyshev type 1 quadrature rule of given order.
  213. chebyshev1_rule_test
  214. chebyshev2_exactness, a program which tests the polynomial exactness of Gauss-Chebyshev type 2 quadrature rules.
  215. chebyshev2_exactness_test
  216. chebyshev2_rule, a program which computes and writes out a Gauss-Chebyshev type 2 quadrature rule of given order.
  217. chebyshev2_rule_test
  218. chrpak, a library which manipulates characters and strings;
  219. chrpak_test
  220. chuckaluck_simulation, a program which simulates the Chuck-a-Luck gambling game.
  221. chuckaluck_simulation_test
  222. circle_arc_grid, a program which computes grid points along a circular arc.
  223. circle_arc_grid_test
  224. circle_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the circumference of the unit circle in 2D.
  225. circle_distance_test
  226. circle_grid_display a program which reads a matrix of integers, and draws a corresponding grid of circles filled with color.
  227. circle_grid_display_test
  228. circle_integrals, a library which returns the exact value of the integral of any monomial over the circumference of the unit circle in 2D.
  229. circle_integrals_test
  230. circle_map, a library which illustrates how a matrix maps points on the unit circle to an ellipse.
  231. circle_map_test
  232. circle_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function along the circumference of the unit circle in 2D;
  233. circle_monte_carlo_test
  234. circle_rule, a library which computes quadrature rules for the unit circle in 2D, that is, the circumference of the circle of radius 1 and center (0,0).
  235. circle_rule_test
  236. circle_segment, a library which carries out computations associated with a circle segment, including height, angle, area, centroid, sampling, and quadrature.
  237. circle_segment_test
  238. circles, a library which can be used, when creating graphics, to draw one or more circles, while controlling the center locations, radii, colors, edge colors, and transparency, by Chad Greene.
  239. circles_test
  240. cities, a library which works with city-to-city distance matrices;
  241. cities_test
  242. clausen, a library which evaluates a Chebyshev interpolant to the Clausen function Cl2(x).
  243. clausen_test
  244. clenshaw_curtis_rule, a program which implements a Clenshaw Curtis quadrature rule;
  245. clenshaw_curtis_rule_test
  246. cnoise, a library which generates samples of noise obeying a 1/f^alpha power law, by Miroslav Stoyanov.
  247. cnoise_test
  248. coin_simulation, a library which looks at ways of simulating or visualizing the results of many tosses of a fair or biased coin.
  249. coin_simulation_test
  250. collatz, a library which computes and analyzes the Collatz sequence, also known as the hailstone sequence or 3n+1 sequence;
  251. collatz_test
  252. collatz_recursive, a library which demonstrates recursive programming by considering the simple Collatz 3n+1 problem.
  253. collatz_recursive_test
  254. collocation, a library which demonstrates the use of collocation to produce a function g(x) that satisfies the same constraints as a function f(x), but only at a discrete set of points.
  255. collocation_test
  256. colored_noise, a library which generates samples of noise obeying a 1/f^alpha power law.
  257. colored_noise_test
  258. combination_lock, a program which simulates the process of determining the secret combination of a lock.
  259. combination_lock_test
  260. combo, a library 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.
  261. combo_test
  262. compass_search, a library which seeks the minimizer of a scalar function of several variables using compass search, a direct search algorithm that does not use derivatives.
  263. compass_search_test
  264. complex_numbers_test
  265. complexity_test
  266. condition, a library which implements methods of computing or estimating the condition number of a matrix.
  267. condition_test
  268. conte_deboor, a MATLAB library which contains examples from Conte and deBoor's Elementary Numerical Analysis text.
  269. conte_deboor_test
  270. continuation, a library which implements the continuation method for a simple 2D problem.
  271. continuation_test
  272. continued_fraction a library which implements some simple algorithms for dealing with simple and generalized continued fractions.
  273. continued_fraction_test
  274. contour_gradient, a program which displays contours and gradient vectors for a function f(x,y).
  275. contour_gradient_test
  276. contour_gradient_3d, a program which displays contours and gradient vectors for a function f(x,y) in a 3D display.
  277. contour_gradient_3d_test
  278. contour_sequence4, a program which creates images suitable for animation from one XY file and a sequence of u(x,y) data files;
  279. contour_sequence4_test
  280. convex_hull, a program which demonstrates the computation of the convex hull of a set of 2D points.
  281. convex_hull_test
  282. coordinate_search, a program which seeks the minimizer of a scalar function of several variables, by Jeff Borggaard.
  283. coordinate_search_test
  284. cordic, a library which computes a few special functions using the CORDIC algorithm.
  285. cordic_test
  286. correlation, a library which contains statistical correlation functions.
  287. correlation_test
  288. cosine_transform, a library which demonstrates some simple properties of the discrete cosine transform (DCT).
  289. cosine_transform_test
  290. counterfeit_detection, a library which considers problems in which one or more counterfeit coins are to be identified by the fact that they do not have the standard weight.
  291. counterfeit_detection_test
  292. cplex_solution_read, a program which extracts solution data from a CPLEX result file.
  293. cplex_solution_read_test
  294. cube_arbq_rule, a library 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.
  295. cube_arbq_rule_test
  296. cube_display, a program which displays a cube plot, over integer triples of data, of a function defined by two formulas, using plotcube.m, by Thomas Montagnon.
  297. cube_display_test
  298. cube_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the interior of the unit cube in 3D.
  299. cube_distance_test
  300. cube_exactness, a library which investigates the polynomial exactness of quadrature rules over the interior of a cube in 3D.
  301. cube_exactness_test
  302. cube_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a cube in 3D.
  303. cube_felippa_rule_test
  304. cube_grid, a library which computes a grid of points over the interior of a cube in 3D.
  305. cube_grid_test
  306. cube_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
  307. cube_integrals_test
  308. cube_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit cube in 3D.
  309. cube_monte_carlo_test
  310. cuda_loop, a library which shows how, in a CUDA program, the user's choice of block and thread factors determines the allocation of tasks to processors.
  311. cuda_loop_test
  312. cvt, a library which computes an N-point Centroidal Voronoi Tessellation (CVT) in M dimensions;
  313. cvt_1d_lloyd, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the interval [0,1], under a uniform density, using Lloyd's method to compute the Voronoi regions exactly.
  314. cvt_1d_lloyd_test
  315. cvt_1d_lumping, a program which allows the user to carry out a lumped version of Lloyd's iterative algorithm for a centroidal Voronoi Tessellation (CVT() in the interval [-1,+1], and is applied to investigate a relationship between CVT's and the Chebyshev Zero nodes.
  316. cvt_1d_lumping_test
  317. cvt_1d_nonuniform, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) in 1 dimension, under a nonuniform density, and plots the evolution of the locations of the generators during the iteration;
  318. cvt_1d_nonuniform_test
  319. cvt_1d_sampling, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the interval [0,1], under a uniform density, using sampling to estimate the Voronoi regions.
  320. cvt_1d_sampling_test
  321. cvt_2d_lumping, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the unit square [-1,1]^2, under a Chebyshev density, using weighted sampling ("lumping") to estimate the Voronoi regions.
  322. cvt_2d_lumping_test
  323. cvt_2d_sampling, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the unit square [0,1]x[0,1], under a uniform density, using sampling to estimate the Voronoi regions.
  324. cvt_2d_sampling_test
  325. cvt_3d_lumping, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the unit cube [-1,1]^3, under a Chebyshev density, using weighted sampling ("lumping") to estimate the Voronoi regions.
  326. cvt_3d_lumping_test
  327. cvt_3d_sampling, a program which computes an N-point Centroidal Voronoi Tessellation (CVT) within the unit cube [0,1]x[0,1]x[0,1], under a uniform density, using sampling to estimate the Voronoi regions.
  328. cvt_3d_sampling_test
  329. cvt_circle_nonuniform, a program which demonstrates the computation of a centroidal Voronoi Tessellation (CVT) over a circular region, using a nonuniform density.
  330. cvt_circle_nonuniform_test
  331. cvt_circle_uniform, a program which demonstrates the computation of a centroidal Voronoi Tessellation (CVT) over a circular region, using a uniform density.
  332. cvt_circle_uniform_test
  333. cvt_corn, a program which studies a 2D model of the growth of a corn kernel, by treating the surface and interior biological cells as points to be organized by a Centroidal Voronoi Tessellation (CVT) with a nonuniform density; during a sequence of growth steps, new biological cells are randomly added to the surface and interior.
  334. cvt_ellipse_uniform, a program which iteratively calculates a Centroidal Voronoi Tessellation (CVT) over an ellipse, with a uniform density.
  335. cvt_ellipse_uniform_test
  336. cvt_example_fifty_points, a program which illustrates the steps involved in the calculation of a Centroidal Voronoi Tessellation (CVT) of the unit square, with 50 generator points.
  337. cvt_example_five_points, a program which illustrates the steps involved in the calculation of a Centroidal Voronoi Tessellation (CVT) of the unit square, with 5 generator points.
  338. cvt_metric, a program which computes a Centroidal Voronoi Tessellation (CVT) under a spatially varying metric;
  339. cvt_metric_test
  340. cvt_movie, a program which creates an animation of the evolution of a Centroidal Voronoi Tessellation (CVT);
  341. cvt_movie2, a program which creates a Centroidal Voronoi Tessellation (CVT) movie;
  342. cvt_movie3, a program which creates a Centroidal Voronoi Tessellation (CVT) movie in a region of unusual shape;
  343. cvt_movie4, a program which creates a Centroidal Voronoi Tessellation (CVT) movie in a square, with a density function that drives points to the corners;
  344. cvt_movie5, a program which repeats cvt_movie3, but with hexagonal grid initialization, fixed points, and boundary projection;
  345. cvt_square_nonuniform, a program which iteratively calculates a Centroidal Voronoi Tessellation (CVT) over a square, with a nonuniform density.
  346. cvt_square_nonuniform_test
  347. cvt_square_pdf_discrete, a program which iteratively calculates a Centroidal Voronoi Tessellation (CVT) over a square, with a density determined from a discrete PDF.
  348. cvt_square_pdf_discrete_test
  349. cvt_square_uniform, a program which iteratively calculates a Centroidal Voronoi Tessellation (CVT) over a square, with a uniform density.
  350. cvt_square_uniform_test
  351. cvt_triangle_uniform, a program which iteratively calculates a Centroidal Voronoi Tessellation (CVT) over a triangle, with a uniform density.
  352. cvt_triangle_uniform_test
  353. cvtm_1d, a program which estimates a mirror-periodic centroidal Voronoi Tessellation (CVTM) in the periodic interval [0,1], using a version of Lloyd's iteration.
  354. cvtm_1d_test
  355. cvtp, a library which creates a CVTP dataset, that is, a Centroidal Voronoi Tessellation on a periodic region.
  356. cvtp_test
  357. cvtp_1d, a program which estimates a periodic centroidal Voronoi Tessellation (CVTP) in the periodic interval [0,1], using a version of Lloyd's iteration.
  358. cvtp_1d_test
  359. cycle_brent, a library which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle's length, using Brent's method.
  360. cycle_brent_test
  361. cycle_floyd, a library which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle's length, using Floyd's method.
  362. cycle_floyd_test
  363. cyclic_reduction, a library which solves a tridiagonal linear system using cyclic reduction;
  364. cyclic_reduction_test
  365. dg1d_advection, a library which uses the Discontinuous Galerkin Method (DG) to approximate a solution of the advection equation. The original version of the code was written by Jan Hesthaven and Tim Warburton.
  366. dg1d_advection_test
  367. dg1d_burgers, a library which uses the Discontinuous Galerkin Method (DG) to approximate a solution of the unsteady 1D Burgers equation. The original version of the code was written by Jan Hesthaven and Tim Warburton.
  368. dg1d_burgers_test
  369. dg1d_heat, a library which uses the Discontinuous Galerkin Method (DG) to approximate a solution of the unsteady 1D heat equation. The original version of the code was written by Jan Hesthaven and Tim Warburton.
  370. dg1d_heat_test
  371. dg1d_maxwell, a library which uses the Discontinuous Galerkin Method (DG) to approximate a solution of Maxwell's equations. The original version of the code was written by Jan Hesthaven and Tim Warburton.
  372. dg1d_maxwell_test
  373. dg1d_poisson, a program which applies the discontinuous Galerkin method (DG) to a 1D version of the Poisson equation; the original version of the code was written by Beatrice Riviere.
  374. dg1d_poisson_test
  375. diaphony, a program which reads a file of N points in M dimensions and computes its diaphony, a measure of point dispersion.
  376. diaphony_test
  377. dice_simulation, a program which simulates N tosses of M dice, making a histogram of the results.
  378. dice_simulation_test
  379. dictionary_code, a library which demonstates how a text file can be compressed and decompressed using a dictionary code.
  380. dictionary_code_test
  381. differ, a library which 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.
  382. differ_test
  383. digital_dice, a library which contains the scripts used to carry out the probability simulations described in Paul Nahin's "Digital Dice";
  384. digital_dice_test
  385. dijkstra, a library which implements a simple version of Dijkstra's minimum distance algorithm for graphs.
  386. dijkstra_test
  387. discrete_pdf_sample_2d, a program 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.
  388. discrete_pdf_sample_2d_test
  389. disk_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of the unit disk in 2D.
  390. disk_distance_test
  391. disk_grid, a library 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.
  392. disk_grid_test
  393. disk_integrands, a library which defines several test integrals over the unit disk, making it possible to check the accuracy of quadrature rules.
  394. disk_integrands_test
  395. disk_monte_carlo, a library which applies a Monte Carlo method to estimate integrals of a function over the interior of the general disk in 2D.
  396. disk_monte_carlo_test
  397. disk_rule, a library which computes quadrature rules for the general disk in 2D.
  398. disk_rule_test
  399. disk01_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.
  400. disk01_integrals_test
  401. disk01_monte_carlo, a library which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit disk in 2D;
  402. disk01_monte_carlo_test
  403. disk01_quarter_monte_carlo, a library which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit quarter disk in 2D;
  404. disk01_quarter_monte_carlo_test
  405. disk01_quarter_rule, a program which computes a quadrature rule for the unit quarter disk in 2D, that is, the interior of the circle of radius 1 and center (0,0).
  406. disk01_quarter_rule_test
  407. disk01_rule, a library which computes quadrature rules for the unit disk in 2D.
  408. disk01_rule_test
  409. dist_plot, a program which makes contour plots of the distance function, as defined and used in Persson and Strang's distmesh() code;
  410. dist_plot_test
  411. distance_to_position, a program which estimates the positions of cities which minimizes the discrepancy with a city-to-city distance table.
  412. distance_to_position_test
  413. distance_to_position_sphere, a program which estimates the positions of cities on a sphere (such as the earth) based on a city-to-city distance table.
  414. distance_to_position_sphere_test
  415. distmesh, a library which carries out a method of mesh generation; by Per-Olof Persson and Gilbert Strang.
  416. distmesh_test
  417. distmesh_3d, a library which carries out a method of mesh generation in 3D, by Per-Olof Persson and Gilbert Strang.
  418. distmesh_3d_test
  419. divdif, a library which uses divided differences to compute the polynomial interpolant to a given set of data.
  420. divdif_test
  421. dlap_io, a library which reads and writes DLAP sparse matrix files;
  422. dlap_io_test
  423. doomsday, a library 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.
  424. doomsday_test
  425. double_c_data, programs which generate, plot or write out 2D data that forms two interlocking "C" shapes.
  426. double_c_data_test
  427. dream, a program 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.
  428. dream_test
  429. drug_dosage, a program which simulates the variation in the blood levels of a medicinal drug being administered at specific dosages and times over a course of treatment. The level should rise about a given medicinal level for some time, but stay below the toxic level.
