Ref.

http://people.scs.fsu.edu/~burkardt/m_src/m_src.html

————

- tri_mesh_display, a program which displays a surface in 3D described as a mesh of triangles;
- tri_mesh_to_ply, a program which converts a TRI_MESH dataset to a dataset suitable for storage as a PLY file.

————

## MATLAB Source Codes

This is a collection of routines for use with MATLAB.

Available software includes:

- args, a program which shows how to count and report command line arguments;
- arpack, a library which computes eigenvalues and eigenvectors of large sparse matrices, accessible via the built-in
**EIGS**command; - asa005 a library which evaluates the lower tail of the noncentral Student’s T distribution; this is Applied Statistics Algorithm 5;
- asa006 a library which computes the Cholesky factor of a positive definite symmetric matrix; this is Applied Statistics Algorithm 6;
- asa007 a library which computes the inverse of a positive definite symmetric matrix; this is Applied Statistics Algorithm 7;
- asa032 a library which evaluates the incomplete Gamma function; this is Applied Statistics Algorithm 32;
- asa047 a library which minimizes a scalar function of several variables using the Nelder-Mead algorithm; this is Applied Statistics Algorithm 47;
- asa058 a library which carries out clustering of data; this is Applied Statistics Algorithm 58;
- asa063 a library which evaluates the incomplete Beta function; this is Applied Statistics Algorithm 63;
- asa066 a library which computes the cumulative density function of the standard normal distribution; this is Applied Statistics Algorithm 66;
- asa076 a library which evaluates Owen’s T function; this is Applied Statistics Algorithm 76;
- asa091, a library which computes the percentage points of the Chi-square distribution; this is Applied Statistics Algorithm 91;
- asa103, a library which evaluates the digamma or psi function; this is Applied Statistics Algorithm 103;
- asa109 a library which inverts the incomplete Beta function; this is Applied Statistics Algorithm 109;
- asa111 a library which evaluates the percentage points of the normal distribution; this is Applied Statistics Algorithm 111;
- asa113 a library which clusters data using the Banfield and Bassill transfer and swap algorithm; this is Applied Statistics Algorithm 113;
- asa121, a library which evaluates the trigamma function; this is Applied Statistics Algorithm 121;
- asa136 a library which clusters data using the Hartigan and Wong algorithm; this is Applied Statistics Algorithm 136;
- asa144 a library which randomly generates tables with given row and column sums; this is Applied Statistics Algorithm 144;
- asa147 a library which evaluates the incomplete Gamma function; this is Applied Statistics Algorithm 147;
- asa152, a library which evaluates point and cumulative probabilities associated with the hypergeometric distribution; this is Applied Statistics Algorithm 152;
- asa183, a library which implements the Wichman-Hill pseudorandom number generator; this is Applied Statistics Algorithm 183;
- asa226 a library which evaluates the noncentral incomplete Beta function; this is Applied Statistics Algorithm 226;
- asa239 a library which evaluates the incomplete Gamma function; this is Applied Statistics Algorithm 239;
- asa241, a library which computes the inverse of the normal CDF; this is Applied Statistics Algorithm 241;
- asa243 a library which evaluates the lower tail of the noncentral Student’s T distribution; this is Applied Statistics Algorithm 243;
- asa245 a library which evaluates the logarithm of the Gamma function; this is Applied Statistics Algorithm 245;
- asa299, a library which computes the lattice points (integer coordinates) in an M-dimensional simplex; this is Applied Statistics Algorithm 299;
- asa310 a library which evaluates the noncentral incomplete Beta function; this is Applied Statistics Algorithm 310;
- beta_nc, a library which evaluates the CDF of the noncentral Beta distribution;
- bezier_surface, a library which reads, writes, prints and manipulates the data that defines a Bezier surface;
- bezier_surface_display, a program which displays a Bezier surface;
- black_scholes, a library which implements some simple approaches to the Black-Scholes option valuation theory;
- blas1, a library which implements the Basic Linear Algebra Subprograms, level 1;
- blas1_c, a library which implements the Level 1 Basic Linear Algebra Subprograms, using single precision complex arithmetic;
- blas1_d, a library which implements the Level 1 Basic Linear Algebra Subprograms, using double precision real arithmetic;
- blas1_s, a library which implements the Level 1 Basic Linear Algebra Subprograms, using single precision real arithmetic;
- blas1_z, a library which implements the Level 1 Basic Linear Algebra Subprograms, using double precision complex arithmetic;
- box_plot, a program which displays a box plot of data that consists of pairs of integers;
- brent a library which contains Richard Brent’s routines for finding zeroes or minima of functions, without the use of derivative information.
