alscal,
a program which
performs M-dimensional scaling of data given interdata distances,
by Forrest Young and Rostyslaw Lewyckyj.
alscal_data_convert
a program which
reads a data file containing object names and distances between objects,
and reformats the data for input to ALSCAL.
anyplt
a library which
was intended as a simple interface to a variety of graphics packages.
apportionment
a library which
demonstrates some of the methods
used or proposed for fairly assigning a number of
seats in the House of Representatives to each state;
arby4
a program which
analyzes a 2D fluid flow using the reduced basis method.
args
a program which
reports the command line arguments of a FORTRAN90 program;
arpack
a library which
computes eigenvalues for large matrices,
by Richard Lehoucq, Danny Sorensen, Chao Yang;
asa005
a library which
evaluates the lower tail of the noncentral Student's T distribution,
by BE Cooper;
this is a FORTRAN90 version of Applied Statistics Algorithm 5;
asa006
a library which
computes the Cholesky factor of a positive definite symmetric matrix,
by Michael Healy;
this is a FORTRAN90 version of Applied Statistics Algorithm 6;
asa007
a library which
computes the inverse of a positive definite symmetric matrix,
by Michael Healy;
this is a FORTRAN90 version of Applied Statistics Algorithm 7,
asa032
a library which
evaluates the incomplete Gamma function,
by G Bhattacharjee;
this is a FORTRAN90 version of Applied Statistics Algorithm 32;
asa047
a library which
minimizes a scalar function of several variables using the Nelder-Mead algorithm,
by R ONeill;
this is a FORTRAN90 version of Applied Statistics Algorithm 47;
asa058
a library which
carries out clustering of data,
by David Sparks;
this is a FORTRAN90 version of Applied Statistics Algorithm 58;
asa063
a library which
evaluates the incomplete Beta function,
by KL Majumder and G Bhattacharjee;
this is a FORTRAN90 version of Applied Statistics Algorithm 63;
asa066
a library which
computes the cumulative density function (CDF) of the standard normal distribution,
by David Hill;
this is a FORTRAN90 version of Applied Statistics Algorithm 66;
asa076
a library which
evaluates Owen's T function,
by Young and Minder;
this is a FORTRAN90 version of Applied Statistics Algorithm 76;
asa091
a library which
computes the percentage points of the Chi-square distribution,
by Best and Roberts;
this is a FORTRAN90 version of Applied Statistics Algorithm 91;
asa103
a library which
evaluates the digamma or psi function,
by Jose Bernardo;
this is a FORTRAN90 version of Applied Statistics Algorithm 103;
asa109
a library which
inverts the incomplete Beta function,
by Cran, Martin and Thomas;
this is a FORTRAN90 version of Applied Statistics Algorithm 109;
asa111
a library which
evaluates the percentage points of the normal distribution,
by Beasley and Springer;
this is a FORTRAN90 version of Applied Statistics Algorithm 111;
asa113
a library which
clusters data using a transfer and swap algorithm,
by Banfield and Bassill;
this is a FORTRAN90 version of Applied Statistics Algorithm 113;
asa121
a library which
evaluates the trigamma function,
by BE Schneider;
this is a FORTRAN90 version of Applied Statistics Algorithm 121;
asa136
a library which
implements a clustering algorithm,
by Hartigan and Wong;
this is a FORTRAN90 version of Applied Statistics Algorithm 136;
asa144
a library which
randomly generates tables with given row and column sums,
by James Boyett;
this is a FORTRAN90 version of Applied Statistics Algorithm 144;
asa147
a library which
evaluates the incomplete Gamma function,
by Chi Leung Lau;
this is a FORTRAN90 version of Applied Statistics Algorithm 147;
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 FORTRAN90 version of Applied Statistics Algorithm 152;
asa159
a library which
computes a random table with given row and column sums,
by Michael Patefield;
this is a FORTRAN90 version of Applied Statistics Algorithm 159;
asa172
a library which
generates all multidimensional indices in a given range,
simulating the behavior of an arbitrary number of nested loops,
by OFlaherty and MacKenzie;