  430. drug_dosage_test
  431. duel_simulation, a program which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
  432. duel_simulation_test
  433. dueling_idiots, a library which contains the scripts used to carry out the probability simulations described in Paul Nahin's "Dueling Idiots";
  434. dueling_idiots_test
  435. e_spigot, a program which produces N digits of the decimal expansion of e.
  436. e_spigot_test
  437. earth_sphere, a program which can display a 3D image of the earth;
  438. earth_sphere_test
  439. edge, a library which defines some test functions in 1D, 2D and 3D for the detection of edges or discontinuities.
  440. edge_test
  441. eigenfaces, a MATLAB library which applies principal component analysis to a set of images.
  442. eigenfaces_test
  443. ellipse_grid, a library which computes a grid of points over the interior of an ellipse in 2D.
  444. ellipse_grid_test
  445. ellipse_monte_carlo, a library which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipse in 2D.
  446. ellipse_monte_carlo_test
  447. ellipsoid_grid, a library which computes a grid of points over the interior of an ellipsoid in 3D.
  448. ellipsoid_grid_test
  449. ellipsoid_monte_carlo, a library which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.
  450. ellipsoid_monte_carlo_test
  451. elliptic_integral, a library which evaluates complete elliptic integrals of first, second and third kind, using Carlson's elliptic integral functions.
  452. elliptic_integral_test
  453. entrust, a library which uses trust-region methods to solve problems in scalar optimization or nonlinear least squares (NLS), by Jeff Borggaard and Gene Cliff.
  454. entrust_test
  455. epicycloid, a library which computes, plots and tabulates an epicycloid curve.
  456. epicycloid_test
  457. equidistribution, investigates equidistribution properties relating to density functions and point sets.
  458. equidistribution_test
  459. errors, programs which illustrate the failure of numerical algorithms;
  460. errors_test
  461. exactness, a library 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).
  462. exactness_test
  463. exm, a library which illustrates the computational experiments in "Experiments with Matlab", by Cleve Moler.
  464. faces_average, a program which averages several images of the same face;
  465. faces_average_test
  466. fair_dice_simulation, a program which simulates N tosses of 2 dice, making a histogram of the results.
  467. fair_dice_simulation_test
  468. fastgl, a library which carries out the rapid computation of the Kth value and weight of an N point Gauss-Legendre quadrature rule, by Ignace Bogaert.
  469. fastgl_test
  470. faure, a library which computes the Faure M dimensional Quasi Mont Carlo (QMC) sequence;
  471. faure_test
  472. fd_predator_prey, a program which solves a time-dependent predator prey system using the finite difference method (FDM).
  473. fd_predator_prey_test
  474. fd1d_advection_diffusion_steady, a program 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.
  475. fd1d_advection_diffusion_steady_test
  476. fd1d_advection_ftcs, a program 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) difference scheme.
  477. fd1d_advection_ftcs_test
  478. fd1d_advection_lax, a program 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.
  479. fd1d_advection_lax_test
  480. fd1d_advection_lax_wendroff, a program 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.
  481. fd1d_advection_lax_wendroff_test
  482. fd1d_burgers_lax, a program 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.
  483. fd1d_burgers_lax_test
  484. fd1d_burgers_leap, a program which applies the finite difference method (FDM) and the leapfrog approach to solve the non-viscous time-dependent Burgers equation in one spatial dimension.
  485. fd1d_burgers_leap_test
  486. fd1d_bvp, a program which applies the finite difference method (FDM) to a two point boundary value problem (BVP) in one spatial dimension.
  487. fd1d_bvp_test
  488. fd1d_display, a program which reads a pair of files defining a 1D model for the finite difference method (FDM), and plots the data.
  489. fd1d_display_test
  490. fd1d_heat_explicit, a library which implements a finite difference method (FDM), explicit in time, to solve the time dependent 1D heat equation;
  491. fd1d_heat_explicit_test
  492. fd1d_heat_implicit, a program which implements a finite difference method (FDM), implicit in time, to solve the time dependent 1D heat equation;
  493. fd1d_heat_implicit_test
  494. fd1d_heat_steady, a program which implements a finite difference method (FDM) for the steady (time independent) 1D heat equation;
  495. fd1d_heat_steady_test
  496. fd1d_predator_prey, a program which implements a finite difference method (FDM) for a time and 1D space dependent predator-prey system, by Marcus Garvie.
  497. fd1d_predator_prey_test
  498. fd1d_predator_prey_plot, a program which plots solutions from the fd1d_predator_prey program, by Marcus Garvie.
  499. fd1d_predator_prey_plot_test
  500. fd1d_wave, a library which applies the finite difference method (FDM) to solve the time-dependent wave equation utt = c * uxx in one spatial dimension.
  501. fd1d_wave_test
  502. fd2d_heat_steady, a program which implements a finite difference method (FDM) for the steady (time independent) 2D heat equation;
  503. fd2d_heat_steady_test
  504. fd2d_predator_prey, a program which implements a finite difference method (FDM) for a time and 2D space dependent predator-prey system, by Marcus Garvie.
  505. fd2d_predator_prey_test
  506. fe2d_predator_prey_fast, programs which implement a finite element method (FEM) for a time and 2D space dependent predator-prey system, on an arbitrary triangulated region, with a variety of possible boundary conditions, incorporating some Matlab optimizations, by Marcus Garvie.
  507. fe2d_predator_prey_fast_test
  508. fem_basis, a library which can define and evaluate finite element method (FEM) basis functions for any degree in an M dimensional simplex (1D interval, 2D triangle, 3D tetrahedron, and higher dimensional generalizations.)
  509. fem_basis_test
  510. fem_basis_q4_display, a program which displays any single finite element method (FEM) basis function associated with an arbitrary linear quadrilateral Q4 mesh;
  511. fem_basis_q4_display_test
  512. fem_basis_t3_display, a program which displays a basis function for the finite element method (FEM) associated with an arbitrary 3-node triangle T3 mesh;
  513. fem_basis_t3_display_test
  514. fem_basis_t4_display, a program which displays a basis function for the finite element method (FEM) associated with an arbitrary 4-node triangle T4 mesh;
  515. fem_basis_t6_display, a program which displays a basis function for the finite element method (FEM) associated with an arbitrary 6-node triangle T6 mesh;
  516. fem_io, a library which reads or writes FEM files, which describe the nodes, elements, and function values associated with a finite element method (FEM) model;
  517. fem_io_test
  518. fem_neumann, a program which sets up a time-dependent reaction-diffusion equation in 1D, with Neumann boundary conditions, discretized using the finite element method (FEM).
  519. fem_neumann_test
  520. fem_to_gmsh, a program 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.
  521. fem_to_gmsh_test
  522. fem_to_mesh, a program which reads a set of FEM files defining the node coordinates, boundary nodes, and elements of a finite element mesh, and rewrites the data as a MESH file.
  523. fem_to_mesh_test
  524. fem_to_triangle, a program 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 use by Jonathan Shewchuk's triangle program.
  525. fem_to_triangle_test
  526. 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.
  527. fem_to_xml_test
  528. fem1d, a program which applies the finite element method (FEM), using piecewise linear basis functions, to a linear two point boundary value problem (BVP) in 1D;
  529. fem1d_test
  530. fem1d_adaptive, a program 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;
  531. fem1d_adaptive_test
  532. fem1d_approximate, a program which uses a given finite element mesh and piecewise linear basis functions to approximate a set of data points, while controlling the variation in the derivative.
  533. fem1d_approximate_test
  534. fem1d_bvp_linear, a program 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.
  535. fem1d_bvp_linear_test
  536. fem1d_bvp_quadratic, a program 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.
  537. fem1d_bvp_quadratic_test
  538. fem1d_display, a program which reads three files defining a 1D arbitrary degree basis function associated with the finite element method (FEM), and displays a plot.
  539. fem1d_display_test
  540. fem1d_function_10_display, a program which reads three files defining a 1D piecewise linear finite element method (FEM) function and displays a plot.
  541. fem1d_display_function_10_test
  542. fem1d_heat_explicit, a program which uses the finite element method (FEM) and explicit time stepping to solve the time dependent heat equation in 1D.
  543. fem1d_heat_explicit_test
  544. fem1d_heat_implicit, a program which uses the finite element method (FEM) and implicit time stepping to solve the time dependent heat equation in 1D.
  545. fem1d_heat_implicit_test
  546. fem1d_heat_steady, a program which implements the finite element method (FEM) for the steady (time independent) 1D heat equation;
  547. fem1d_heat_steady_test
  548. fem1d_lagrange, a library 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.
  549. fem1d_lagrange_test
  550. fem1d_nonlinear, a program which applies the finite element method (FEM), with piecewise linear basis functions, to a nonlinear two point boundary value problem (BVP) in 1D;
  551. fem1d_nonlinear_test
  552. fem1d_pack, a library which contains utilities for 1D finite element method (FEM) calculations.
  553. fem1d_pack_test
  554. fem1d_pmethod, a program which applies the p-method version of the finite element method (FEM) to a linear two point boundary value problem (BVP) in 1D;
  555. fem1d_pmethod_test
  556. fem1d_project, a program 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.
  557. fem1d_project_test
  558. fem1d_sample, a program which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.
  559. fem1d_sample_test
  560. fem1d_spectral_numeric, a program which applies the spectral finite element method (FEM) to solve the problem u'' = - pi^2 sin(x) over [-1,+1] with zero boundary conditions, using as basis elements the functions x^n*(x-1)*(x+1), and carrying out the integration numerically, using MATLAB's quad() function, by Miro Stoyanov.
  561. fem1d_spectral_numeric_test
  562. fem1d_spectral_symbolic, a program which applies the spectral finite element method (FEM) to solve the problem u'' = - pi^2 sin(x) over [-1,+1] with zero boundary conditions, using as basis elements the functions x^n*(x-1)*(x+1), and carrying out the integration using MATLAB's symbolic toolbox, by Miro Stoyanov.
  563. fem1d_spectral_symbolic_test
  564. fem2d_bvp_linear, a program which applies the finite element method (FEM), with piecewise bilinear elements, to a 2D boundary value problem (BVP) in a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.
  565. fem2d_bvp_linear_test
  566. fem2d_bvp_quadratic, a program 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.
  567. fem2d_bvp_quadratic_test
  568. fem2d_bvp_serene, a program 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.
  569. fem2d_bvp_serene_test
  570. fem2d_heat, a program which applies the finite element method (FEM) to the time dependent heat equation on an arbitrary triangulated region in 2D;
  571. fem2d_heat_test
  572. fem2d_heat_rectangle, a program which applies the finite element method (FEM) for the time-dependent heat equation on a triangulated square in 2D;
  573. fem2d_heat_sparse, a program which applies the finite element method (FEM) to the heat equation on an arbitrary triangulated region in 2D, using MATLAB's sparse matrix features;
  574. fem2d_heat_sparse_test
  575. fem2d_mesh_display, a program which reads a FEM model of a 2D mesh of elements of any uniform order and displays a plot of the elements and nodes, with optional numbering.
  576. fem2d_mesh_display_test
  577. fem2d_pack, a library which performs simple 2D finite element method (FEM) computations;
  578. fem2d_pack_test
  579. fem2d_poisson_rectangle, a program which solves the 2D Poisson equation on a rectangle, using the finite element method (FEM), and piecewise quadratic triangular elements.
  580. fem2d_poisson_rectangle_linear, a program which solves the 2D Poisson equation on a rectangle, using the finite element method (FEM), and piecewise linear triangular elements.
  581. fem2d_project, a program which projects a function f(x,y), given as data, into a given finite element space of piecewise linear triangular elements.
  582. fem2d_project_test
  583. fem2d_project_function, a program which projects a function f(x,y), given as a formula, into a given finite element space of piecewise linear triangular elements.
  584. fem2d_project_function_test
  585. fem2d_sample, a program which samples a finite element function, defined by FEM files, (three text files describing the nodes, triangles, and coefficients); at arbitrary points.
  586. fem2d_sample_test
  587. fem2d_scalar_display, a program which reads information about nodes, elements and nodal values for a 2D finite element method (FEM) and creates a surface plot of U(X,Y), using the MATLAB graphics system.
  588. fem2d_scalar_display_test, a program which reads information about nodes, elements and nodal values for a 2D finite element method (FEM) and creates a surface plot of U(X,Y), using the MATLAB graphics system.
  589. fem2d_scalar_display_brief, a program which reads information about nodes, elements and nodal values for a 2D finite element method (FEM) and creates a surface plot of U(X,Y), using the MATLAB graphics system, in 5 lines of code.
  590. fem2d_scalar_display_brief_test
  591. fem2d_scalar_display_gpl, a program which reads information about nodes, elements and nodal values for a 2D finite element method (FEM) and creates a GPL file describing a surface plot of U(X,Y), which can be displayed by GNUPLOT.
  592. fem2d_scalar_display_gpl_test,
  593. fem3d_pack, a library which contains utilities for 3D finite element method (FEM) calculations.
  594. fem3d_pack_test
  595. fem3d_project, a program which projects a function f(x,y,z), given as a data, into a given space of piecewise linear tetrahedral elements for use in the finite element method (FEM).
  596. fem3d_project_test
  597. fem3d_sample, a program library which evaluates a function defined on a 3D tetrahedral mesh as part of the finite element method (FEM).
  598. fem3d_sample_test
  599. fern, a program which uses MATLAB graphics to compute and display the Barnsley fractal fern.
  600. fern_test
  601. feynman_kac_1d, a program which demonstrates the use of the Feynman-Kac algorithm to solve Poisson's equation in a 1D interval by averaging stochastic paths to the boundary.
  602. feynman_kac_1d_test
  603. feynman_kac_2d, a program which demonstrates the use of the Feynman-Kac algorithm to solve Poisson's equation in a 2D ellipse by averaging stochastic paths to the boundary.
  604. feynman_kac_2d_test
  605. feynman_kac_3d, a program which demonstrates the use of the Feynman-Kac algorithm to solve Poisson's equation in a 3D ellipsoid by averaging stochastic paths to the boundary.
  606. feynman_kac_1d_test
  607. fft_serial, a program which computes a Fast Fourier Transform (FFT), and is intended as a starting point for implementing a parallel version.
  608. fft_serial_test
  609. fibonacci_spiral, a program which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.
  610. fibonacci_spiral_test
  611. file_increment, a program which makes a copy of a file containing an integer array, after incrementing each entry by a given value.
  612. file_increment_test
  613. file_name_sequence, a program which demonstrates ways to generate a sequence of filenames, which can be useful when generating a sequence of still snapshots to be animated later.
  614. file_name_sequence_test
  615. files_multiple_test
  616. filon, a library which can approximate integrals in which the integrand includes an oscillatory factor of sin(k*x) or cos(k*x).
  617. filon_test
  618. filum, a library which handles files and filenames;
  619. filum_test
  620. fire_serial, a program which simulates a forest fire over a rectangular array of trees, starting at a single random location. It is intended as a starting point for the development of a parallel version.
  621. fire_serial_test
  622. fitnlm_test
  623. flame_ode, a library which considers an ordinary differential equation (ODE) which models the growth of a ball of flame in a combustion process.
  624. fire_serial_test
  625. florida_cvt_geo, programs which explore the creation of a centroidal Voronoi Tessellation (CVT) of the state of Florida, based solely on geometric considerations.
  626. florida_cvt_pop, programs which explore the creation of a centroidal Voronoi Tessellation (CVT) of the state of Florida, based on population considerations.
  627. floyd, a library which implements Floyd's algorithm for finding the shortest distance between pairs of nodes on a directed graph.