- cavity_flow_display, a library which displays a single velocity field solution for the driven cavity;
- cavity_flow_movie, a library which animates the velocity solutions for the driven cavity;
- cc_display, a program which displays the points used in a 2D Clenshaw-Curtis quadrature rule;
- ccvt_box, a program which calculates a constrained CVT for points constrained to lie in a box, with some points moved to the boundary;
- ccvt_reflect, a program which calculates a constrained CVT for points constrained to lie in a box, with some points « pushed » towards the boundary;
- cg_lab_triangles, a collection of programs associated with a computer lab assignment on computational geometry and triangles;
- chebyshev1_rule, a program which computes and writes out a Gauss-Chebyshev type 1 quadrature rule of given order.
- chebyshev2_rule, a program which computes and writes out a Gauss-Chebyshev type 2 quadrature rule of given order.
- chrpak, a library which manipulates characters and strings;
- claw_pix, a library which visualizes the output of of the 1D version of CLAWPACK;
- clawpack_plot, a library which visualizes the output of of CLAWPACK;
- clenshaw_curtis, a library which implements Clenshaw Curtis and Fejer quadrature;
- collatz, a library which computes and analyzes the Collatz sequence (or « hailstone » sequence or « 3n+1 sequence »);
- contour_sequence, a program which creates images suitable for animation from a sequence of (X,Y,U(X,Y)) data files;
- contour_sequence3, a program which creates images suitable for animation from one pair of X, Y files, and a sequence of U(X,Y) data files;
- contour_sequence4, a program which creates images suitable for animation from one XY file and a sequence of U(X,Y) data files;
- coordinate_search, a program which implements the coordinate search algorithm for the minimization of a scalar function of several variables.
- cordic, a library which computes a few special functions using the CORDIC algorithm.
- cvt, a library which computes an N-point Centroidal Voronoi Tesselation in M dimensions;
- cvt_1d_nonuniform, a program which computes an N-point Centroidal Voronoi Tesselation in 1 dimension, under a nonuniform density, and plots the evolution of the locations of the generators during the iteration;
- cvt_dataset a program which creates a CVT dataset;
- cvt_demo, a program which interactively, graphically demonstrates a CVT calculation;
- cvt_metric, a program which computes a CVT under a spatially varying metric;
- cvt_movie, a program which creates an animation of the evolution of a CVT;
- cvt_movie2, a program which creates a CVT movie;
- cvt_movie3, a program which creates a CVT movie in a region of unusual shape;
- cvt_movie4, a program which creates a CVT movie in a square, with a density function that drives points to the corners;
- cvt_movie5, a program which repeats
**cvt_movie3**, but with hexagonal grid initialization, fixed points, and boundary projection; - direction_arrows, a program which reads coordinate data from one file, velocity data from another file, and makes an arrow plot of the direction field.
- direction_arrows_grid, a program which reads velocity data at « scattered » points, and makes a direction vector plot on a uniform grid of user-specified density.
- direction_arrows_sequence, a program which reads a fixed coordinate file, and a sequence of velocity data files and makes a sequence of velocity direction arrow plots.
- direction_arrows_sequence2, a program which reads a sequence of coordinate and velocity data and makes a sequence of velocity direction arrow plots.
- direction_arrows2, a program which reads coordinate and velocity data from a single file and makes an arrow plot of the direction field.
- dist_plot, a program which makes contour plots of the distance function, as defined and used in Persson and Strang’s distmesh code;
- distmesh, a library which carries out Persson and Strang’s method of mesh generation;
- distmesh_3d, a library which constitutes the 3D subset of Persson and Strang’s distmesh code;
- divdif, a library which constructs, evaluates and manipulates divided difference tables;
- dunavant, a library which defines Dunavant quadrature rules in a triangle;
- entrust, a library which uses trust-region methods to solve problems in scalar optimization or nonlinear least squares, by Borggaard and Cliff.