this is a FORTRAN90 version of Applied Statistics Algorithm 172;
asa183
a library which
implements a pseudorandom number generator,
by Wichman and Hill;
this is a FORTRAN90 version of Applied Statistics Algorithm 183;
asa189
a library which
estimates the parameters of a beta binomial distribution based on a sample
of values generated by the distribution, by D Smith;
this is a FORTRAN90 version of Applied Statistics Algorithm 189;
asa205
a library which
generates tables with given row and column sums;
this is a FORTRAN90 version of Applied Statistics Algorithm 205;
asa226
a library which
evaluates the noncentral incomplete Beta function,
by Russell Lenth;
this is a FORTRAN90 version of Applied Statistics Algorithm 226;
asa239
a library which
evaluates the incomplete Gamma function,
by Shea;
this is a FORTRAN90 version of Applied Statistics Algorithm 239;
asa241
a library which
computes the inverse of the normal cumulative density function (CDF),
by Michael Wichura;
this is a FORTRAN90 version of Applied Statistics Algorithm 241;
asa243
a library which
evaluates the lower tail of the noncentral Student's T distribution,
by Russell Lenth;
this is a FORTRAN90 version of Applied Statistics Algorithm 243;
asa245
a library which
evaluates the logarithm of the Gamma function,
by Allan Mcleod;
this is a FORTRAN90 version of Applied Statistics Algorithm 245;
asa266
a library which
evaluates various properties of the Dirichlet probability density function (PDF);
this is a FORTRAN90 version of Applied Statistics Algorithm 266;
asa299
a library which
computes the lattice points
(integer coordinates) in an M-dimensional simplex,
by Chasalow and Brand;
this is a FORTRAN90 version of Applied Statistics Algorithm 299;
asa310
a library which
evaluates the noncentral incomplete Beta function,
by Chattamvelli and Shanmugam;
this is a FORTRAN90 version of Applied Statistics Algorithm 310;
ball_grid
a library which
computes grid points inside a 3D ball.
ball_volume_monte_carlo
a program which
applies a Monte Carlo procedure to estimate the volume of the
M-dimensional unit ball;
ball_volume_quad
a program which
applies a quadrature rule to estimate the volume of the unit ball in 6D;
band_qr
a library which
computes the QR factorization of a banded matrix, and can solve
related linear systems,
by Alfredo Remon, Enrique Quintana-Orti, Gregorio Quintana-Orti.
bar_plot
a library which
creates RGB color arrays for data that represents a sort of bar plot
(several Y values for each X value).
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.
basis_compare
a program which
compares two sets, each containing N
orthonormal M-dimensional vectors, to see if they span the same
subspace.
bayes_beta
a program which
uses Bayesian analysis to estimate the parameters in a beta distribution
based on a series of sample data.
bayes_dice
a program which
uses Bayesian analysis to adjust a model of loaded dice
based on a sequence of experimental observations.
bayes_weight
a program which
uses Bayesian analysis to adjust a model of loaded dice
based on a sequence of experimental observations.
bdmlib
a library which
estimates the weights in a Dirichlet mixtured based on sample data;
bernstein
a library which
evaluates the Bernstein polynomials;
beta_nc
a library which
evaluates the cumulative density function (CDF) of the noncentral Beta distribution;
bezier_surface
a library which
reads, writes, prints and manipulates
the data that defines a Bezier surface;
bins
a library which
orders, sorts and searches data using bins;
bisection_integer
a library which
seeks an integer solution to the equation F(X)=0,
using bisection within a user-supplied change of sign inter+al [A,B].
black_scholes
a library which
implements some simple approaches to
the Black-Scholes option valuation theory,
by Desmond Higham.
blacs
a library which
sets up the necessary communication for a linear algebra computation
on any of a variety of distributed memory clusters.
blas
a library which
contains the Basic Linear Algebra Subprograms (BLAS)
for level 1, 2 and 3, for single and double precision,
and for real and complex arithmetic.