  628. floyd_test
  629. fmincon_test
  630. fn, a library which evaluates elementary and special functions using Chebyshev polynomials; functions include Airy, Bessel I, J, K and Y, beta, confluent hypergeometric, error, gamma, log gamma, Pochhammer, Spence; integrals include hyperbolic cosine, cosine, Dawson, exponential, logarithmic, hyperbolic sine, sine; by Wayne Fullerton.
  631. fn_test
  632. freefem_msh_io, a library which can read and write files used by the FreeFem++ finite element program to store mesh information.
  633. freefem_msh_io_test
  634. gamblers_ruin_simulation, a program which simulates the game of gambler's ruin.
  635. gamblers_ruin_simulation_test
  636. gauss_seidel, a program which implements the Gauss-Seidel iteration for linear systems.
  637. gauss_seidel_test
  638. gauss_seidel_poisson_1d, a program which demonstrates how the linear system for a discretized version of the steady 1D Poisson equation can be solved by the Gauss-Seidel iteration.
  639. gauss_seidel_poisson_1d_test
  640. gegenbauer_cc, a library which computes the Gegenbauer weighted integral of a function f(x) using a Clenshaw-Curtis approach.
  641. gegenbauer_cc_test
  642. gegenbauer_exactness, a program which tests the polynomial exactness of Gauss-Gegenbauer quadrature rules.
  643. gegenbauer_exactness_test
  644. gegenbauer_polynomial, a library which evaluates the Gegenbauer polynomial and associated functions.
  645. gegenbauer_polynomial_test
  646. gegenbauer_rule, a program which computes and writes out a Gauss-Gegenbauer quadrature rule of given order.
  647. gegenbauer_rule_test
  648. gen_hermite_exactness, a program which tests the polynomial exactness of generalized Gauss-Hermite quadrature rules.
  649. gen_hermite_exactness_test
  650. gen_hermite_rule, a program which computes and writes out a generalized Gauss-Hermite quadrature rule of given order and parameter value.
  651. gen_hermite_rule_test
  652. gen_laguerre_exactness, a program which tests the polynomial exactness of generalized Gauss-Laguerre quadrature rules.
  653. gen_laguerre_exactness_test
  654. gen_laguerre_rule, a program which computes and writes out a generalized Gauss-Laguerre quadrature rule of given order and parameter value.
  655. gen_laguerre_rule_test
  656. geometry, a library which performs geometric calculations in 2, 3 and M dimensional space, including the computation of angles, areas, containment, distances, intersections, lengths, and volumes.
  657. geometry_test
  658. gl_display, a program which displays the points used in a 2D Gauss-Legendre quadrature rule;
  659. gl_display_test
  660. gmsh_io, a library which can read or write some of the files created by the Gmsh program for 1D, 2D or 3D meshes used by the finite element method (FEM).
  661. gmsh_io_test
  662. gmsh_to_fem, a program which reads a mesh data file created by the GMSH program and writes a pair of node and element files that correspond to the FEM format.
  663. gmsh_to_fem_test
  664. gnuplot_test
  665. gpl_display, a library which tries to read the data in a typical gnuplot GPL file, and display it in a more attractive way than gnuplot is capable of.
  666. gpl_display_test
  667. gram_polynomial, a library which evaluates the Gram polynomials and associated functions.
  668. gram_polynomial_test
  669. gram_schmidt, a library which implements the Gram-Schmidt process to orthogonalize and normalize a set of vectors.
  670. gram_schmidt_test
  671. graph_representation, a library which can express the representation of an abstract mathematical graph in several ways.
  672. graph_representation_test
  673. graphics_test
  674. gray_code_display, a program which computes the Hamming distance tables for both the binary and Gray codes, and displays 3D plots that illustrate how the Gray code does a better job of providing nearby representations for nearby numbers.
  675. gray_code_display_test
  676. grf_display, a program which reads a GRF file defining a mathematical graph and displays it in the MATLAB graphics window.
  677. grf_display_test
  678. grf_io, a library which reads or writes a GRF file;
  679. grf_io_test
  680. grid, a library which randomly selects N distinct points from a uniform grid in the unit hypercube in M-dimensional space.
  681. grid_test
  682. grid_display, a program which reads a file of points on a grid or sparse grid, displays the grid and saves the image in a png file;
  683. grid_display_test
  684. gridlines, a library which gives the user more control over drawing gridlines on a graph than the built in "grid on" command.
  685. gridlines_test
  686. grids_display, a program which reads two files of grids or sparse grids, displaying the first with hollow blue dots, the second with solid red dots.
  687. grids_display_test
  688. gurobi_solution_read, a program which reads a file created by the optimization package GUROBI, representing the solution of a polyomino tiling problem, and writes out a simple ASCII file that can be read by load().
  689. gurobi_solution_read_test
  690. haar, a library which computes the Haar transform of data.
  691. haar_test
  692. halton, a library which computes elements of a Halton Quasi Monte Carlo (QMC) sequence, using a simple interface.
  693. halton_test
  694. hammersley, a library which computes elements of a Hammersley Quasi Monte Carlo (QMC) sequence, using a simple interface.
  695. hammersley_test
  696. hamming, a MATLAB library which implements some simple versions of Hamming codes which can detect and correct errors in data.
  697. hamming_test
  698. hand_area, a program which estimates the area of a curve which outlines a person's hand.
  699. hand_area_test
  700. hand_data, programs which carry out some numerical exercises based on data that came from tracing several points on a person's hand.
  701. hand_data_test
  702. hankel_cholesky, a library which computes the upper Cholesky factor R of a nonnegative definite symmetric H matrix so that H = R' * R.
  703. hankel_cholesky_test
  704. hankel_pds, a library which can compute a lower triangular matrix L which is the Cholesky factor of a positive definite (symmetric) Hankel matrix H, that is, H = L * L'.
  705. hankel_pds_test
  706. heated_plate, a program which solves the steady state heat equation in a 2D rectangular region, and is intended as a starting point for a parallel version.
  707. heated_plate_test
  708. hello, a program which prints out "Hello, world!".
  709. hello_test
  710. hermite, a library which computes the Hermite interpolant, a polynomial that matches function values and derivatives.
  711. hermite_test
  712. hermite_cubic, a library which can compute the value, derivatives or integral of a Hermite cubic polynomial, or manipulate an interpolating function made up of piecewise Hermite cubic polynomials.
  713. hermite_cubic_test
  714. hermite_exactness, a program which tests the polynomial exactness of Gauss-Hermite quadrature rules to estimate the integral of a function with density exp(-x^2) over the interval (-oo,+oo).
  715. hermite_exactness_test
  716. hermite_polynomial, a library which evaluates the physicist's Hermite polynomial, the probabilist's Hermite polynomial, the Hermite function, and related functions.
  717. hermite_polynomial_test
  718. hermite_product_display, a program which displays an image of a function created by the Cartesian product of two Hermite polynomials, such as f(x,y) = h(3,x) * h(1,y).
  719. hermite_product_display_test
  720. hermite_product_polynomial, a library which defines Hermite product polynomials, creating a multivariate polynomial as the product of univariate Hermite polynomials.
  721. hermite_product_polynomial_test
  722. hermite_rule, a program 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).
  723. hermite_rule_test
  724. hermite_integrands, a library which defines test integrands for Hermite integrals with density exp(-x^2) over the interval (-oo,+oo).
  725. hermite_integrands_test
  726. hexagon_integrals, a library which returns the exact value of the integral of any monomial over the interior of a hexagon.
  727. hexagon_integrals_test
  728. hexagon_rule, a MATLAB library which computes a quadrature rule over the interior of the unit hexagon.
  729. hexagon_rule_test
  730. high_card_simulation, a program 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.
  731. high_card_simulation_test
  732. hilbert_curve, a library which computes the sequence of discrete Hilbert curves whose limit is a space-filling curve.
  733. hilbert_curve_test
  734. hilbert_curve_display, a library which can plot a Hilbert curve of given order.
  735. hilbert_curve_display_test
  736. histogram_data_2d_sample, a program which demonstrates how to construct a Probability Density Function (PDF) from sample data over a 2D domain, and then to use that PDF to create new samples.
  737. histogram_data_2d_test
  738. histogram_discrete, a library which tries to make a histogram of data without using bins.
  739. histogram_discrete_test
  740. histogram_display, a program which makes a bar plot of a set of data stored as columns in a file; the first column is the X values, and all the other columns are Y values to be shown as a stack of bars;
  741. histogram_display_test
  742. histogram_pdf_sample, a library which demonstrates how sampling can be done by starting with the formula for a PDF, creating a histogram, constructing a histogram for the CDF, and then sampling.
  743. histogram_pdf_sample_test
  744. histogram_pdf_2d_sample, a library which demonstrates how uniform sampling of a 2D region with respect to some known Probability Density Function (PDF) can be approximated by decomposing the region into rectangles, approximating the PDF by a piecewise constant function, constructing a histogram for the CDF, and then sampling.
  745. histogram_pdf_2d_sample_test
  746. histogramize, a program which takes a vector of data and organizes it into a histogram of a given number of bins with given width and range, which can be displayed as a bar chart.
  747. histogramize_test
  748. hits, a library which uses the HITS algorithm to assign authority and hub indices to a set of nodes in a directed network.
  749. hits_test
  750. humps, a MATLAB library which evaluates the humps function, its derivative and antiderivative.
  751. humps_test
  752. hyperball_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of the unit hyperball in M dimensions.
  753. hyperball_distance_test
  754. hyperball_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.
  755. hyperball_integrals_test
  756. hyperball_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit ball in M dimensions;
  757. hyperball_monte_carlo_test
  758. hypercube_exactness, a program which tests the polynomial exactness of a quadrature rule over the interior of the unit hypercube in M dimensions.
  759. hyperball_exactness_test
  760. hypercube_grid, a library which computes a grid of points over the interior of a hypercube in M dimensions.
  761. hypercube_grid_test
  762. hypercube_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.
  763. hypercube_integrals_test
  764. hypercube_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit hypercube in M dimensions.
  765. hypercube_monte_carlo_test
  766. hypersphere_angle, a MATLAB library which considers the problem of describing the typical value of the angle between a pair of points randomly selected on the unit hypersphere in M dimensions. Since by symmetry, this will be zero, we instead look at the average of the absolute value of the dot product, and the corresponding angle. This starts out at 1 for dimension 1, and rapidly decreases as the spatial dimension increases.
  767. hypersphere_angle_test
  768. hypersphere_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the surface of the unit hypersphere in M dimensions.
  769. hypersphere_distance_test
  770. hypersphere_integrals, a library which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.
  771. hypersphere_integrals_test
  772. hypersphere_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in M dimensions;
  773. hypersphere_monte_carlo_test
  774. hypersphere_properties, a library 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.
  775. hypersphere_properties_test
  776. hypersphere_surface, a library which illustrates a procedure for estimating the location of a hypersurface in M dimensional space defined by a characteristic function or a signed function.
  777. hypersphere_surface_test
  778. i4lib, a library which contains many utility routines, using single precision integer (I4) arithmetic.
  779. i4lib_test
  780. i4mat_rref2, a library which computes a version of the reduced row echelon form of an integer matrix.
  781. i4mat_rref2_test
  782. ibisect, a program which interactively uses bisection to seek a zero of a function f(x) within a domain a ≤ x ≤ b;
  783. ibisect_test
  784. igauss, a program which interactively uses an n-point Gauss quadrature rule to estimate the integral of a function f(x) over an interval [a,b].
  785. igauss_test
  786. ihs, a library which generates the Improved Hypercube Sampling (IHS) M dimensional Quasi Mont Carlo (QMC) sequence;
  787. ihs_test
  788. image_boundary, a library which reports the pixels which form the boundary between the black and white regions of a simple image.
  789. image_boundary_test
  790. image_components, a library which seeks the connected nonzero or nonblack components of an image or an integer array.
  791. image_components_test
  792. image_contrast, programs which applies image processing techniques to increase the contrast in an image.
  793. image_contrast_test
  794. image_decimate, a library which drops the even rows and columns from an image.
  795. image_decimate_test
  796. image_denoise, a library which applies simple filtering operations to a noisy image.
  797. image_denoise_test
  798. image_diffuse, a library which uses diffusion to smooth out an image.
  799. image_diffuse_test
  800. image_double, a library which doubles the height and width of an image by repeating each row and column.
  801. image_double_test
  802. image_edge, a library which demonstrates a simple procedure for edge detection in images.
  803. image_edge_test
  804. image_match_genetic, a program which tries to match a 256x256 JPEG image by blending 32 colored rectangles, using ideas from genetic algorithms, based on an program by Nick Berry.
  805. image_noise, programs which add noise to an image.
  806. image_noise_test
  807. image_normalize, a MATLAB program which reads image data from a file, converts it (if necessary) to grayscale, resizes it to H pixels by W pixels.
  808. image_normalize_test
  809. image_quantization, a library which demonstrates how the KMEANS algorithm can be used to reduce the number of colors or shades of gray in an image.
  810. image_quantization_test
  811. image_rgb_to_gray, programs which makes a grayscale version of an RGB image.
  812. image_rgb_to_gray_test
  813. image_threshold, programs which make a black and white version of a grayscale image by setting all pixels below or above a threshold value to black or white.
  814. image_threshold_test
  815. imshow_numeric, a program which accepts a numeric 2D array and displays it as a grayscale image.
  816. imshow_numeric_test
  817. index, a library which converts an M dimensional 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.
  818. index_test
  819. interp, a library which can be used for parameterizing and interpolating data;
  820. interp_test
  821. interp_cheby, a program which interactively uses n Chebyshev spaced nodes in the interval [a,b] to interpolate a function f(x).
  822. interp_cheby_test
  823. interp_equal, a program which interactively uses n equally spaced nodes in the interval [a,b] to interpolate a function f(x).
  824. interp_equal_test
  825. interp_trig, a library which can be used for trigonometric interpolation.
  826. interp_trig_test
  827. iplot, a program which interactively plots a function f(x) over a domain a ≤ x ≤ b;
  828. iplot_test
  829. isbn, a library which can determine the check digit for an International Standard Book Number or report whether a given ISBN is valid.
  830. isbn_test
  831. isecant, a program which interactively uses the secant method to seek a zero of a function f(x) given two starting estimates a and b;
  832. isecant_test
  833. ising_2d_simulation, a program which simulates the evolution of a 2D array of positive and negative charges, each of which is likely to flip to be in agreement with neighbors.
  834. ising_2d_simulation_test
  835. itrap, a program which interactively applies a trapezoidal quadrature rule using n intervals to estimate the integral of a function f(x) over an interval [a,b].
  836. itrap_test
  837. jacobi, a program which implements the Jacobi iteration for the iterative solution of linear systems.
  838. jacobi_test
  839. jacobi_eigenvalue, a library which implements the Jacobi iteration for the iterative determination of the eigenvalues and eigenvectors of a real symmetric matrix.
  840. jacobi_eigenvalue_test
  841. jacobi_exactness, a program which tests the polynomial exactness of rules for integrals with a Jacobi weight function.
  842. jacobi_exactness_test
  843. jacobi_poisson_1d, a program which demonstrates how the linear system for a discretized version of the steady 1D Poisson equation can be solved by the Jacobi iteration.
  844. jacobi_poisson_1d_test
  845. jacobi_polynomial, a library which evaluates the Jacobi polynomial and associated functions.
  846. jacobi_polynomial_test
  847. jacobi_rule, a program which computes and writes out a Gauss-Jacobi quadrature rule of given order.
  848. jacobi_rule_test
  849. kelley, a library which implements iterative methods for linear and nonlinear problems, by Tim Kelley.
  850. kelley_test
  851. kmeans, a library which handles the K-Means problem, which organizes a set of N points in M dimensions into K clusters;
  852. kmeans_test
  853. kmeans_fast, a library which contains several different algorithms for the K-Means problem, which organizes a set of N points in M dimensions into K clusters, by Charles Elkan.