- faure, a library which computes the Faure M-dimensional quasirandom sequence;
- fd1d, a program which implements a finite difference algorithm for a 1D predator-prey system;
- fd1d_heat, a program which implements a finite difference solution of the 1D heat equation;
- fd1d_plot, a program which plots solutions from the FD1D program.
- fekete, a library which sets up one of seven Fekete rules for interpolation or quadrature in a triangle;
- fem_50, a program which implements a Finite Element Method solver using about 50 lines of MATLAB code;
- fem_50_heat, a program which is a version of fem_50 for the time-dependent heat equation;
- fem_basis_t3_display, a program which displays any single basis function associated with an arbitrary linear triangle (« T3 ») mesh;
- fem_basis_t6_display, a program which displays any single basis function associated with an arbitrary quadratic triangle (« T6 ») mesh;
- fem_io, a library which reads or writes FEM files, (three text files describing a finite element model);
- fem_sample, a library which samples a finite element function, defined by FEM files, (three text files describing the nodes, triangles, and coefficients); at arbitrary points.
- fem_to_tec, a program which reads a set of FEM files, (three text files describing a finite element model), and writes a TEC filesuitable for display by TECPLOT;
- fem1d, a program which applies the finite element method, using piecewise linear basis functions, to a linear two point boundary value problem in 1D;
- fem1d_adaptive, a program which uses an adaptive mesh when applying the finite element method, with piecewise linear basis functions, to a linear two point boundary value problem in 1D;
- fem1d_nonlinear, a program which applies the finite element method, with piecewise linear basis functions, to a nonlinear two point boundary value problem in 1D;
- fem1d_pmethod, a program which applies the p-method version of the finite element method to a linear two point boundary value problem in 1D;
- fem2d_heat, a program which applies the finite element method for the time-dependent heat equation on a triangulated square in 2D;
- fem2d_poisson, a program which applies the finite element method for Poisson’s equation on a triangulated square in 2D;
- fempack, a library which performs simple finite element computations;
- ffh_sparse, a program which applies the finite element method to the heat equations on an arbitrary triangulated region in 2D. This is a special version of FREE_FEM_HEAT that uses MATLAB’s sparse matrix features;
- ffns_sparse, a program which applies the finite element method to the steady incompressible Navier Stokes equations on an arbitrary triangulated region in 2D. This is a special version of FREE_FEM_NAVIER_STOKES that uses MATLAB’s sparse matrix features;
- ffp_sparse, a program which applies the finite element method to the Poisson equations on an arbitrary triangulated region in 2D. This is a special version of FREE_FEM_POISSON that uses MATLAB’s sparse matrix features;
- ffs_sparse, a program which is a finite element code for the steady incompressible Stokes equations on an arbitrary triangulated region in 2D. This is a special version of FREE_FEM_STOKES that uses MATLAB’s sparse matrix features;
- filum, a library which handles files and filenames;
- free_fem_heat, a program which applies the finite element method to the time dependent heat equation on an arbitrary triangulated region in 2D;
- free_fem_navier_stokes, a program which applies the finite element method to the steady incompressible Navier Stokes equations on an arbitrary triangulated region in 2D;
- free_fem_poisson, a program which applies the finite element method to Poisson’s equation on an arbitrary triangulated region in 2D;
- free_fem_stokes, a program which applies the finite element method for the steady incompressible Stokes equations on an arbitrary triangulated region in 2D;
- gegenbauer_rule, a program which computes and writes out a Gauss-Gegenbauer quadrature rule of given order.
- gen_hermite_rule, a program which computes and writes out a generalized Gauss-Hermite quadrature rule of given order and parameter value ALPHA.
- gen_laguerre_rule, a program which computes and writes out a generalized Gauss-Laguerre quadrature rule of given order and parameter value ALPHA.
- geometry, a library which performs 2D/3D geometric calculations;
- geompack, a library which computes the Delaunay triangulation for a set of points in 2D;
- gl_display, a program which displays the points used in a 2D Gauss-Legendre quadrature rule;
- gm_rules, a library which defines Grundmann-Moeller quadratures rules for an M-dimensional simplex.
- grid, a library which computes N random points on a uniform M dimensional grid;
- grid_dataset, a program which creates a grid dataset;
- halton, a library which calculates the Halton M-dimensional quasirandom sequence;
- halton_dataset, a program which creates N elements of an M dimensional Halton sequence and write them to a file.