blas1
a library which
contains the Basic Linear Algebra Subprograms (BLAS)
for level 1 (vector-vector operations), for single and double precision,
and for real and complex arithmetic,
by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
blas1_c
a library which
constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS),
using single precision complex arithmetic,
by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
blas1_d
a library which
constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS),
using double precision real arithmetic,
by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
blas1_s
a library which
constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS),
using single precision real arithmetic,
by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
blas1_z
a library which
constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS),
using double precision complex arithmetic,
by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
blas2
a library which
constitutes the Level 2 Basic Linear Algebra Subprograms (BLAS);
blas3
a library which
constitutes the Level 3 Basic Linear Algebra Subprograms (BLAS);
blend
a library which
carries out 1D/2D/3D blending interpolation;
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;
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,
by Richard Brent.
bt_serial
a program which
is a serial version of the NAS Parallel Benchmark BT
(block tridiagonal solver for a 3D PDE).
bump
a program which
computes the steady 2D incompressible
Navier-Stokes flow in a channel that includes a variable bump;
burgers_solution
a library which
evaluates an exact solution of the time-dependent 1D viscous Burgers equation.
bvls
a library which
applies least squares methods to solve a linear system for which
lower and upper constraints may have been placed on every variable,
by Charles Lawson and Richard Hanson.
c4lib
a library which
implements certain elementary functions for
single precision complex variables;
c8lib
a library which
implements certain elementary functions for double precision complex variables;
calendar_nyt
a library which
shows the correspondence between dates and the New York Times volume and
issue number;
calpak
a library which
makes various calendar calculations;
ccn_rule
a program which
defines a nested Clenshaw Curtis quadrature rule.
ccvt_box
a program which
calculates a Centroidal Voronoi Tessellation (CVT) constrained to a box
region, with points projected to the boundary;
ccvt_reflect
a program which
carries out a Centroidal Voronoi Tessellation (CVT) calculation that tries to include
points on the boundary as well as the interior, using a natural
(nonparametric) technique;
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.
cg_serial
a program which
is a serial version of the NAS Parallel Benchmark CG
(conjugate gradient solver).
channel
a program which
uses a finite element model of time independent
viscous incompressible flow in a 2D channel;
chebyshev
a library which
computes the Chebyshev interpolant/approximant to a given function
over an interval.
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).
chebyshev_polynomial
a library which
evaluates the Chebyshev polynomial and associated functions.
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;
circle_arc_grid
a program which
computes grid points along a circular arc.
circle_grid
a library which
computes grid points inside a circle.
circle_test
a program which
performs a circle-spacing test on sets of points;
cities
a library which
works with city-to-city distance matrices;
clenshaw_curtis_rule
a program which
implements a Clenshaw Curtis quadrature rule;
cluster_energy
a program which
computes the minimal cluster energy of a set of points;
cnf_io
a library which
reads or writes CNF data files, used to store boolean formulas in
conjunctive normal form.
codepack
a library which
computes graph codes to compare two graphs;
collatz_recursive
a library which
demonstrates recursive programming by considering the simple Collatz 3n+1 problem.
colored_noise
a library which
generates samples of noise obeying a 1/f^alpha power law.
colors
a library which
converts between various formats for describing colors;
combination_lock
a program which
simulates the process of determining the secret combination of a lock.
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.
communicator_mpi
a program which
creates new communicators involving a subset of initial
set of MPI processes in the default communicator MPI_COMM_WORLD.