  854. kmeans_fast_test
  855. knapsack_01, a library which uses brute force to solve small versions of the 0/1 knapsack problem;
  856. knapsack_01_test
  857. kronrod, a library which can compute a Gauss and Gauss-Kronrod pair of quadrature rules of arbitrary order, by Robert Piessens, Maria Branders.
  858. kronrod_test
  859. l1norm, a library which estimates the L1 norm of a function over an interval [A,B], with the function entered as a string.
  860. l1norm_test
  861. l2dot, a library which estimates the L2 dot product of two functions over an interval [A,B], with the functions entered as a string.
  862. l2dot_test
  863. l2norm, a library which estimates the L2 norm of a function over an interval [A,B], with the function entered as a string.
  864. l2norm_test
  865. l4lib, a library which contains many utility routines, using one byte logical (L4) variables.
  866. l4lib_test
  867. lagrange_approx_1d, a library which defines and evaluates the Lagrange polynomial p(x) of degree m which approximates a set of nd data points (x(i),y(i)).
  868. lagrange_approx_1d_test
  869. lagrange_basis_display, a library which displays the basis functions associated with a given set of nodes used with the Lagrange interpolation scheme.
  870. lagrange_basis_display_test
  871. lagrange_interp_1d, a library which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data depending on a 1D argument, so that p(x(i)) = y(i).
  872. lagrange_interp_1d_test
  873. lagrange_interp_2d, a library which defines and evaluates the Lagrange polynomial p(x,y) which interpolates a set of data depending on a 2D argument that was evaluated on a product grid, so that p(x(i),y(j)) = z(i,j).
  874. lagrange_interp_2d_test
  875. lagrange_interp_nd, a library which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data depending on an M dimensional argument that was evaluated on a product grid, so that p(x(i)) = z(i).
  876. lagrange_interp_nd_test
  877. lagrange_nd, a library which implements several multivariate Lagrange interpolation schemes developed by Tomas Sauer.
  878. lagrange_nd_test
  879. laguerre_exactness, a program which tests the polynomial exactness of Gauss-Laguerre quadrature rules for integrating functions with density exp(-x) over [0,+oo).
  880. laguerre_exactness_test
  881. laguerre_integrands, a library which implements test problems for approximate integration over a semi-infinite interval, often carried out using Gauss-Laguerre quadrature.
  882. laguerre_integrands_test
  883. laguerre_polynomial, a library which evaluates the Laguerre polynomial, the generalized Laguerre polynomials, and the Laguerre function.
  884. laguerre_polynomial_test
  885. laguerre_product, a library which computes weighted integrals of products of Laguerre polynomials.
  886. laguerre_product_test
  887. laguerre_rule, a program which computes a Gauss-Laguerre quadrature rule of given order, and writes it to a file.
  888. laguerre_rule_test
  889. laplacian, a library which carries out computations related to the discrete Laplacian operator, including full or sparse evaluation, evaluation for unequally spaced data sampling points, application to a set of data samples, solution of associated linear systems, eigenvalues and eigenvectors, and extension to 2D and 3D geometry.
  890. laplacian_test
  891. latin_center, a library which computes N points in an M dimensional Latin Center square;
  892. latin_center_test
  893. latin_cover, a library which produces N Latin squares which cover an NxN square, or NxN Latin cubes which cover an NxNxN cube.
  894. latin_cover_test
  895. latin_edge, a library which returns N points in an M dimensional Latin Edge square;
  896. latin_edge_test
  897. latin_random, a library which returns N points in an M dimensional Latin Random square;
  898. latin_random_test
  899. latinize, a program which adjusts N points in M dimensions to form a Latin hypercube;
  900. latinize_test
  901. lattice_rule, a library which returns lattice rules for M dimensional integration;
  902. lattice_rule_test
  903. lcvt, a library which makes a sort of Latinized Centroidal Voronoi Tessellation (LCVT);
  904. lcvt_test
  905. least_squares_approximant, a library which finds a polynomial approximant to data using linear least squares (LLS).
  906. least_squares_approximant_test
  907. lebesgue, a library which is given a set of nodes in 1D, and plots the Lebesgue function, and estimates the Lebesgue constant, which measures the maximum magnitude of the potential error of Lagrange polynomial interpolation.
  908. lebesgue_test
  909. legendre_exactness, a program which tests the monomial exactness of quadrature rules for the Legendre problem of integrating a function with density 1 over the interval [-1,+1].
  910. legendre_exactness_test
  911. legendre_polynomial, a library which evaluates the Legendre polynomial and associated functions.
  912. legendre_polynomial_test
  913. legendre_product, a library which computes weighted integrals of products of Legendre polynomials.
  914. legendre_product_test
  915. legendre_product_polynomial, a library which defines Legendre product polynomials, creating a multivariate polynomial as the product of univariate Legendre polynomials.
  916. legendre_product_polynomial_test
  917. legendre_rule, a program which writes out a Gauss-Legendre quadrature rule of given order.
  918. legendre_rule_test
  919. legendre_rule_fast, a program which uses a fast (order N) algorithm to compute a Gauss-Legendre quadrature rule of given order.
  920. legendre_rule_fast_test
  921. legendre_shifted_polynomial, a library which evaluates the shifted Legendre polynomial, with the domain [0,1].
  922. legendre_shifted_polynomial_test
  923. levels, a library which makes a contour plot, choosing the contour levels using random sampling.
  924. levels_test
  925. levenshtein, a library which returns the Levenshtein distance between two strings.
  926. levenshtein_test
  927. life, a program 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.
  928. life_test
  929. lights_out, a program which sets up the "Lights Out" game and allows a user to try to solve it.
  930. line_cvt_lloyd, a library which applies Lloyd's iteration repeatedly to a set of N points, to compute a Centroidal Voronoi Tessellation (CVT) over the interior of a line segment in 1D.
  931. line_cvt_lloyd_test
  932. line_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit line segment.
  933. line_distance_test
  934. line_fekete_rule, a library which estimates the location of N Fekete points, for polynomial interpolation or quadrature, over the interior of a line segment in 1D.
  935. line_fekete_rule_test
  936. line_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a line segment in 1D.
  937. line_felippa_rule_test
  938. line_grid, a library which computes a grid of points over the interior of a line segment in 1D.
  939. line_grid_test
  940. line_integrals, a library which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
  941. line_integrals_test
  942. line_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the length of the unit line in 1D.
  943. line_monte_carlo_test
  944. line_ncc_rule, a library which computes a Newton Cotes Closed (NCC) quadrature rule, using equally spaced points, over the interior of a line segment in 1D.
  945. line_ncc_rule_test
  946. line_nco_rule, a library which computes a Newton Cotes Open (NCO) quadrature rule, using equally spaced points, over the interior of a line segment in 1D.
  947. line_nco_rule_test
  948. linpack_bench, a program which is the linpack benchmark;
  949. linpack_bench_test
  950. linpack_bench_backslash, a program which is the linpack benchmark, using MATLAB's built-in backslash operator;
  951. linpack_bench_backslash_test
  952. linpack_d, a library which constitutes a linear algebra library for double precision real arithmetic; it includes a function for the singular value decomposition (SVD) of a rectangular matrix. The original version of this library is by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
  953. linpack_d_test
  954. linpack_z, a library which constitutes a linear algebra library for double precision complex arithmetic; it includes a function for the singular value decomposition (SVD) of a rectangular matrix. The original version of this library is by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
  955. linpack_z_test
  956. llsq, a library 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 a set of N data points.
  957. llsq_test
  958. lobatto_polynomial, a library which evaluates Lobatto polynomials similar to Legendre polynomials except that they are 0 at both endpoints.
  959. lobatto_polynomial_test
  960. local_min_rc, a library 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.
  961. local_min_rc_test
  962. log_normal, a library which returns quantities related to the log normal Probability Distribution Function (PDF).
  963. log_normal_test
  964. log_normal_truncated_ab, a library which returns quantities related to the log normal Probability Distribution Function (PDF) truncated to the interval [A,B].
  965. log_normal_truncated_ab_test
  966. lorenz_cluster_test
  967. lorenz_ode_test
  968. lorenz_simulation, a program which computes and displays solutions of the Lorenz equations for various initial conditions.
  969. luhn, a library which can compute the Luhn check digit for a string, or verify a string, as used for error detection in credit card numbers.
  970. luhn_test
  971. machar, a library which dynamically computes the values of various machine characteristic constants, by William Cody;
  972. machar_test
  973. machine, a library which returns tabulated values of the constants associated with computer arithmetic;
  974. machine_test
  975. mandelbrot, a program which generates an image of the Mandelbrot set;
  976. mandelbrot_test
  977. maple_area, a library which takes the list of pixels that form the boundary of the image of a maple leaf within a picture, and uses grid, Monte Carlo, and Quasi Monte Carlo (QMC) sampling to estimate the area of the leaf.
  978. maple_area_test
  979. maple_boundary, a library which reads an image of a maple leaf and extracts the list of pixels that form the boundary.
  980. maple_boundary_test
  981. mario, a program which creates a sort of "needlepoint" image of Mario, as an array of colored squares.
  982. mario_test
  983. matlab, programs which illustrate the use of MATLAB scripts and M-files;
  984. matlab_calls_c, programs which illustrate how C functions can be written, compiled, and called from MATLAB using the mex facility;
  985. matlab_calls_c++, programs which illustrate how C++ functions can be written, compiled, and called from MATLAB using the mex facility;
  986. matlab_calls_f77, programs which illustrate how FORTRAN77 functions can be written, compiled, and called from MATLAB using the mex facility;
  987. matlab_calls_f90, programs which illustrate how FORTRAN90 functions can be written, compiled, and called from MATLAB using the mex facility;
  988. matlab_commandline, programs which illustrate how MATLAB can be run from the UNIX command line, that is, not with the usual MATLAB command window.
  989. matlab_compiler, programs which illustrate the use of the Matlab compiler, which allows you to run a Matlab application outside the Matlab environment.
  990. matlab_condor, programs which illustrate how MATLAB can be run in batch mode using the condor queueing system.
  991. matlab_graphics, programs which demonstrate a few issues that arise when producing graphic images with MATLAB.
  992. matlab_kmeans, programs which illustrate the use of Matlab's kmeans() function for clustering N sets of M-dimensional data into K clusters.
  993. matlab_map, programs which illustrate the use of MATLAB's mapping toolbox to draw maps of the world, countries, the US, or individual states.
  994. matlab_mistake, programs which illustrate some simple but devious programming mistakes in MATLAB.
  995. matlab_movies, programs which illustrate making movies using MATLAB;
  996. matlab_os, programs which illustrate how the system command can be used to allow MATLAB to issue commands to the computer operating system (UNIX or DOS);
  997. matlab_random, programs which illustrate the use of Matlab's random number generator (RNG) routines.
  998. matlab_return, programs which illustrate that explicitly invoking the return statment can be surprisingly costly;
  999. matrix_analyze, a library which reports whether a matrix has various properties.
  1000. matrix_analyze_test
  1001. matrix_exponential, a library which demonstrates some simple approaches to the problem of computing the exponential of a matrix.
  1002. matrix_exponential_test
  1003. md, a program which carries out a molecular dynamics simulation, and is intended as a starting point for implementing a parallel version.
  1004. md_test
  1005. md_fast, a program which carries out a molecular dynamics simulation; it is a version of MD that has been revised to take advantage of MATLAB's vector abilities.
  1006. md_fast_test
  1007. memory_test
  1008. mesh_bandwidth, a program which returns the geometric bandwidth associated with a mesh of elements of any order and in a space of M dimensions.
  1009. mesh_bandwidth_test
  1010. mesh_display, a program which plots the nodes and elements of a polygonal mesh, with optional numbering.
  1011. mesh_display_test
  1012. mesh_etoe, a program which uses ETOV, the mesh element-to-vertex connectivity, to construct ETOE, the element-to-element connectivity.
  1013. mesh_etoe_test
  1014. mesh_vtoe, a program which uses ETOV, the mesh element-to-vertex connectivity, to construct VTOE, the vertex-to-element connectivity.
  1015. mesh_vtoe_test
  1016. mesh2d, a library which can automatically create a triangular mesh for a given polygonal region, by Darren Engwirda.
  1017. mesh2d_test
  1018. mesh2d_hand, a program which reads in a set of 59 points which outline a human hand, and calls mesh2d(), which is able to create a fine triangular mesh of the region outlined by the points.
  1019. mesh2d_write, a program which demonstrates how node and element data from mesh2d can be written to files.
  1020. mgmres, a library which applies the restarted Generalized Minimum Residual (GMRES) algorithm to solve a sparse linear system, using compressed row (CR) or sparse triplet (ST) format, by Lili Ju.
  1021. mgmres_test
  1022. mgs, a library which is a legacy code, which the student is encouraged to study, understand, and document. This example is due to Diane O'Leary.
  1023. mgs_test
  1024. mm_io, a library which reads and writes a Matrix Market (MM) Sparse Matrix File;
  1025. mm_io_test
  1026. mm_to_msm, a program which reads a Matrix Market (MM) sparse matrix file and creates a corresponding MATLAB sparse matrix data structure.
  1027. mm_to_msm_test
  1028. mm_to_st, a program which reads a Matrix Market (MM) sparse matrix file and writes a corresponding Sparse Triplet (ST) file.
  1029. mm_to_st_test
  1030. mnist_neural, a program which constructs a neural network in order to classify images of digits.
  1031. mnist_neural_test
  1032. monoalphabetic, a library which can apply a monoalphabetic substitution cipher to a string of text.
  1033. monoalphabetic_test
  1034. monomial, a library 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.
  1035. monomial_test
  1036. monomial_value, a library which evaluates a monomial in M dimensions.
  1037. monomial_value_test
  1038. monte_carlo_rule, a program which generates a dataset of N random M dimensional points, regards it as a quadrature rule for the unit hypercube, and writes out three files of information.
  1039. monte_carlo_rule_test
  1040. msm_to_mm, a program which writes a MATLAB sparse matrix to a Matrix Market (MM) file;
  1041. msm_to_mm_test
  1042. msm_to_st, a program which writes a MATLAB sparse matrix to a Sparse Triplet (ST) file;
  1043. msm_to_st_test
  1044. multigrid_poisson_1d, a library which applies the multigrid method to a discretized version of the 1D Poisson equation.
  1045. multigrid_poisson_1d_test
  1046. mxm, a program which sets up a matrix multiplication problem A=B*C of arbitrary size, and compares the time required for IJK, IKJ, JIK, JKI, KIJ and KJI orderings of the loops.
  1047. mxm_test
  1048. naca, a library which can take the parameters of certain NACA airfoils and return the coordinates of a sequence of points that outline the wing shape. The shape can be displayed with MATLAB graphics.
  1049. naca_test
  1050. nas, a program which runs the NASA kernel benchmark.
  1051. nas_test
  1052. navier_stokes_2d_exact, a library which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.
  1053. navier_stokes_2d_exact_test
  1054. navier_stokes_3d_exact, a library which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 3D.
  1055. navier_stokes_3d_exact_test
  1056. navier_stokes_mesh2d, data files which define meshes for several 2D test problems involving the Navier Stokes equations (NSE) for fluid flow, provided by Leo Rebholz.
  1057. navier_stokes_mesh2d_test
  1058. navier_stokes_mesh3d, data files which define meshes for several 3D test problems involving the Navier Stokes equations (NSE) for fluid flow, provided by Leo Rebholz.
  1059. navier_stokes_mesh3d_test
  1060. ncm, programs which accompany Cleve Moler's textbook "Numerical Computing with MATLAB".