- hammersley, a library which computes the Hammersley M-dimensional quasirandom sequence;
- hammersley_dataset, a program which creates N elements of an M dimensional Hammersley sequence and write them to a file.
- hb_io, a library which reads and writes files in the Harwell Boeing sparse matrix format;
- hb_to_msm, a program which converts a sparse matrix stored in a Harwell Boeing file to MATLAB sparse matrix format;
- hcell_flow_display, a program which plots the physical data, pressures or velocities, from a run of the HCELL program;
- hermite_phys_product, a library which writes out a table of the integrals of products of pairs of Hermite (physicist) polynomials with a linear or exponential weight.
- hermite_prob_product, a library which writes out a table of the integrals of products of pairs of Hermite (probabilist) polynomials with a linear or exponential weight.
- hermite_rule, a program which computes and writes out a Gauss-Hermite quadrature rule of given order.
- hex_grid, a library which generates a hexagonal grid of points in the unit square or an arbitrary rectangle;
- hex_grid_angle, a library which defines a hexagonal grid of points in the unit square, with an arbitrary center, angle, and spacing.
- hex_grid_dataset, a program which creates a hexagonal grid of points in a rectangle, and write them to a file, using the hex_grid library.
- 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;
- hot_pipe, a program which demonstrates
**fem_50_heat**to solve a particular heat equation problem; - hot_point, a program which demonstrates
**fem_50_heat**to solve a particular heat equation problem; - ihs, a library which generates the Improved Distributed Hypercube Sampling M-dimensional quasirandom sequence;
- ihs_dataset, a program which creates an IHS dataset and writes it to a file;
- inout_flow_display, a library which displays a single velocity field solution for the INOUT flow;
- inout_flow_movie, a library which creates an animation of the velocity solutions for the INOUT cell;
- int_exactness, a program which tests the polynomial exactness of quadrature rules for a finite interval;
- int_exactness_chebyshev1, a program which tests the polynomial exactness of Gauss-Chebyshev type 1 quadrature rules.
- int_exactness_chebyshev2, a program which tests the polynomial exactness of Gauss-Chebyshev type 2 quadrature rules.
- int_exactness_gegenbauer, a program which tests the polynomial exactness of Gauss-Gegenbauer quadrature rules.
- int_exactness_gen_hermite, a program which tests the polynomial exactness of generalized Gauss-Hermite quadrature rules.
- int_exactness_gen_laguerre, a program which tests the polynomial exactness of generalized Gauss-Laguerre quadrature rules.
- int_exactness_hermite, a program which tests the polynomial exactness of Gauss-Hermite quadrature rules.
- int_exactness_jacobi, a program which tests the polynomial exactness of Gauss-Jacobi quadrature rules.
- int_exactness_laguerre, a program which tests the polynomial exactness of Gauss-Laguerre quadrature rules.
- int_exactness_legendre, a program which tests the polynomial exactness of Gauss-Legendre quadrature rules.
- jacobi_rule, a program which computes and writes out a Gauss-Jacobi quadrature rule of given order.
- keast, a library which defines Keast quadrature rules in a tetrahedron;
- kelley, a library which implements iterative methods for linear and nonlinear equations, by Tim Kelley;
- laguerre_product, a library which writes out a table of the integrals of products of pairs of Laguerre polynomials with a linear or exponential weight.
- laguerre_rule, a program which computes and writes out a Gauss-Laguerre quadrature rule of given order.
- latin_center, a library which computes N points in an M-dimensional Latin Center square;
- latin_edge, a library which returns N points in an M-dimensional Latin Edge square;
- latin_random, a library which returns N points in an M-dimensional Latin Random square;
- latinize, a program which adjusts N points in M dimensions to form a Latin hypercube;
- lcvt, a library which makes a sort of Latinized CVT (centroidal Voronoi tesselation);
- lcvt_dataset, a program which creates a Latinized CVT dataset;
- legendre_product, a library which writes out a table of the integrals of products of pairs of Legendre polynomials with a linear or exponential weight.
- legendre_rule, a program which writes out a Gauss-Legendre quadrature rule of given order.
- lemke, a library which implements Lemke’s algorithm for the linear complementarity problem, by Paul Fackler and Mario Miranda.
- levels, a library which makes a contour plot, choosing the contour levels using random sampling.