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.
complex_numbers
a program which
demonstrates some simple features involved in the use of
complex numbers in FORTRAN90 programming.
condition
a library which
implements methods of computing or estimating the condition number of a matrix.
cordic
a library which
computes a few special functions using the CORDIC algorithm.
correlation
a library which
contains examples of statistical correlation functions.
crystal
a program which
simulates axisymmetric
silicon crystal growth under the Czochralski process;
crystal_coordinates
a program which
generates the spatial coordinates
of a slab of points in 3D, using face-centered cubic (FCC) symmetry; these coordinates
may be used for initialization of a molecular dynamics program;
crystal_plot
a program which
creates plots of the output of the crystal or crystal_qed programs.
crystal_qed
a program which
seeks to minimize a certain objective function during the growth of
a silicon crystal under the Czochralski process.
csv_io
a library which
reads and writes files that use the Comma Separated Value (CSV) format.
cubpack
a library which
estimates the integral of a function
(or vector of functions) over a collection of M-dimensional
hyperrectangles and simplices,
by Alan Genz and Ronald Cools.
cvt
a library which
computes an N point
Centroidal Voronoi Tessellation (CVT) in M dimensions;
cvt_basis
a program which
uses discrete Centroidal Voronoi Tessellation (CVT) techniques to produce a
small set of basis vectors that are good cluster centers for a
large set of data vectors;
cvt_basis_flow
a program which
uses Centroidal Voronoi Tessellation (CVT)
techniques to extract a small set of representative behaviors
from a large set of solutions of a partial differential equation (PDE)
representing fluid flow;
cvt_dataset
a program which
creates a Centroidal Voronoi Tessellation (CVT) dataset;
cvt_fixed
a library which
computes a Centroidal Voronoi Tessellation (CVT),
built on top of cvt_size, which allows the user to fix
the location of some generators;
cvt_fixed2
a library which
implements a version of the Centroidal Voronoi Tessellation (CVT)
algorithm which allows the user to fix some points;
cvt_mod
a library which
creates a Centroidal Voronoi Tessellation (CVT)
dataset on the unit square with no boundaries (a logical torus);
cvt_mod_dataset
a program which
creates a Centroidal Voronoi Tessellation (CVT) dataset on the unit square
with no boundaries (a logical torus);
cvt_movie5_data
a program which
creates and saves data of a
Centroidal Voronoi Tessellation (CVT) iteration, for use in a movie;
cvt_refine
a library which
investigates how to refine a Centroidal Voronoi Tessellation (CVT)
by fixing the current points and adding new ones;
cvt_size
a library which
controls Centroidal Voronoi Tessellation (CVT) cell sizes by specifying
a weight function associated with each cell;
cvt_tet_mesh
a program which
constructs a Centroidal Voronoi Tessellation (CVT) for a region specified
by the TEST_TET_MESH library;
cvt_triangulation
a program which
constructs a Centroidal Voronoi Tessellation (CVT) for a region specified
by the TEST_TRIANGULATION library;
cvt_weight
a library which
tried to control Centroidal Voronoi Tessellation (CVT) cell sizes
by specifying a weight function associated with each cell;
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.
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.
cyclic_reduction
a library which
solves a tridiagonal linear system using cyclic reduction;
dcdflib
a library which
evaluates and inverts the cumulative density function (CDF)
associated with various probability distributions,
by Barry Brown, James Lovato, Kathy Russell.
delaunay_lmap_2d
a program which
reads a set of N points in 2 dimensions and writes out the Delaunay triangulation
of the data after it is implicitly transformed by a linear map;
diaphony
a program which
reads a file of N points in M dimensions and computes its diaphony, a measure
of point dispersion.
dijkstra
a program which
runs a simple example of Dijkstra's minimum distance algorithm for graphs.
dijkstra_openmp
a program which
uses OpenMP to parallelize a simple example of Dijkstra's
minimum distance algorithm for graphs.
discrete_pdf_sample
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.
dislin
programs which
illustrate the use of a scientific plotting package;
distance_to_position
a program which
estimates the positions of cities based on a city-to-city distance table.
distances
a program which
reads a multiple alignment file (perhaps preprocessed by read_align)
and creates a distance matrix suitable for a principal component
analysis by the spacer program.
divdif
a library which
uses divided differences to compute the polynomial interpolant
to a given set of data.
dlap
a library which
solves linear systems involving a large sparse matrix,
by Anne Greenbaum and Mark Seager.
dlap_io
a library which
reads and writes DLAP sparse matrix files;
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.
dqed
a library which
solves bounded and constrained least
squares problems and systems of nonlinear equations,
by Richard Hanson and Fred Krogh;
dsp_to_st
a program which
converts a sparse matrix file from
DSP format
(one-based indices) to Sparse Triplet (ST) format (zero-based indices);
duel_simulation
a program which
simulates N repetitions of a duel between two players, each of
whom has a known firing accuracy.
dunavant
a library which
defines Dunavant quadrature rules in a triangle;
dutch
a library which
performs certain tasks in computational geometry;
eispack
a library which
carries out eigenvalue computations.