  1061. nearest_interp_1d, a library which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.
  1062. nearest_interp_1d_test
  1063. neighbors_to_metis_graph, a program which reads a file describing the neighbor structure of a triangulation or tet mesh, and writes a metis graph file suitable for input to one of the family of programs based on metis.
  1064. neighbors_to_metis_graph_test
  1065. nelder_mead, a program which implements the Nelder-Mead algorithm for the minimization of a scalar function of several variables, by Jeff Borggaard.
  1066. nelder_mead_test
  1067. nested_sequence_display, a program which displays a set of nested sequences.
  1068. nested_sequence_display_test
  1069. netcdf_test
  1070. newton_interp_1d, a library which finds a polynomial interpolant to data using Newton divided differences.
  1071. newton_interp_1d_test
  1072. niederreiter2, a library which computes the Niederreiter M dimensional Quasi Mont Carlo (QMC) sequence, base 2;
  1073. niederreiter2_test
  1074. nint_exactness_mixed, a program which measures the polynomial exactness of an M dimensional quadrature rule based on a mixture of 1D quadrature rule factors.
  1075. nint_exactness_mixed_test
  1076. nintlib, a library which carries out approximate integration (quadrature) in M dimensions;
  1077. nintlib_test
  1078. normal, a library which implements normal random number generators (RNG) for real and complex arithmetic, for scalars, vectors, and matrices.
  1079. normal_test
  1080. normal01_multivariate_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from an isotropic standard normal distribution in M dimensions.
  1081. normal01_multivariate_distance_test
  1082. obj_display, a program which displays an OBJ 3D graphics file;
  1083. obj_display_test
  1084. obj_io, a library which reads and writes the data in an OBJ 3D graphics file;
  1085. obj_io_test
  1086. obj_to_tri_surface, a program which reads an OBJ 3D graphics file and extracts the surface mesh data as a TRI_SURFACE dataset.
  1087. obj_to_tri_surface_test
  1088. ode_sweep, a program which computes a grid of solutions to a parameterized system of ordinary differential equations (ODE's).
  1089. ode_sweep_test
  1090. ornstein_uhlenbeck, a library which approximates solutions of the Ornstein-Uhlenbeck stochastic ordinary differential equation (SODE) using the Euler method, the Euler-Maruyama method, and the Milstein method.
  1091. ornstein_uhlenbeck_test
  1092. outliers_test
  1093. optimal_control_1d, a MATLAB program which seeks the optimal control function for a 1-dimensional system which is represented using the finite element method (FEM);
  1094. optimal_control_1d_test
  1095. owen, a library which evaluates Owen's T function;
  1096. owen_test
  1097. padua, a library which returns the coordinates of the 2D Padua points, as well as interpolation weights or quadrature weights, and images of the points in MATLAB graphics files.
  1098. padua_test
  1099. pagerank, a library which illustrates the eigenvalue (power method) and surfer (Markov chain) approaches to ranking web pages.
  1100. pagerank_test
  1101. paraheat_gaussian, a MATLAB program which sets up and solves a parameterized steady heat equation in a 2D spatial domain, with a gaussian diffusivity.
  1102. paraheat_gaussian_test
  1103. paraheat_gaussian_plot, a MATLAB program which use radial basis functions (RBF) to reconstruct the finite element solution sampled by paraheat_gaussian().
  1104. paraheat_gaussian_sample, a MATLAB program which repeatedly calls paraheat_gaussian() to set up and solve a parameterized steady heat equation in a 2D spatial domain, with a gaussian diffusivity, saving values of the finite element solution at selected points, and writing the saved data to a file.
  1105. paraheat_pwc, a MATLAB library which can set up and solve a parameterized steady heat equation in a 2D spatial domain, using diffusivity parameterized by vc, and reporting solution values vs at selected sensor locations. Options allow for this function to be sampled at many parameter values, or for the finite element function to be reconstructed from the sensor values.
  1106. paraheat_pwc_test
  1107. paraheat_pwc_1d, a MATLAB program which sets up and solves a parameterized steady heat equation in a 1D spatial domain, with a piecewise constant diffusivity.
  1108. paraheat_pwc_1d_test
  1109. paraheat_pwc_plot, a MATLAB program which use radial basis functions (RBF) to reconstruct the finite element solution sampled by paraheat_pwc().
  1110. paraheat_pwc_sample, a MATLAB program which repeatedly calls paraheat_pwc() to set up and solve a parameterized steady heat equation in a 2D spatial domain, with a piecewise constant diffusivity, saving values of the finite element solution at selected points, and writing the saved data to a file.
  1111. partial_digest, a library which seeks solutions of the partial digest problem.
  1112. partial_digest_test
  1113. partition_problem, a library which seeks solutions of the partition problem, splitting a set of integers into two subsets with equal sum.
  1114. partition_problem_test
  1115. patterson_rule, a program 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.
  1116. patterson_rule_test
  1117. pbma_io, a library which reads or writes an ASCII Portable Bit Map (PBM) graphics file;
  1118. pbma_io_test
  1119. pce_ode_hermite, a program which sets up a scalar stochastic ordinary differential equation (SODE) for exponential decay with an uncertain decay rate, using a polynomial chaos expansion (PCE) in terms of Hermite polynomials.
  1120. pce_ode_hermite_test
  1121. pdepe_test
  1122. pdflib, a library which evaluates Probability Density Functions (PDF's) and produces random samples from them, including beta, binomial, chi, exponential, gamma, inverse chi, inverse gamma, multinomial, normal, scaled inverse chi, and uniform.
  1123. pdflib_test
  1124. peak_movie, a program which creates the pieces of an animation, one frame at a time. Each frame is independently created and saved as a JPEG file.
  1125. pendulum_ode, a library which looks at some simple topics involving the linear and nonlinear ordinary differential equations (ODEs) that represent the behavior of a pendulum of length L under a gravitational force of strength G.
  1126. pendulum_ode_test
  1127. pentominoes, a library which provides some utilities for manipulating pentominoes.
  1128. pentominoes_test
  1129. perceptron, a MATLAB program which demonstrates the calculation of a classifier of linearly separable data using the perceptron algorithm.
  1130. pgma_io, a library which reads or writes an ASCII Portable Gray Map (PGM) image file;
  1131. pgma_io_test
  1132. pi_spigot, a program which produces N digits of the decimal expansion of pi.
  1133. pi_spigot_test
  1134. pic, a program which uses the Particle In Cell (PIC) method to simulate the motion of electrically charged particles past a plate, and is intended as a starting point for implementing a parallel version.
  1135. pic_test
  1136. piecewise_linear_product_integral, a library which calculates the exact value of the integral of the product of two piecewise linear functions f(x) and g(x).
  1137. piecewise_linear_product_integral_test
  1138. pink_noise, a library which computes a pink noise signal obeying a 1/f power law.
  1139. pink_noise_test
  1140. plasma_matrix, a library which demonstrates how a large sparse MATLAB matrix can be written to or read from a Harwell-Boeing sparse matrix file.
  1141. plasma_matrix_test
  1142. poisson, a program which solves the Poisson equation in a rectangle, intended as the starting point for the creation of a parallel version.
  1143. poisson_test
  1144. poisson_simulation, a library which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.
  1145. poisson_simulation_test
  1146. polpak, a library which evaluates a variety of mathematical functions, including Chebyshev, Gegenbauer, Hermite, Jacobi, Laguerre, Legendre polynomials, and the Collatz sequence.
  1147. polpak_test
  1148. polygon_average, a library which demonstrates a process of repeatedly averaging and normalizing the vertices of a polygon, illustrating a property of the power method.
  1149. polygon_average_test
  1150. polygon_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of a polygon in 2D.
  1151. polygon_distance_test
  1152. polygon_grid, a library which generates a grid of points over the interior of a polygon in 2D.
  1153. polygon_grid_test
  1154. polygon_integrals, a library which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.
  1155. polygon_integrals_test
  1156. polygon_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the interior of a polygon in 2D.
  1157. polygon_monte_carlo_test
  1158. polygon_properties, a library 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.
  1159. polygon_properties_test
  1160. polygon_triangulate, a library which triangulates a (possibly nonconvex) polygon in 2D, based on a C program by Joseph ORourke;
  1161. polygon_triangulate_test
  1162. polygonal_surface_display, a program which displays a surface in 3D described as a set of polygons;
  1163. polygonal_surface_display_test
  1164. polynomial, a library which adds, multiplies, differentiates, evaluates and prints multivariate polynomials in a space of M dimensions.
  1165. polynomial_test
  1166. polynomials, a library which defines multivariate polynomials over rectangular domains, for which certain information is to be determined, such as the maximum and minimum values.
  1167. polynomials_test
  1168. polyomino_condense, a program which cleans up a matrix that represents a polyomino by setting all nonzero entries to 1, and removing initial and final rows and columns of zeros.
  1169. polyomino_condense_test
  1170. polyomino_embed, a library which is given matrices defining a region R and a polyomino P, and determines the number of possible embeddings of the polyomino into the region, and the translations necessary to achieve them.
  1171. polyomino_embed_test
  1172. polyomino_enumerate, a library which enumerates chiral, fixed and free polyominoes of moderate order.
  1173. polyomino_enumerate_test
  1174. polyomino_index, a library which is given a matrix defining a polyomino P, and determines a correspondingly shaped matrix which contains an index for each nonzero entry in P.
  1175. polyomino_index_test
  1176. polyomino_lp_write, a program which writes an LP file describing a (binary) integer programming problem related to the tiling of a region R by copies of polyomino shapes, with possible reflections and rotations.
  1177. polyomino_lp_write_test
  1178. polyomino_monohedral, a program which is given matrices defining a region R and a polyomino P, and seeks binary solutions x that represent possible tilings of the region R by the polyomino P.
  1179. polyomino_monohedral_test
  1180. polyomino_monohedral_example_reid, a program which sets up and solves the Reid example of a monohedral polyomino tiling problem, using copies of a single polyomino P to cover a region R.
  1181. polyomino_monohedral_example_reid_test
  1182. polyomino_monohedral_matrix, a program which is given matrices defining a region R and a polyomino P, and returns the linear system A*x=b that must be solved for binary solutions x, that represent possible tilings of the region R by the polyomino P.
  1183. polyomino_monohedral_matrix_test
  1184. polyomino_monohedral_tiling_plot, a library which is given matrices defining a region R and a polyomino P, and a vector X, computed by POLYOMINO_MONOHEDRAL, which represents a tiling of R by P, and creates a graphic plot representation of that tiling.
  1185. polyomino_monohedral_tiling_plot_test
  1186. polyomino_monohedral_tiling_print, a library which is given matrices defining a region R and a polyomino P, and a vector X, computed by POLYOMINO_MONOHEDRAL, which represents a tiling of R by P, and prints out a representation of that tiling.
  1187. polyomino_monohedral_tiling_print_test
  1188. polyomino_monohedral_variants, a program which computes the distinct variants of a polyomino under reflection and 90 degree rotations.
  1189. polyomino_monohedral_variants_test
  1190. polyomino_multihedral, a library which is given matrices defining a region R and a set of polyominoes P, and seeks binary solutions x that represent possible tilings of the region R by the polyominoes of P.
  1191. polyomino_multihedral_test
  1192. polyomino_multihedral_example_2x4_test
  1193. polyomino_multihedral_example_4x5_test
  1194. polyomino_multihedral_example_octomino, a program which sets up a problem in which an 8x8 square is to be tiled by 8 distinct octominoes.
  1195. polyomino_multihedral_example_octomino_test
  1196. polyomino_multihedral_example_pent18x30, a program which sets up a problem in which an 18x30 rectangle is to be tiled by 9 copies of each of the 12 distinct pentominoes, and plots a solution computed by GUROBI.
  1197. polyomino_multihedral_example_pentomino, a program which sets up a problem in which an 8x8 square with 2x2 hole is to be tiled by the 12 distinct pentominoes.
  1198. polyomino_multihedral_matrix, a library which is given matrices defining a region R and a set of several polyominoes P, and returns the linear system A*x=b that must be solved for binary solutions x, that represent possible tilings of the region R by the polyominoes in P.
  1199. polyomino_multihedral_matrix_test
  1200. polyomino_multihedral_tiling_plot, a library which is given matrices defining a region R and a set of polyominoes P, and a vector X, computed by POLYOMINO_MULTIHEDRAL, which represents a tiling of R by the elements of P, and creates a graphic plot representation of that tiling.
  1201. polyomino_multihedral_tiling_plot_test
  1202. polyomino_multihedral_tiling_print, a library which is given matrices defining a region R and a set of polyominoes P, and a vector X, computed by POLYOMINO_MULTIHEDRAL, which represent a tiling of R by the polyominoes in P. The task is to print out a representation of that tiling.
  1203. polyomino_multihedral_tiling_print_test
  1204. polyomino_multihedral_variants, a program which computes the distinct variants of one or more polyominoes under reflection and 90 degree rotations.
  1205. polyomino_multihedral_variants_test
  1206. polyomino_plot, a program which displays a region which has been tiled by polyominos.
  1207. polyomino_plot_test
  1208. polyomino_transform, a program which transforms the matrix representing a polyomino by reflection and rotation.
  1209. polyomino_transform_test
  1210. polyominoes, a library which defines, solves, and plots a variety of polyomino tiling problems, which are solved by a direct algebraic approach, instead of the more typical brute-force or backtracking methods.
  1211. polyominoes_print, a program which prints an array of polyominoes.
  1212. polyominoes_print_test
  1213. power_method, a library which carries out the power method for finding a dominant eigenvalue and its eigenvector.
  1214. power_method_test
  1215. power_rule, a program which constructs a power rule, that is, a product quadrature rule from identical 1D factor rules.
  1216. power_rule_test
  1217. ppma_io, a library which reads or writes an ASCII Portable Pixel Map (PPM) image file;
  1218. ppma_io_test
  1219. praxis, a library which minimizes a scalar function of several variables, without requiring derivative information, by Richard Brent.
  1220. praxis_test
  1221. predator_prey_ode, a program which solves a time-dependent predator-prey system of ordinary differential equations (ODE's) using MATLAB's ode23() function.
  1222. predator_prey_ode_test
  1223. prime, a program which counts the number of primes between 1 and N, and is intended as a starting point for a parallel version.
  1224. prime_test
  1225. prime_plot, a program which displays a box plot of the prime and composite numbers.
  1226. prime_plot_test
  1227. prob, a library which evaluates, samples, inverts, and characterizes a number of Probability Density Functions (PDF's) and Cumulative Density Functions (CDF's), 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.
  1228. prob_test
  1229. product_rule, a program which creates an M dimensional quadrature rule from a product of distinct 1d quadrature rules;
  1230. product_rule_test
  1231. profile_test
  1232. puzzles, programs which solve simple puzzles;
  1233. pwc_plot_1d, a library which converts the definition of a piecewise constant function of a 1D argument into plottable data.
  1234. pwc_plot_1d_test
  1235. pwc_plot_2d, a library which converts the definition of a piecewise constant function of a 2D argument into plottable data.
  1236. pwc_plot_2d_test
  1237. pwl_approx_1d, a library which approximates a set of data using a piecewise linear function.
  1238. pwl_approx_1d_test
  1239. pwl_interp_1d, a library which interpolates a set of data using a piecewise linear function.
  1240. pwl_interp_1d_test
  1241. pwl_interp_2d, a library which evaluates a piecewise linear interpolant to data defined on a regular 2D grid.
  1242. pwl_interp_2d_test
  1243. pwl_interp_2d_scattered, a library which evaluates a piecewise linear interpolant to data which is available at an irregularly arranged set of points.
  1244. pwl_interp_2d_scattered_test
  1245. pyramid_exactness, a program which investigates the polynomial exactness of a quadrature rule over the interior of the unit pyramid in 3D.