- linpack, a library which constitutes a linear algebra library;
- linpack_bench, a program which is the LINPACK benchmark;
- linpack_bench_backslash, a program which is the LINPACK benchmark, using MATLAB’s buildin « backslash » operator;
- linpack_c, a library which constitutes a linear algebra library for single precision complex arithmetic;
- linpack_d, a library which constitutes a linear algebra library for double precision real arithmetic;
- linpack_s, a library which constitutes a linear algebra library; for single precision real arithmetic;
- linpack_z, a library which constitutes a linear algebra library; for double precision complex arithmetic (NOTHING HERE)
- linplus, a library which factors/solves/multiplies matrices in a variety of formats;
- lorenz_demo, a program which computes and displays solutions of the Lorenz equations;
- machar, a library which dynamically computes the value of various machine characteristic constants;
- machine, a library which returns tabulated values of the constants associated with computer arithmetic
- matlab, examples which illustrate the use of MATLAB scripts and M-files;
- matlab_batch, examples which illustrate how MATLAB can be run in « batch » mode, that is, non-interactively, on a UNIX system;
- matlab_c, examples which illustrate how C functions can be written, compiled, and called from MATLAB using the MEX facility;
- matlab_f77, examples which illustrate how FORTRAN77 functions can be written, compiled, and called from MATLAB using MATLAB’s
**mex**facility; - matlab_movies, examples which illustrate making movies using MATLAB;
- matlab_os, examples which illustrate how the
**system**command can be used to allow MATLAB to issue commands to the computer operating system (UNIX or DOS); - md is a program which carries out a molecular dynamics simulation, and is intended as a starting point for implementing an OpenMP parallel version.
- memory_test, a program which tests the memory available on the computer by declaring and using big vectors.
- mesh_bandwidth, a program which returns the geometric bandwidth associated with a mesh of elements of any order and in a space of arbitrary dimension.
- mgmres, a library which applies the restarted GMRES algorithm to a sparse linear system;
- mm_io, a library which reads and writes a Matrix Market Sparse Matrix File;
- msm_to_hb, a program which writes a MATLAB sparse matrix to a Harwell Boeing file;
- mxv, a program which compares the performance of (DO I, DO J) loops and (DO J, DO I ) loops for computing the product of an MxN matrix A and an N vector X.
- nast2d_contour, a program which reads a data file from NAST2D_F90 and creates a contour plot;
- nast2d_streak_display, a program which reads a streakline data file from NAST2D_F90 and displays an image of one time frame;
- nast2d_streak_movie, a program which reads a streakline data file from NAST2D_F90 and creates a movie;
- ncc_tetrahedron, a library which defines Newton-Cotes closed quadrature rules in a tetrahedron;
- ncc_triangle, a library which defines Newton-Cotes closed quadrature rules in a triangle;
- nco_tetrahedron, a library which defines Newton-Cotes open quadrature rules in a tetrahedron;
- nco_triangle, a library which defines Newton-Cotes open quadrature rules in a triangle;
- nelder_mead, a program which implements the Nelder-Mead algorithm for the minimization of a scalar function of several variables.
- nested_sequence_display, a program which displays a set of nested sequences.
- niederreiter2, a library which computes the Niederreiter M-dimensional quasirandom sequence, base 2;
- nint_exactness, a program which demonstrates how to test the polynomial exactness of a multidimensional quadrature rule;
- nint_exactness_tet, a program which tests the polynomial exactness of a quadrature rule for the tetrahedron;
- nint_exactness_tri, a program which tests the polynomial exactness of a quadrature rule for the triangle;
- nintlib, a library which carries out approximate integration (quadrature) in multiple dimensions;
- normal, a library which generates uniform pseudorandom numbers;
- optimal_control_1d, a program which seeks the optimal control function for a one dimensional system which is represented using the finite element formulation;
- owens a library which evaluates Owen’s T function;
- pbma_io, a library which reads or writes an ASCII PBM; (Portable Bit Map) image file;
- pce_legendre, a program which assembles the system matrix associated with a polynomal chaos expansion of a 2D stochastic PDE, using Legendre polynomials;
- pgma_io, a library which reads or writes an ASCII PGM; (Portable Gray Map) image file;
- ply_io, a library which reads or writes a PLY file.
- ply_to_tri_mesh, a program which reads a PLY file, and extracts the surface mesh data as a TRI_MESH dataset.