It includes a function to compute the singular value decomposition (SVD)
of a rectangular matrix.
This library was superseded by LAPACK;
ellipse_grid
a library which
computes grid points inside an ellipse.
ellipsoid_grid
a library which
computes grid points inside a 3D ellipsoid.
ep_serial
a program which
is a serial version of the NAS Embarassingly Parallel (EP) benchmark program.
errors
programs which
illustrate the failure of numerical algorithms;
extract
a program which
extracts one routine from a FORTRAN77 or FORTRAN90 file;
f77_cleanup
a program which
makes some minor improvements to the
text of a FORTRAN77 file;
f77_to_f90
a program which
converts a FORTRAN77 file to FORTRAN90 format,
by Michael Metcalfe;
f90
programs which
illustrate the use of various FORTRAN90 programming features;
f90_calls_c
programs which
illustrates how a FORTRAN90 program can call a C function.
f90_calls_c_and_mpi
programs which
illustrate how a FORTRAN90 program can call a C function while
executing under the MPI parallel programming environment.
f90_calls_c++
programs which
illustrate how a FORTRAN90 program can call a C++ function.
f90_calls_c++_and_mpi
programs which
illustrate how a FORTRAN90 program can call a C++ function while
executing under the MPI parallel programming environment.
f90_calls_matlab
programs which
illustrate how a FORTRAN90 program can interact with MATLAB;
f90_intrinsics
programs which
illustrate the use of various FORTRAN90 intrinsic functions
and subroutines;
f90_random
programs which
illustrate the use of FORTRAN90's random number generator routines.
f90split
a program which
splits FORTRAN77 or FORTRAN90 source into individual files;
fair_dice_simulation
a program which
simulates N tosses of 2 dice, making a histogram of the results.
faure
a library which
computes elements of the Faure quasirandom M-dimensional
sequence;
faure_dataset
a program which
creates a Faure quasirandom dataset;
fd_predator_prey
a program which
solves a pair of predator prey ordinary differential equations (ODE's)
using a finite difference approximation.
fd1d_burgers_lax
a program which
applies the finite difference method and the Lax Wendroff method
to solve the non-viscous time-dependent Burgers equation in one spatial dimension.
fd1d_burgers_leap
a program which
applies the finite difference method and the leapfrog approach
to solve the non-viscous time-dependent Burgers equation in one spatial dimension.
fd1d_bvp
a program which
applies the finite difference method
to a two point boundary value problem in one spatial dimension.
fd1d_heat_explicit
a library which
implements a finite difference solution, explicit in time, of the
time dependent 1D heat equation;
fd1d_heat_implicit
a program which
implements a finite difference solution, implicit in time, of the
time dependent 1D heat equation;
fd1d_heat_steady
a program which
implements a finite difference solution for the steady
(time independent) 1D heat equation;
fd1d_predator_prey
a program which
implements a finite difference
algorithm for a 1D predator-prey system;
fd1d_wave
a program which
applies the finite difference method to solve the time-dependent
wave equation utt = c * uxx in one spatial dimension.
fd2d_predator_prey
a program which
implements a finite difference algorithm for a 2D predator-prey system,
by Marcus Garvie.
fekete
a library which
returns Fekete rules for interpolation or quadrature in a triangle;
felippa
a library which
defines quadrature rules for lines, triangles, quadrilaterals,
pyramids, wedges, tetrahedrons and hexahedrons.
fem_basis
a library which
can define and evaluate basis functions for any degree
in an M-dimensional simplex (1D interval, 2D triangle,
3D tetrahedron, and higher dimensional generalizations.)
fem_io
a library which
reads or writes FEM files,
(three text files describing a finite element model);
fem_to_mesh
a program which
reads a pair of FEM files defining node coordinates and elements,
and creates a corresponding MESH file.
fem_to_tec
a program which
reads a set of FEM files
(node coordinates/elements/node data)
of finite element information and writes an equivalent TECPLOT file.