  1246. pyramid_exactness_test
  1247. pyramid_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a pyramid in 3D.
  1248. pyramid_felippa_rule_test
  1249. pyramid_grid, a library which computes a grid of points over the interior of the unit pyramid in 3D;
  1250. pyramid_grid_test
  1251. pyramid_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.
  1252. pyramid_integrals_test
  1253. pyramid_monte_carlo, a library which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3D;
  1254. pyramid_monte_carlo_test
  1255. pyramid_rule, a program which computes a quadrature rule over the interior of the unit pyramid in 3D.
  1256. pyramid_rule_test
  1257. qr_solve, a library which computes the linear least squares (LLS) solution of a system A*x=b using the QR factorization.
  1258. qr_solve_test
  1259. quad_mesh, a library which handles meshes of quadrilaterals over a 2D region;
  1260. quad_mesh_test
  1261. quad_mesh_order1_display, a program which plots piecewise constant data associated with a mesh of quadrilaterals;
  1262. quad_mesh_order1_display_test
  1263. quad_mesh_rcm, a program which computes the Reverse Cuthill-McKee (RCM) reordering for nodes in a mesh of 4-node quadrilaterals.
  1264. quad_mesh_rcm_test
  1265. quad, a program which applies a quadrature rule to estimate an integral, intended as a starting point for parallelization exercises.
  1266. quad_test
  1267. quad_surface_display, a program which plots piecewise bilinear data associated with a quad_surface, that is, a 3D surface defined by a quadrilateral mesh;
  1268. quad_surface_display_test
  1269. quad2d_test
  1270. quadmom, a library 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).
  1271. quadmom_test
  1272. quadprog_test
  1273. quadrature_golub_welsch, a library which computes the points and weights of a Gaussian quadrature rule using the Golub-Welsch procedure.
  1274. quadrature_golub_welsch_test
  1275. quadrature_least_squares, a library 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.
  1276. quadrature_least_squares_test
  1277. quadrature_test
  1278. quadrature_2d_test
  1279. quadrature_weights_vandermonde, a library which computes the weights of a quadrature rule using the Vandermonde matrix, assuming that the points have been specified.
  1280. quadrature_weights_vandermonde_test
  1281. quadrature_weights_vandermonde_2d, a library which computes the weights of a 2D quadrature rule using the Vandermonde matrix, assuming that the points have been specified.
  1282. quadrature_weights_vandermonde_2d_test
  1283. quadrule, a library which defines quadrature rules for approximating an integral;
  1284. quadrule_test
  1285. quadrule_fast, a library which rapidly defines certain quadrature rules for approximating an integral;
  1286. quadrule_fast_test
  1287. quality, a library which measures the dispersion of pointsets in M dimensions;
  1288. quality_test
  1289. quaternions, a library which carries out some simple arithmetic operations for quaternions.
  1290. quaternions_test
  1291. r8_scale, a library which computes the "next" and "previous" real numbers.
  1292. r8_scale_test
  1293. r8col, a library which contains utility routines for R8COL's, that is, double precision real MxN arrays, 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.
  1294. r8col_test
  1295. r8ge, a library which contains linear algebra routines for R8GE matrices (real, 64 bit, General format).
  1296. r8ge_test
  1297. r8lib, a library which contains many utility routines, using double precision real (R8) arithmetic.
  1298. r8lib_test
  1299. r8poly, a library which contains a number of utilities for polynomials with R8 coefficients, that is, using double precision or 64 bit real arithmetic.
  1300. r8poly_test
  1301. r8row, a library which contains utility routines for R8ROW's, that is, double precision real MxN arrays, 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.
  1302. r8row_test
  1303. random_data, a library which uses a random number generator (RNG) to sample points distributed according to various probability density functions (PDF's), spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.
  1304. random_data_test
  1305. random_sorted, a library which generates vectors of random values which are already sorted.
  1306. random_sorted_test
  1307. random_walk_1d_simulation, a program which simulates a random walk in a 1-dimensional region.
  1308. random_walk_1d_simulation_test
  1309. random_walk_2d_avoid_simulation, a program which simulates a self-avoiding random walk in a 2-dimensional region.
  1310. random_walk_2d_avoid_simulation_test
  1311. random_walk_2d_simulation, a program which simulates a random walk in a 2-dimensional region.
  1312. random_walk_2d_simulation_test
  1313. random_walk_3d_simulation, a program which simulates a random walk in a 3-dimensional region.
  1314. random_walk_3d_simulation_test
  1315. ranlib, a library which produces random samples from Probability Density Functions (PDF's), 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.
  1316. ranlib_test
  1317. rbf_interp_1d, a library which defines and evaluates radial basis function (RBF) interpolants to 1D data.
  1318. rbf_interp_1d_test
  1319. rbf_interp_2d, a library which defines radial basis function (RBF) interpolants to 2D data.
  1320. rbf_interp_2d_test
  1321. rbf_interp_nd, a library which defines and evaluates radial basis function (RBF) interpolants to M dimensional data.
  1322. rbf_interp_nd_test
  1323. rcm, a library which applies the Reverse Cuthill McKee (RCM) algorithm for reordering the nodes of a graph, and reducing the bandwidth of a corresponding sparse matrix;
  1324. rcm_test
  1325. reactor simulation, a program 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 program was provided as an example with the book "Numerical Methods and Software."
  1326. readtable_test
  1327. rejection_sample, a library which demonstrates acceptance/rejection sampling.
  1328. rejection_sample_test
  1329. ring_data, a library which can create, plot, or save data generated by sampling a number of concentric, possibly overlapping rings.
  1330. ring_data_test
  1331. rk4, a library which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE) at the next time step.
  1332. rk4_test
  1333. rkf45, a library which applies a Runge-Kutta-Fehlberg (RKF) solver to a system of ordinary differential equations (ODE's);
  1334. rkf45_test
  1335. rnglib, a library which implements a random number generator (RNG) with splitting facilities, allowing multiple independent streams to be computed, by L'Ecuyer and Cote.
  1336. rnglib_test
  1337. root_rc, a library which seeks a solution of a scalar nonlinear equation f(x)=0, using reverse communication (RC), by Gaston Gonnet.
  1338. root_rc_test
  1339. roots_rc, a library which seeks solutions of a system of nonlinear equations, using reverse communication (RC), by Gaston Gonnet.
  1340. roots_rc_test
  1341. rot13, a library which can encipher a string using the ROT13 cipher for letters, and the ROT5 cipher for digits.
  1342. rot13_test
  1343. roulette_simulation, a library which simulates the spinning of a roulette wheel and the evaluation of certain common roulette bets.
  1344. roulette_simulation_test
  1345. row_echelon_integer, a library which carries out the exact computation of the integer row echelon form (IREF) and integer reduced row echelon form (IRREF) of an integer matrix.
  1346. row_echelon_integer_test
  1347. rref_test
  1348. sammon_data, a program which generates six M dimensional datasets for cluster analysis.
  1349. sammon_data_test
  1350. satisfy_test
  1351. scip_solution_read, a program which reads a file created by the integer programming package SCIP, representing the solution of a polyomino tiling problem, and writes out a simple ASCII file that can be read by load().
  1352. scip_solution_read_test
  1353. sde, a library which illustrates properties of stochastic differential equations (SODE's), and common algorithms for their analysis, by Desmond Higham;
  1354. sde_test
  1355. search_test
  1356. sequence_streak_display, a program which displays a streak plot of a numeric sequence;
  1357. sequence_streak_display_test
  1358. set_theory, a library which demonstrates MATLAB commands that implement various set theoretic operations.
  1359. set_theory_test
  1360. sftpack, a library which implements the slow Fourier transform (SFT), intended as a teaching tool and comparison with the Fast Fourier Transform (FFT).
  1361. sftpack_test
  1362. shallow_water_1d, a program which simulates the evolution of a 1D fluid governed by the time-dependent shallow water equations.
  1363. shallow_water_1d_test
  1364. shallow_water_1d_display, a program which can display a solution of the shallow water equations in 1D, generally as computed by the program shallow_water_1d.
  1365. shallow_water_1d_display_test
  1366. shepard_interp_1d, a library which defines and evaluates Shepard interpolants to 1D data, based on inverse distance weighting.
  1367. shepard_interp_1d_test
  1368. shepard_interp_2d, a library which defines and evaluates Shepard interpolants to 2D data, based on inverse distance weighting.
  1369. shepard_interp_2d_test
  1370. shepard_interp_nd, a library which defines and evaluates Shepard interpolants to M dimensional data, based on inverse distance weighting.
  1371. shepard_interp_nd_test
  1372. shoreline, a program which tries to identify and triangulate the 2D domain over which some function f(x,y) is nonnegative.
  1373. shoreline_test
  1374. side_by_side_display_test
  1375. simplex_coordinates, a library which computes the Cartesian coordinates of the vertices of a regular simplex in M dimensions.
  1376. simplex_coordinates_test
  1377. simplex_gm_rule, a library 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.
  1378. simplex_gm_rule_test
  1379. simplex_grid, a library which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.
  1380. simplex_grid_test
  1381. simplex_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
  1382. simplex_integrals_test
  1383. simplex_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of the unit simplex in M dimensions.
  1384. simplex_monte_carlo_test
  1385. sine_transform, a library which demonstrates simple properties of the discrete sine transform (DST).
  1386. sine_transform_test
  1387. single_linkage_test
  1388. sir, a program which simulates the spread of a disease using the Susceptible/Infected/Recovered (SIR) model.
  1389. sir_test
  1390. sir_simulation, a program which simulates the spread of a disease through a hospital room of M by N beds, using the Susceptible/Infected/Recovered (SIR) model.
  1391. sir_simulation_test
  1392. smolyak_display, a program which displays the exactness diagram for a 2D Smolyak sparse grid, by displaying and summing the exactness diagrams for the component product rules.
  1393. smolyak_display_test
  1394. snakes_and_ladders, a program which simulates a one-player version of the game of Snakes and Ladders, by Mina Aymin.
  1395. snakes_bar, a library which produces bar charts of the count, PDF and CDF estimates for the length of a one-player game of Snakes and Ladders, produced by simulating N games.
  1396. snakes_bar_test
  1397. snakes_histogram, a library which produces histograms of the count, PDF and CDF estimates for the length of a one-player game of Snakes and Ladders, produced by simulating N games.
  1398. snakes_histogram_test
  1399. snakes_matrix, a program which returns the transition matrix for the game of Snakes and Ladders.
  1400. snakes_probability, a program which computes the game length probabilities for the game of Snakes and Ladders, by Desmond Higham and Nicholas Higham.
  1401. sobol, a library which generates elements of the Sobol M dimensional Quasi Mont Carlo (QMC) sequence, by Bennett Fox.
  1402. sobol_test
  1403. solve, a library which demonstrates how Gauss elimination can be used to solve a linear system A*x=b.
  1404. solve_test
  1405. sor, a library which implements a simple version of the successive over-relaxation (SOR) method for the iteration solution of a linear system of equations.
  1406. sor_test
  1407. sort_rc, a library which can sort a list of any kind of objects, using reverse communication (RC).
  1408. sort_rc_test
  1409. sort_test
  1410. sparse_count, a library which is for the analysis and creation of sparse grids in which a single family of 1D quadrature rules is used for all spatial dimensions, for various growth rules.
  1411. sparse_count_test
  1412. sparse_display, a library which can read information defining a matrix of numbers and display the sparsity pattern or location of the nonzero elements using gnuplot. This operation is already available in the built-in MATLAB "spy" command.
  1413. sparse_display_test
  1414. sparse_grid_cc, a library which creates sparse grids based on Clenshaw-Curtis quadrature rules.
  1415. sparse_grid_cc_test
  1416. sparse_grid_composite, a library which creates sparse grids based on 1D composite rules (currently only of order 1).
  1417. sparse_grid_composite_test
  1418. sparse_grid_gl, a library which creates sparse grids based on Gauss-Legendre rules.
  1419. sparse_grid_gl_test
  1420. sparse_grid_hermite, a library which creates sparse grids based on Gauss-Hermite rules.
  1421. sparse_grid_hermite_test
  1422. sparse_grid_hw, a library 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.
  1423. sparse_grid_hw_test
  1424. sparse_grid_laguerre, a library which creates sparse grids based on Gauss-Laguerre rules.
  1425. sparse_grid_laguerre_test
  1426. sparse_grid_total_poly, a library which investigates the efficient approximation of all polynomials up to a given total degree using sparse grids.
  1427. sparse_grid_total_poly_test
  1428. sparse_interp_nd, a library which can be used to define a sparse interpolant to a function f(x) of a M dimensional argument.
  1429. sparse_interp_nd_test
  1430. sparse_test
  1431. sphere_cubed_grid, a library which uses the projection of a cube to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
  1432. sphere_cubed_grid_test
  1433. sphere_cvt, a program which carries out the Centroidal Voronoi Tessellation (CVT) iteration on the surface of the unit sphere in 3D.
  1434. sphere_cvt_test
  1435. sphere_delaunay, a program which computes the Delaunay triangulation of points on the surface of the unit sphere in 3D.
  1436. sphere_delaunay_test
  1437. sphere_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the surface of the unit sphere in 3D.
  1438. sphere_distance_test
  1439. sphere_exactness, a program which tests the polynomial exactness of a quadrature rule on the surface of the unit sphere in 3D.
  1440. sphere_exactness_test
  1441. sphere_fibonacci_grid, a library which uses a Fibonacci spiral to create a grid of points on the surface of the unit sphere in 3D.
  1442. sphere_fibonacci_grid_test
  1443. sphere_grid, a library which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3D.
  1444. sphere_grid_test
  1445. sphere_integrals, a library which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.
  1446. sphere_integrals_test
  1447. sphere_lebedev_rule, a library which computes Lebedev quadrature rules on the surface of the unit sphere in 3D.
  1448. sphere_lebedev_rule_test
  1449. sphere_lebedev_rule_display, a program which reads a file defining a Lebedev quadrature rule on the surface of the unit sphere in 3D and displays the point locations.
  1450. sphere_lebedev_rule_display_test
  1451. sphere_llq_grid, a library which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
  1452. sphere_llq_grid_test
  1453. sphere_llt_grid, a library which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3D.
  1454. sphere_llt_grid_test
  1455. sphere_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in 3D.
  1456. sphere_monte_carlo_test
  1457. sphere_stereograph, a library 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.
  1458. sphere_stereograph_test
  1459. sphere_stereograph_display, a library which computes and displays the results of several stereographic projections between points on the surface of the unit sphere in 3D and a plane.
  1460. sphere_stereograph_display_test
  1461. sphere_triangle_monte_carlo, a library which used the Monte Carlo method to estimate the integral of a function defined in a triangle on the surface of the unit sphere in 3D.
  1462. sphere_triangle_monte_carlo_test
  1463. sphere_triangle_quad, a library which uses quadrature to estimate the integral of a function in a spherical triangle on the surface of the unit sphere in 3D.
  1464. sphere_triangle_quad_test
  1465. sphere_voronoi, a program which computes the Voronoi diagram of points on the surface of the unit sphere in 3D.
  1466. sphere_voronoi_test
  1467. spherical_harmonic, a library which evaluates spherical harmonic functions.
  1468. spherical_harmonic_test
  1469. spinterp, a library which carries out piecewise multilinear hierarchical sparse grid interpolation, quadrature and optimization, by Andreas Klimke; an earlier version of this software is ACM TOMS Algorithm 847.
  1470. spinterp_test
  1471. spiral_data, a program which computes a velocity vector field that satisfies the continuity equation, writing the data to a file that can be plotted by gnuplot.