- points_01_plot, a program which reads an ASCII file containing points in the unit square, and makes an Encapsulated PostScript image;
- points_display a program which reads a TABLE file containing the coordinates of points in 2D or 3D, and displays a plot of the points in a MATLAB graphics window;
- polking programs, DFIELD5 and PPLANE5, for direction fields and phase planes of differential equations;
- polpak a library which evaluates recursively defined polynomials and other special functions;
- polygonal_surface_display a program which displays a surface in 3D described as a set of polygons;
- power_method a library which carries out the power method for finding a dominant eigenvalue and its eigenvector.
- ppma_io a library which reads or writes an ASCII PPM; (Portable Pixel Map) image file;
- prob a library which evaluates and samples various probability density functions;
- product_factor, a program which creates a multidimensional quadrature rule from a product of
*distinct*1d quadrature rules; - product_rule a program which creates a multidimensional quadrature rule from a product of
*identical*1d quadrature rules; - profile a directory of programs which illustrate the use of the MATLAB
**profile**utlity, which monitors the execution of a series of MATLAB commands, and then produces a performance profile report afterwards. - puzzles, executable programs which solve simple puzzles;
- quad_mesh_display, a program which plots piecewise bilinear data associated with a quadrilateral mesh;
- quadrature_test a program which reads the definition of a multidimensional quadrature rule from three files, applies the rule to a number of test integrals, and prints the results.
- quadrule a library which defines quadrature rules for approximating an integral;
- quadrule_fast a library which rapidly defines certain quadrature rules for approximating an integral;
- quality a library which measures the dispersion of pointsets in M dimensions;
- random_data, a library which generates sample points for various probability density functions, geometries, and dimensions;
- rcm, a library which applies the reverse Cuthill McKee algorithm for reordering the nodes of a graph, and reducing the bandwidth of a corresponding sparse matrix;
- region_sample, a program which returns sample points from a region;
- sandia_rules, a library which produces a standard 1D Gauss quadrature rule of Chebyshev, Gegenbauer, generalized Hermite, generalized Laguerre, Hermite, Jacobi, Laguerre, and Legendre types.
- sandia_sparse, a library which can produce a multidimensional sparse grid, based on a variety of 1D quadrature rules; only isotropic grids are generated, that is, the same rule is used in each dimension, and the same maximum order is used in each dimension.
- satisfiability is a program which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem.
- sde, a library which illustrates the properties of stochastic differential equations, and common algorithms for their analysis, by Desmond Higham;
- sequence_streak_display, a program which displays a « streak plot » of a numeric sequence;
- sobol, a library which generates elements of the Sobol M-dimensional quasirandom sequence;
- sp_level_closed, a program which creates a sparse grid dataset based on closed rules (Clenshaw-Curtis, Newton-Cotes-Closed).
- sp_level_open, a program which creates a sparse grid dataset based on open rules (Fejer 1, Fejer 2, Gauss-Patterson, Newton-Cotes-Open, Newton-Cotes-Open-Half).
- sparse, a directory of example programs which illustrate the use of MATLAB’s SPARSE matrix utilities;
- sparse_grid_cc, a library which creates sparse grids based on Clenshaw-Curtis rules.
- sparse_grid_cc_dataset, a program which creates sparse grids based on Clenshaw-Curtis rules.
- sparse_grid_closed, a library which creates sparse grids based on closed rules (Clenshaw-Curtis, Newton-Cotes-Closed).
- sparse_grid_display, a program which reads a file of points on a sparse grid, displays the grid and save the image in a PNG file;
- sparse_grid_gl, a library which creates sparse grids based on Gauss-Legendre rules.
- sparse_grid_gl_dataset, a program which creates a sparse grid dataset based on Gauss-Legendre rules.
- sparse_grid_hermite, a library which creates sparse grids based on Gauss-Hermite rules.
- sparse_grid_hermite_dataset, a program which creates a sparse grid dataset based on Gauss-Hermite rules.
- sparse_grid_laguerre, a library which creates sparse grids based on Gauss-Laguerre rules.
- sparse_grid_laguerre_dataset, a program which creates a sparse grid dataset based on Gauss-Laguerrre rules.