  1472. spiral_data_test
  1473. spline, a library which interpolates and approximates via splines;
  1474. spline_test
  1475. spquad, a library which computes the points and weights of a sparse grid quadrature rule for an M dimensional integral, based on the Clenshaw-Curtis quadrature rule, by Greg von Winckel.
  1476. spquad_test
  1477. spring_ode, a program which shows how line printer graphics can be used to make a crude illustration of a solution of the ordinary differential equation (ODE) that describes the motion of a weight attached to a spring.
  1478. square_arbq_rule, a library 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.
  1479. square_arbq_rule_test
  1480. square_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of the unit square in 2D.
  1481. square_distance_test
  1482. square_exactness, a library which investigates the polynomial exactness of quadrature rules for f(x,y) over the interior of a rectangle in 2D.
  1483. square_exactness_test
  1484. square_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a square in 2D.
  1485. square_felippa_rule_test
  1486. square_grid, a library which computes a grid of points over the interior of a square in 2D.
  1487. square_grid_test
  1488. square_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit square or symmetric unit square in 2D.
  1489. square_integrals_test
  1490. square_minimal_rule, a library 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.
  1491. square_minimal_rule_test
  1492. square_monte_carlo, a library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit square in 2D.
  1493. square_monte_carlo_test
  1494. square_symq_rule, a library 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.
  1495. square_symq_rule_test
  1496. st_io, a library which reads and writes sparse linear systems stored in the Sparse Triplet (ST) format.
  1497. st_io_test
  1498. st_to_cc, a library which converts sparse matrix data from Sparse Triplet (ST) format to Compressed Column (CC) format;
  1499. st_to_cc_test
  1500. st_to_mm, a program which converts a sparse matrix file from Sparse Triplet (ST) format to Matrix Market (MM) format;
  1501. st_to_mm_test
  1502. st_to_msm, a program which reads a Sparse Triplet (ST) file and creates a corresponding MATLAB Sparse Matrix.
  1503. st_to_msm_test
  1504. stla_display, a program which displays an ASCII stereolithography (STL) 3D graphics file;
  1505. stla_display_test
  1506. stla_io, a library which reads and writes an ASCII stereolithography (STL) 3D graphics file;
  1507. stla_io_test
  1508. stla_to_tri_surface, a program which reads an ASCII stereolithography (STL) 3D graphics file and extracts the surface mesh data as a tri_surface dataset.
  1509. stla_to_tri_surface_test
  1510. stla_to_tri_surface_fast, a program which is a faster version of stla_to_tri_surface.
  1511. stla_to_tri_surface_fast_test
  1512. stochastic_diffusion, functions which implement several versions of a stochastic diffusivity coefficient.
  1513. stochastic_diffusion_test
  1514. stochastic_heat2d, a program which implements a finite difference method (FDM) for the steady (time independent) 2D heat equation, with a stochastic heat diffusivity coefficient.
  1515. stochastic_heat2d_test
  1516. stochastic_rk, a library which applies a Runge-Kutta (RK) scheme to approximate the solution of a stochastic ordinary differential equation (SODE).
  1517. stochastic_rk_test
  1518. stokes_2d_exact, a library which evaluates exact solutions to the incompressible steady Stokes equations over the unit square in 2D.
  1519. stokes_2d_exact_test
  1520. string_simulation, a program which simulates the behavior of a vibrating string by solving the corresponding initial boundary value problem (IBVP).
  1521. stroud, a library 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.
  1522. stroud_test
  1523. subpak, a library which includes many utility routines;
  1524. subpak_test
  1525. subset, a library 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.
  1526. subset_test
  1527. subset_sum, a program which seeks solutions of the subset sum problem.
  1528. subset_sum_test
  1529. subset_sum_brute, a program which seeks solutions of the subset sum problem, using a brute force approach.
  1530. subset_sum_brute_test
  1531. sudoku, a library which handles Sudoku puzzles;
  1532. sudoku_test
  1533. superlu_test
  1534. surf_test
  1535. svd_basis, a program which applies the singular value decomposition (SVD) to a collection of data vectors, extracting dominant modes;
  1536. svd_basis_test
  1537. svd_circle, a MATLAB program which analyzes a linear map of the unit circle caused by an arbitrary 2x2 matrix A, using the singular value decomposition.
  1538. svd_circle_test
  1539. svd_faces, a MATLAB library which applies singular value decomposition (SVD) analysis to a set of images.
  1540. svd_faces_test
  1541. svd_fingerprint, a program which reads a file containing a fingerprint image and uses the singular value decomposition (SVD) to compute and display a series of low rank approximations to the image.
  1542. svd_fingerprint_test
  1543. svd_gray, a program which reads a gray scale image, computes the Singular Value Decomposition (SVD), and constructs a series of low rank approximations to the image.
  1544. svd_gray_test
  1545. svd_lls, a program which uses the singular value decomposition (SVD) to construct and plot the best affine and linear relationships in the sense of least square, between two vectors of data.
  1546. svd_lls_test
  1547. svd_powers, a MATLAB library which applies singular value decomposition (SVD) analysis to a set of powers x(i)^(j-1).
  1548. svd_powers_test
  1549. svd_snowfall, a program which reads a file containing historical snowfall data and analyzes the data with the Singular Value Decomposition (SVD).
  1550. svd_snowfall_test
  1551. svd_sphere, a program which analyzes a linear map of the unit sphere caused by an arbitrary 3x3 matrix A, using the singular value decomposition.
  1552. svd_sphere_test
  1553. svd_test
  1554. svd_truncated_test
  1555. table_io, a library which reads and writes a simple table file;
  1556. table_io_test
  1557. task_division, a library 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.
  1558. task_division_test
  1559. tensor_grid_display, a program which can display the grid points of a tensor product rule used for interpolation or quadrature, in 1D, 2D or 3D.
  1560. tensor_grid_display_test
  1561. test_approx, a library which implements test problems for approximation, provided as a set of (x,y) data.
  1562. test_approx_test
  1563. test_con, a library which implements test problems for numerical continuation.
  1564. test_con_test
  1565. test_eigen, a library which implements test matrices for eigenvalue analysis.
  1566. test_eigen_test
  1567. test_int, a library which implements test problems for approximate integration (quadrature) in one dimension.
  1568. test_int_test
  1569. test_int_2d, a library which implements test problems for approximate integration (quadrature) in two dimensions.
  1570. test_int_2d_test
  1571. test_interp, a library which defines test problems for interpolation, provided as a set of (x,y(x)) data.
  1572. test_interp_test
  1573. test_interp_1d, a library which defines test problems for interpolation of data y(x), which depends on a 1D argument.
  1574. test_interp_1d_test
  1575. test_interp_2d, a library which defines test problems for interpolation of data z(x,y), which depends on a 2D argument.
  1576. test_interp_2d_test
  1577. test_interp_fun, a library which defines test problems for interpolation which are available in functional form.
  1578. test_interp_fun_test
  1579. test_interp_nd, a library which defines test problems for interpolation of data z(x), depending on an M dimensional argument.
  1580. test_interp_nd_test
  1581. test_lls, a library which implements linear least squares (LLS) test problems of the form A*x=b.
  1582. test_lls_test
  1583. test_mat, a library which defines test matrices for which some of the determinant, eigenvalues, inverse, null vectors, P*L*U factorization or linear system solution are already known, including the Vandermonde and Wathen matrix.
  1584. test_mat_test
  1585. test_matrix_exponential, a library which defines a set of test cases for computing the matrix exponential.
  1586. test_matrix_exponential_test
  1587. test_min, a library which implements test problems for minimization of a scalar function of a scalar variable.
  1588. test_min_test
  1589. test_nearest, a library which tests the time complexity of various procedures for solving the nearest neighbor problem.
  1590. test_nearest_test
  1591. test_nint, a library which implements test problems for approximate integration (quadrature) in M dimensions.
  1592. test_nint_test
  1593. test_ode, a library which defines some sample ordinary differential equations (ODE's) for testing initial value problem solvers;
  1594. test_ode_test
  1595. test_opt, a library which implements test problems for optimization of a scalar function of several variables.
  1596. test_opt_test
  1597. test_opt_con, a library 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.
  1598. test_opt_con_test
  1599. test_optimization, a library which implements test problems for optimization of a scalar function of several variables, as described by Molga and Smutnicki.
  1600. test_optimization_test
  1601. test_partial_digest, a library which can generate example cases of the partial digest problem.
  1602. test_partial_digest_test
  1603. test_triangle_integrals, a library which defines tests involving the integration of an integrand function over some specific triangle, not necessarily the unit triangle.
  1604. test_triangle_integrals_test
  1605. test_triangulation, a library which defines test problems for triangulation;
  1606. test_triangulation_test
  1607. test_values, a library which returns selected values of some special functions;
  1608. test_values_test
  1609. test_zero, a library which defines some functions f(x) suitable for testing software that solves f(x)=0;
  1610. test_zero_test
  1611. tet_mesh, a library which works with tetrahedral meshes in 3D;
  1612. tet_mesh_test
  1613. tet_mesh_boundary, a program which reads information defining a tetrahedral mesh of points in 3D, and determines the triangular faces that form the boundary of the mesh; it writes out files containing the nodes and elements defining this TRI_SURFACE data.
  1614. tet_mesh_boundary_test
  1615. tet_mesh_display, a program which reads data defining a (small) tetrahedral mesh, and displays a wireframe image of the nodes and edges;
  1616. tet_mesh_display_test
  1617. tet_mesh_l2q, a program which reads information about a 4-node (linear) tetrahedral mesh and creates data defining a corresponding 10-node (quadratic) tetrahedral mesh;
  1618. tet_mesh_l2q_test
  1619. tet_mesh_q2l, a program which reads information about a 10-node (quadratic) tet mesh and creates data defining a corresponding 4-node (linear) tetrahedral mesh;
  1620. tet_mesh_q2l_test
  1621. tet_mesh_quad, a program which estimates the integral of a function over a region defined by a tetrahedral mesh.
  1622. tet_mesh_quad_test
  1623. tet_mesh_quality, a program which computes various quality measures for a tetrahedral mesh of a set of nodes in 3D;
  1624. tet_mesh_quality_test
  1625. tet_mesh_rcm, a program which computes the Reverse Cuthill McKee (RCM) reordering for the nodes of a tetrahedral mesh that uses 4-node or 10-node tetrahedrons;
  1626. tet_mesh_rcm_test
  1627. tet_mesh_refine, a program which refines a tetrahedral mesh;
  1628. tet_mesh_refine_test
  1629. tet_mesh_tet_neighbors, a program which reads information about a tetrahedral mesh and writes out a list of the tetrahedrons adjacent to a given tetrahedron;
  1630. tet_mesh_tet_neighbors_test
  1631. tet_mesh_to_gmsh, a program which write a Gmsh file describing a tetrahedral mesh;
  1632. tet_mesh_to_gmsh_test
  1633. tet_mesh_to_xml, a program which write an XML file describing a tetrahedral mesh;
  1634. tet_mesh_to_xml_test
  1635. tet_mesh_volumes, a program which computes the volume of each tetrahedron in a tetrahedral mesh;
  1636. tet_mesh_volumes_test
  1637. tetrahedron_arbq_rule, a library 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.
  1638. tetrahedron_arbq_rule_test
  1639. tetrahedron_exactness, a program which tests the polynomial exactness of a quadrature rule over the interior of a tetrahedron in 3D.
  1640. tetrahedron_exactness_test
  1641. tetrahedron_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a tetrahedron in 3D.
  1642. tetrahedron_felippa_rule_test
  1643. tetrahedron_grid, a library which computes a grid of points over the interior of a tetrahedron in 3D.
  1644. tetrahedron_grid_test
  1645. tetrahedron_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
  1646. tetrahedron_integrals_test
  1647. tetrahedron_keast_rule, a library which defines ten quadrature rules, of degree of exactness 0 through 8, over the interior of the tetrahedron in 3D.
  1648. tetrahedron_keast_rule_test
  1649. tetrahedron_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of a general tetrahedron in 3D.
  1650. tetrahedron_monte_carlo_test
  1651. tetrahedron_ncc_rule, a library which defines Newton-Cotes closed (NCC) quadrature rules over the interior of a tetrahedron in 3D.
  1652. tetrahedron_ncc_rule_test
  1653. tetrahedron_nco_rule, a library which defines Newton-Cotes open (NCO) quadrature rules over the interior of a tetrahedron in 3D.
  1654. tetrahedron_nco_rule_test
  1655. tetrahedron_properties, a program which computes properties, including the centroid, circumsphere, dihedral angles, edge lengths, face angles, face areas, insphere, quality, solid angles, and volume for a tetrahedron in 3D.
  1656. tetrahedron_properties_test
  1657. tetrahedron_slice_animate, a program which is given a tetrahedron and a vector, and displays an evenly spaced sequence of planes that intersect the tetrahedron and are normal to the vector.
  1658. tetrahedron_slice_display, a program which determines the intersection between a tetrahedron and a plane and displays the result.
  1659. tetrahedron_slice_display_test
  1660. tetrahedron01_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of the unit tetrahedron in 3D.
  1661. tetrahedron01_monte_carlo_test
  1662. theodolite, a library which presents the problem of estimating the location of an event which occurs in the sky, atmosphere, or the heavens, using nothing but the reported angle of observation from several stations; a nonlinear least squares (NLS) solver is needed.
  1663. theodolite_test
  1664. three_body_simulation, a program 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.
  1665. tic_toc_test
  1666. timer_test
  1667. timestamp, a library which prints the current YMDHMS date as a timestamp;
  1668. timestamp_test
  1669. toeplitz_cholesky, a library which computes the Cholesky factorization of a nonnegative definite symmetric Toeplitz matrix.
  1670. toeplitz_cholesky_test
  1671. toms097, a library which computes the distance between all pairs of nodes in a directed graph with weighted edges, using Floyd's algorithm. This is a version of ACM TOMS algorithm 97.
  1672. toms097_test
  1673. toms112, a library which determines whether a point is contained in a polygon, by Moshe Shimrat. This is a version of ACM TOMS algorithm 112.
  1674. toms112_test
  1675. toms178, a library which seeks the minimizer of a scalar function of several variables using the Hooke-Jeeves method, by Arthur Kaupe. This is a version of ACM TOMS algorithm 178.
  1676. toms178_test
  1677. toms179, a library which calculates the incomplete Beta ratio, by Oliver Ludwig. This is a version of ACM TOMS algorithm 179.
  1678. toms179_test
  1679. toms243, a library which evaluates the logarithm of a complex value, by David Collens. This is a version of ACM TOMS algorithm 243.
  1680. toms243_test
  1681. toms291, a library which approximates the logarithm of the Gamma function. This is a version of ACM TOMS algorithm 291.
  1682. toms291_test
  1683. toms443, a library which evaluates Lambert's W function. This is a version of ACM TOMS algorithm 443.
  1684. toms443_test
  1685. toms446, a library which manipulates Chebyshev series for interpolation and approximation, by Roger Broucke. This is a version of ACM TOMS algorithm 446.
  1686. toms446_test
  1687. toms462, a library which evaluates the upper right tail of the bivariate normal distribution; 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.
  1688. toms462_test
  1689. toms515, a library which can select subsets of size K from a set of size N, This is a version of ACM TOMS Algorithm 515, by Bill Buckles, Matthew Lybanon.
  1690. toms515_test
  1691. toms577, a library which evaluates Carlson's elliptic integral functions RC, RD, RF and RJ. This is a version of ACM TOMS algorithm 577.
  1692. toms577_test
  1693. toms655, a library which computes the weights for interpolatory quadrature rule; this library is commonly called IQPACK, by Sylvan Elhay and Jaroslav Kautsky. This is a version of ACM TOMS algorithm 655.