- sparse_grid_open, a library which creates sparse grids based on open rules (Fejer 1, Fejer 2, Gauss-Patterson, Newton-Cotes-Open, Newton-Cotes-Open-Half).
- sparse_grids_display, a program which reads two files of sparse grids, displaying the first with hollow blue dots, the second with solid red dots.
- spinterp, a library which carries out piecewise multilinear hierarchical sparse grid interpolation, by Andreas Klimke; ACM TOMS Algorithm 847.
- spline, a library which interpolates and approximates via splines;
- stla_display, a program which displays an STLA file (ASCII stereolithography 3D graphics file);
- stla_io, a library which reads and writes an STLA file (ASCII stereolithography 3D graphics file);
- stroud, a library which implements numerical integration over M-dimensional regions, including spheres, toruses and other shapes;
- subpak, a library which includes many utility routines;
- subset, a library which ranks, unranks, and generates random subsets, combinations, permutations, and so on;
- sudoku, a library which handles Sudoku puzzles;
- sum_million, a program which sums the integers from 1 to 1,000,000, as a demonstration of how to rate a computer’s speed;
- svd_basis, a program which applies the singular value decomposition to a collection of data vectors, extracting dominant modes;
- svd_demo, a program which demonstrates the calculation of the singular value decomposition and some of its properties;
- table_io, a library which reads and writes a simple TABLE file;
- table_latinize, a program which reads a TABLE file of N points in M dimensions, adjusts to form a Latin hypercube;
- table_merge, a program which reads a TABLE file of N points in M dimensions, removes duplicates or points that are closer than some tolerance, and writes the reduced set of points to a file.
- table_quality, a program which reads a TABLE file of N points in M dimensions, in the unit hypercube, and returns estimates of the quality of the point dispersion;
- table_read, a program which reads a TABLE file containing comment lines beginning with ‘#’, and a matrix of data, one row per line;
- tcell_flow_display, a library which displays a single velocity field solution for the T cell;
- tcell_flow_movie, a library which creates an animation of the velocity solutions for the T cell;
- tcell_rom, a program which solves a reduced order model of a finite element solution of the Navier Stokes equations in a « T-Cell » flow region;
- tec_io, a library which reads or writes a TEC file containing finite element information;
- tec_to_fem, a program which reads a TEC file suitable for display by TECPLOT, extracts the information, and writes a corresponding set of FEM files, three text files describing the finite element model;
- templates, a library which carries out the iterative solution of linear systems;
- test_int_hermite, a library which implements test problems for approximate integration over an infinite interval.
- test_int_laguerre, a library which implements test problems for approximate integration over a semi-infinite interval.
- test_mat a library which defines a set of test matrices.
- test_matrix, a library which defines a set of test matrices and utilities, by Nick Higham;
- test_nint, a library which implements test problems for approximate integration (quadrature) in multiple dimensions.
- test_ode, a library which defines some sample ODE’s for testing initial value problem solvers;
- test_tri_int, a library which implements test functions for integration over a triangle in 2 dimensions.
- test_triangulation, a library which defines test problems for triangulation;
- test_values, a library which returns selected values of some special functions;
- test_zero, a library which defines some functions f(x) suitable for testing software that solves f(x)=0;
- testpack a library which defines a set of test integrand functions by Alan Genz.
- tet_mesh a library which works with tetrahedral meshes in 3D;
- tet_mesh_display, a program which reads data defining a (small) tet mesh, displays a wireframe image of the nodes and edges;
- tet_mesh_l2q, a program which reads information about a 4-node (linear) tet mesh and creates data defining a corresponding 10-node (quadratic) tet mesh;
- tet_mesh_q2l, a program which reads information about a 10-node (quadratic) tet mesh and creates data defining a corresponding 4-node (linear) tet mesh;
- tet_mesh_quality, a program which computes various quality measures for a tet mesh of a set of nodes in 3D;
- tet_mesh_rcm, a program which computes the reverse Cuthill-McKee reordering for the nodes of a tet mesh that uses 4-node or 10-node tetrahedrons;
- tet_mesh_refine, a program which refines a tet mesh;
- tet_mesh_tet_neighbors, a program which reads information about a tet mesh and writes out a list of the tetrahedrons that are adjacent to a given tetrahedron;
- timer, examples which illustrate how to time a piece of code;
- timestamp, a library which prints the current YMDHMS date as a timestamp;
- toms178 a library which seeks the minimizer of a scalar function of several variables using the Hooke-Jeeves method;

this is a MATLAB version of ACM TOMS algorithm 178. - toms179 a library which calculates the incomplete Beta ratio;

this is a MATLAB version of ACM TOMS algorithm 179. - toms291 a library which approximates the logarithm of the Gamma function;

this is a MATLAB version of ACM TOMS algorithm 291. - tri_mesh_display, a program which displays a surface in 3D described as a mesh of triangles;
- tri_mesh_to_ply, a program which converts a TRI_MESH dataset to a dataset suitable for storage as a PLY file.