  1694. toms655_test
  1695. toms743, a library which evaluates Lambert's W function. This is a version of ACM TOMS algorithm 743, by Barry, Barry and Culligan-Hensley.
  1696. toms743_test
  1697. toms847, a library which carries out piecewise multilinear hierarchical sparse grid interpolation, commonly known as SPINTERP, by Andreas Klimke. This is a version of ACM TOMS Algorithm 847.
  1698. toms847_test
  1699. toms886, a library 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.
  1700. toms886_test
  1701. traffic_simulation, a program which simulates the cars waiting to get through a traffic light.
  1702. traffic_simulation_test
  1703. tri_surface_display, a program which displays a triangulated surface;
  1704. tri_surface_display_test
  1705. tri_surface_io, a library which reads and writes the 3D graphics information in a tri_surface file;
  1706. tri_surface_io_test
  1707. tri_surface_to_obj, a program which reads a tri_surface dataset and extracts the surface mesh data as an OBJ file.
  1708. tri_surface_to_obj_test
  1709. tri_surface_to_stla, a program which reads a tri_surface dataset and extracts the surface mesh data as an ASCII stereolithography (STL) file.
  1710. tri_surface_to_stla_test
  1711. triangle_analyze, a program which reads a triangle defined in a file, and uses the TRIANGLE_PROPERTIES library to compute angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality.
  1712. triangle_analyze_test
  1713. triangle_display, a program which displays the nodes and elements of a triangulation on the MATLAB graphics screen, assuming the data has been stored in NODE and ELE files by the triangle() program.
  1714. triangle_display_test
  1715. triangle_distance, a library which considers the problem of describing the typical value of the distance between a pair of points randomly selected from the interior of a triangle in 2D.
  1716. triangle_distance_test
  1717. triangle_dunavant_rule, a library which defines Dunavant quadrature rules over the interior of a triangle in 2D.
  1718. triangle_dunavant_rule_test
  1719. triangle_exactness, a program which tests the polynomial exactness of a quadrature rule over the interior of a triangle in 2D.
  1720. triangle_exactness_test
  1721. triangle_fekete_rule, a library which sets up one of seven Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.
  1722. triangle_fekete_rule_test
  1723. triangle_felippa_rule, a library which returns Felippa's quadratures rules for approximating integrals over the interior of a triangle in 2D.
  1724. triangle_felippa_rule_test
  1725. triangle_grid, a library which computes a grid of points over the interior of a triangle in 2D.
  1726. triangle_grid_test
  1727. triangle_histogram, a program which computes histograms of data over the interior of a unit triangle in 2D.
  1728. triangle_histogram_test
  1729. triangle_integrals, a library which returns the exact value of the integral of any polynomial over the interior of an arbitrary triangle in 2D.
  1730. triangle_integrals_test
  1731. triangle_interpolate, a library which shows how vertex data can be interpolated at any point in the interior of a triangle.
  1732. triangle_interpolate_test
  1733. triangle_io, a library which can read or write some of the files created by Jonathan Shewchuk's triangle program.
  1734. triangle_io_test
  1735. triangle_lyness_rule, a library which returns Lyness-Jespersen quadrature rules over the interior of a triangle in 2D;
  1736. triangle_lyness_rule_test
  1737. triangle_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of a general triangle in 2D.
  1738. triangle_monte_carlo_test
  1739. triangle_ncc_rule, a library which defines Newton-Cotes closed (NCC) quadrature rules over the interior of a triangle in 2D.
  1740. triangle_ncc_rule_test
  1741. triangle_nco_rule, a library which defines Newton-Cotes open (NCO) quadrature rules over the interior of a triangle in 2D.
  1742. triangle_nco_rule_test
  1743. triangle_properties, a program which computes properties, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality, of a triangle in 2D.
  1744. triangle_properties_test
  1745. triangle_svg, a library which uses Scalable Vector Graphics (SVG) to plot a triangle and any number of points, to illustrate quadrature rules and sampling techniques.
  1746. triangle_svg_test
  1747. triangle_symq_rule, a library 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.
  1748. triangle_symq_rule_test
  1749. triangle_to_fem, a program which reads the NODE and ELE files created by the triangle program to describe a triangular mesh, and writes a corresponding pair of node and element files in the 2D FEM format.
  1750. triangle_to_fem_test
  1751. triangle_to_xml, a program 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.
  1752. triangle_to_xml_test
  1753. triangle_twb_rule, a MATLAB library which generates the points and weights of quadrature rules over the interior of a triangle in 2D, determined by Taylor, Wingate, and Bos.
  1754. triangle_twb_rule_test
  1755. triangle_wandzura_rule, a library which returns quadrature rules of exactness 5, 10, 15, 20, 25 and 30 over the interior of the triangle in 2D.
  1756. triangle_wandzura_rule_test
  1757. triangle01_integrals, a library which returns the integral of any monomial over the interior of the unit triangle in 2D.
  1758. triangle01_integrals_test
  1759. triangle01_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of the unit triangle in 2D.
  1760. triangle01_monte_carlo_test-
  1761. triangulate, a program which triangulates a polygonal region, based on a C program by Joseph ORourke;
  1762. triangulate_test
  1763. triangulate_rectangle, a program which sets up a grid of triangles in a rectangular region.
  1764. triangulate_rectangle_test
  1765. triangulation, a library which computes the triangulation of a set 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.
  1766. triangulation_test
  1767. triangulation_boundary_edges, a program which reads data defining a triangulation, determines which edges lie on the boundary, organizes them into connected components, and writes this information to a file.
  1768. triangulation_boundary_edges_test
  1769. triangulation_boundary_nodes, a program which reads data defining a triangulation, determines which nodes lie on the boundary, and writes their coordinates to a file;
  1770. triangulation_boundary_nodes_test
  1771. triangulation_corner, a program which modifies triangulations in which one or more triangles have more than one boundary edge.
  1772. triangulation_corner_test
  1773. triangulation_delaunay_discrepancy, a program which measures the amount by which a triangulation fails the local Delaunay test;
  1774. triangulation_delaunay_discrepancy_test
  1775. triangulation_display, a program which displays the nodes and elements of a triangulation on the MATLAB graphics screen;
  1776. triangulation_display_test
  1777. triangulation_histogram, a program which computes histograms of data over a triangulation.
  1778. triangulation_histogram_test
  1779. triangulation_l2q, a program which reads information about a 3-node (linear) triangulation and creates data defining a corresponding 6-node (quadratic) triangulation;
  1780. triangulation_l2q_test
  1781. triangulation_mask, a program which reads a triangulation and calls a user-supplied routine to consider each triangle for deletion;
  1782. triangulation_mask_test
  1783. triangulation_node_to_element, a program which reads files describing a set of nodes, their triangulation, and the value of one or more quantities at each node, and outputs a file that averages the quantities for each element. This operation in effect creates an order1 finite element model of the data.
  1784. triangulation_node_to_element_test
  1785. triangulation_order1_display, a program which plots piecewise constant data associated with a triangulation;
  1786. triangulation_order1_display_test
  1787. triangulation_order3_contour, a program which plots color contours of a scalar quantity evaluated at the nodes of a 3-node triangle triangulation.
  1788. triangulation_order3_contour_test
  1789. triangulation_order6_contour, a program which plots color contours of a scalar quantity evaluated at the nodes of a 6-node triangle triangulation.
  1790. triangulation_order6_contour_test
  1791. triangulation_orient, a program which ensures that the triangles in an order 3 or order 6 triangulation have positive orientation;
  1792. triangulation_orient_test
  1793. triangulation_plot, a program which plots the nodes and elements of a triangulation as a PostScript file;
  1794. triangulation_plot_test
  1795. triangulation_q2l, a program which reads information about a 6-node triangulation and creates data defining a corresponding 3-node triangulation;
  1796. triangulation_q2l_test
  1797. triangulation_quad, a program 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.
  1798. triangulation_quad_test
  1799. triangulation_quality, a program which reads information about a triangulation and computes various quality measures;
  1800. triangulation_quality_test
  1801. triangulation_rcm, a program which computes the Reverse Cuthill McKee (RCM) reordering for the nodes of a triangulation that uses 3-node or 6-node triangles;
  1802. triangulation_rcm_test
  1803. triangulation_refine, a program which refines a triangulation;
  1804. triangulation_refine_test
  1805. triangulation_refine_local, a program which refines a triangulation locally; a single triangular element is replaced by four smaller triangles, and neighboring information is updated.
  1806. triangulation_refine_local_test
  1807. triangulation_svg, a program which creates an SVG image of a triangulation, which can be displayed by a web browser.
  1808. triangulation_svg_test
  1809. triangulation_t3_to_t4, a program which reads information about a 3-node T3 triangulation and creates data defining a corresponding 4-node T4 triangulation;
  1810. triangulation_t3_to_t4_test
  1811. triangulation_triangle_neighbors, a program which reads data defining a triangulation, finds the three neighbor triangles for each triangle, and writes them to a file;
  1812. triangulation_triangle_neighbors_test
  1813. truel_simulation, a program which simulates N repetitions of a duel between three players, each of whom has a known firing accuracy.
  1814. truel_simulation_test
  1815. truncated_normal, a library 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.
  1816. truncated_normal_test
  1817. truncated_normal_rule, a program 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].
  1818. truncated_normal_rule_test
  1819. truncated_normal_sparse_grid, a program which computes a sparse grid based on a normal probability density function (PDF), also called a Gaussian distribution, that has been truncated to [A,+oo), (-oo,B] or [A,B].
  1820. truncated_normal_sparse_grid_test
  1821. tsp_brute, a program which reads a file of city-to-city distances and solves a (small!) traveling salesperson problem (TSP), using brute force.
  1822. tsp_brute_test
  1823. tsp_descent, a program which reads a file of city-to-city distances, choose an initial tour at random, and then tries some simple variations to quickly find a tour of lower length.
  1824. tsp_descent_test
  1825. tsp_greedy, a program which reads a file of city-to-city distances, picks a starting city, and then successively visits the nearest unvisited city.
  1826. tsp_greedy_test
  1827. tsp_random, a program which reads a file of city-to-city distances, and then randomly samples a number of possible tours, to quickly seek a tour of lower length.
  1828. tsp_random_test
  1829. two_body_simulation, a program which simulates the behavior of two bodies, constrained to lie in a plane, moving under the influence of gravity, with one body much more massive than the other.
  1830. two_body_simulation_test
  1831. ubvec, a library which demonstrates how nonnegative integers can be stored as unsigned binary vectors, and arithmetic can be performed on them.
  1832. ubvec_test
  1833. unicycle, a library which considers permutations containing a single cycle, sometimes called cyclic permutations.
  1834. unicycle_test
  1835. uniform, a library which implements a uniform random number generator (RNG) for a variety of arithmetic types.
  1836. uniform_test
  1837. upc, is a library which can compute the check digit associated with a uniform product code (UPC), or it can report whether a 12-digit UPC is actually valid.
  1838. upc_test
  1839. urn_simulation, a program which simulates the experiment of sampling K balls from an urn containing N balls of various colors.
  1840. urn_simulation_test
  1841. usa_cvt_geo, programs which explore the creation of a centroidal Voronoi Tessellation (CVT) of the continental United States, based solely on geometric considerations.
  1842. usa_cvt_geo_test
  1843. van_der_corput, a library which computes elements of the van der Corput 1-dimensional Quasi Mont Carlo (QMC) sequence, using a simple interface.
  1844. van_der_corput_test
  1845. vandermonde, a library which implements the Bjork-Pereyra algorithm for accurate solution of linear systems involving the Vandermonde matrix.
  1846. vandermonde_test
  1847. vandermonde_approx_1d, a library 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.
  1848. vandermonde_approx_1d_test
  1849. vandermonde_approx_2d, a library 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.
  1850. vandermonde_approx_2d_test
  1851. vandermonde_interp_1d, a library which finds a polynomial interpolant to data y(x) of a 1D argument by solving a linear system for the polynomial coefficients involving the Vandermonde matrix.
  1852. vandermonde_interp_1d_test
  1853. vandermonde_interp_2d, a library which finds a polynomial interpolant to data z(x,y) of a 2D argument by solving a linear system for the polynomial coefficients involving the Vandermonde matrix.
  1854. vandermonde_interp_2d_test
  1855. voronoi_city, a program which displays the steps involved in computing the Voronoi diagram of 3 points, which we think of as cities connected by roads.
  1856. voronoi_city_test
  1857. voronoi_display, a program which computes the exact Voronoi diagram using geompack, and displays it.
  1858. voronoi_display_test
  1859. voronoi_mountains, a program which makes a mountain plot of a Voronoi diagram, that is, a surface plot of the distance from each point to its nearest Voronoi generator.
  1860. voronoi_mountains_test
  1861. voronoi_neighbors, a program which is given a set of points in the plane and determines the Voronoi adjacency structure, that is, which points share an edge of the Voronoi diagram.
  1862. voronoi_neighbors_test
  1863. voronoi_plot, a program which estimates the Voronoi neighborhoods of points using sampling, and with a distance based on the L1, L2, LInfinity or arbitrary LP norms;
  1864. voronoi_plot_test
  1865. voronoi_test
  1866. vpa_test
  1867. walker_sample, a library which efficiently samples a discrete probability vector using Walker sampling.
  1868. walker_sample_test
  1869. walsh, a library which implements versions of the Walsh and Haar transforms.
  1870. walsh_test
  1871. wathen, a library which compares storage schemes (full, banded, sparse triplet, sparse) and solution strategies (A\x, Linpack, conjugate gradient) for linear systems involving the Wathen matrix, which can arise when solving a problem using the finite element method (FEM).
  1872. wathen_test
  1873. wavelet, a library which does some simple wavelet calculations;
  1874. wavelet_test
  1875. wedge_exactness, a program which investigates the polynomial exactness of a quadrature rule over the interior of the unit wedge in 3D.
  1876. wedge_exactness_test
  1877. wedge_felippa_rule, a library which returns quadrature rules for approximating integrals over the interior of the unit wedge in 3D.
  1878. wedge_felippa_rule_test
  1879. wedge_grid, a library which computes a grid of points over the interior of the unit wedge in 3D.
  1880. wedge_grid_test
  1881. wedge_integrals, a library which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.
  1882. wedge_integrals_test
  1883. wedge_monte_carlo, a library which uses the Monte Carlo method to estimate an integral over the interior of the unit wedge in 3D.
  1884. wedge_monte_carlo_test
  1885. weekday, a library which determines the day of the week corresponding to a given date, such as 14 October 1066, Julian calendar, ... which was a Saturday.
  1886. weekday_test
  1887. will_you_be_alive, a library which contains the scripts used to carry out the probability simulations described in Paul Nahin's "Will You Be Alive 10 Years From Now?";
  1888. will_you_be_alive_test
  1889. wishart, a library which produces sample matrices from the Wishart or Bartlett distributions, useful for sampling random covariance matrices.
  1890. wishart_test
  1891. wtime, a library which returns a reading of the wall clock time in seconds.
  1892. wtime_test
  1893. xml2struct, a program which reads a file containing XML data, and produces a corresponding MATLAB struct.
  1894. xml2struct_test
  1895. zero_rc, a library which seeks a solution of a scalar nonlinear equation f(x)=0, using reverse communication (RC), by Richard Brent.
  1896. zero_rc_test
  1897. ziggurat, a library which implements uniform, normal and exponential random number generators (RNG's) using the ziggurat method, by Marsaglia and Tsang.
  1898. ziggurat_test
  1899. zombies, a library which uses a generalized Susceptible-Infected-Recovered (SIR) disease model to simulate a zombie attack, developed by Philip Munz.
  1900. zombies_test

Last revised on 09 May 2019.