- triangulation, a library which computes the triangulation of a set of points in the plane, and to perform various operations using a triangulation;
- 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;
- triangulation_corner, a program which modifies triangulations in which one or more triangles have more than one boundary edge.
- triangulation_l2q, a program which reads information about a 3-node (linear) triangulation and creates data defining a corresponding 6-node (quadratic) triangulation;
- triangulation_mask, a program which reads a triangulation and calls a user-supplied routine to consider each triangle for deletion;
- triangulation_order1_display, a program which plots piecewise constant data associated with a triangulation;
- triangulation_order3_contour, a program which plots color contours of a scalar quantity evaluated at the nodes of a 3-node triangle triangulation.
- triangulation_order6_contour, a program which plots color contours of a scalar quantity evaluated at the nodes of a 6-node triangle triangulation.
- triangulation_orient, a program which ensures that the triangles in an order 3 or order 6 triangulation have positive orientation;
- triangulation_plot, a program which plots the nodes and elements of a triangulation;
- triangulation_q2l, a program which reads information about a 6-node triangulation and creates data defining a corresponding 3-node triangulation;
- triangulation_quality, a program which reads information about a triangulation and computes various quality measures;
- triangulation_rcm, a program which computes the reverse Cuthill-McKee reordering for the nodes of a triangulation that uses 3-node or 6-node triangles;
- triangulation_refine, a program which refines a triangulation;
- 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;
- tumor, a program which demonstrates a model of tumor growth;
- uniform, a library which computes N elements of a uniform pseudorandom sequence;
- uniform_dataset, a program which creates N elements of an M dimensional uniform pseudorandom sequence and writes them to a file.
- van_der_corput, a library which computes elements of the van der Corput 1-dimensional quasirandom sequence;
- van_der_corput_dataset, a program which creates N elements of a van der Corput sequence and writes them to a file.
- vector_magnitude_grid, a program which reads vector data at « scattered » points, computes an interpolatory function, evaluates it on a uniform grid of user-specified density, and produces a contour plot of the vector magnitude.
- vector_stream_grid, a program which reads vector data at « scattered » points, computes an interpolatory function, evaluates it on a uniform grid of user-specified density, and produces a streamline plot.
- velocity_arrows, a program which reads coordinate data and velocity data from two files and makes an arrow plot of the velocity field.
- velocity_arrows_grid, a program which reads node and velocity data, stored in two files, at « scattered » points, and makes a velocity vector plot on a uniform grid of user-specified density.
- velocity_arrows_grid_sequence2, a program which reads a single XYUV file of nodes and velocities, interpolates the data onto a smooth grid, plots the data and writes it to a PNG file, and then repeats the process for the next file.
- velocity_arrows_grid2, a program which reads node and velocity data, stored in one file, at « scattered » points, and makes a velocity vector plot on a uniform grid of user-specified density.
- velocity_arrows_sequence, a program which reads a fixed coordinate data file, and a sequence of velocity data files, and makes a sequence of velocity arrow plots.
- velocity_arrows_sequence2, a program which reads a single XYUV file of nodes and velocities, plots the data and writes it to a PNG file, and then repeats the process for the next file.
- velocity_arrows2, a program which reads coordinate and velocity data from a single file and makes an arrow plot of the velocity field.
- 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.
- voronoi_new, a program which is a revised version of MATLAB’s
**voronoi**command, and does a better job with the boundaries of the infinite regions; - wandzura, a library which returns one of 6 Wandzura rules for quadrature in a triangle;
- xy_io, a library which reads and writes XY files.
- ziggurat, a library which samples the uniform, normal or exponential distributions, using the ziggurat method.

You can go up one level to the main web page.

*Last revised on 15 July 2008.*

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