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_bvp_linear
a program which
applies the finite element method, with piecewise linear elements,
to a two point boundary value problem in one spatial dimension,
and compares the computed and exact solutions
with the L2 and seminorm errors.
fem1d_heat_steady
a program which
implements the finite element method for the steady
(time independent) 1D heat equation;
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_pack
a library which
contains utilities for 1D finite element calculations.
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;
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.
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.
fem2d_heat
a program which
uses the finite element method and the backward
Euler method to solve the time-dependent heat equation
on an arbitrary triangulated region in 2D. (The user supplies
some information in some problem-dependent subroutines.)
fem2d_heat_rectangle
a program which
implements the finite element
method for the time dependent heat equation on a triangulated
square in 2D;
fem2d_heat_square
a library which
defines the geometry of a square region, as well as boundary and initial
conditions for a given heat problem, and is called by fem2d_heat
as part of a solution procedure.
fem2d_navier_stokes
a program which
uses the finite element
method to solve the steady incompressible Navier Stokes equations
on an arbitrary triangulated region in 2D (The user supplies
some information in some problem-dependent subroutines.)
fem2d_navier_stokes_cavity
a library which
contains the user-supplied routines necessary to run
fem2d_navier_stokes on the cavity problem.
fem2d_navier_stokes_channel
a library which
contains the user-supplied routines necessary to run
fem2d_navier_stokes on the channel problem.
fem2d_navier_stokes_inout
a library which
contains the user-supplied routines necessary to run
fem2d_navier_stokes on the inout problem.
fem2d_pack
a library which
implements simple 2D finite element calculations;
fem2d_poisson
a program which
uses the finite element method to solve
Poisson's equation on an arbitrary triangulated region in 2D;
(The user supplies
some information in some problem-dependent subroutines.)
fem2d_poisson_ell
a library which
defines the geometry of an L-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by
fem2d_poisson as part of a solution procedure.
fem2d_poisson_lake
a library which
defines the geometry of a lake-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by
fem2d_poisson as part of a solution procedure.
fem2d_poisson_rectangle
a program which
solves the 2D Poisson equation on a rectangle,
using the finite element method,
and piecewise quadratic triangular elements.
fem2d_poisson_rectangle_linear
a program which
solves the 2D Poisson equation on a rectangle,
using the finite element method,
and piecewise linear triangular elements.
fem2d_poisson_sparse
a program which
uses the finite element method to solve
Poisson's equation on an arbitrary triangulated region in 2D;
(This is a version of fem2d_poisson which replaces
the banded storage and direct solver by a sparse storage format
and an iterative solver.)
fem2d_poisson_sparse_ell
a library which
defines the geometry of an L-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by
fem2d_poisson_sparse
as part of a solution procedure.
fem2d_poisson_sparse_lake
a library which
defines the geometry of a lake-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by
fem2d_poisson_sparse
as part of a solution procedure.
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.
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.
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.
fem2d_stokes
a program which
uses the finite element method to solve
the steady incompressible Stokes equations
on an arbitrary triangulated region in 2D;
The user supplies
some information in some problem-dependent subroutines.
fem2d_stokes_cavity
a library which
contains the user-supplied routines necessary to run fem2d_stokes
on the "cavity" problem.
fem2d_stokes_channel
a library which
contains the user-supplied routines necessary to run fem2d_stokes
on the "channel" problem.
fem2d_stokes_inout
a library which
contains the user-supplied routines necessary to run fem2d_stokes
on the "inout" problem.
fem3d_pack
a library which
contains utilities for 3D finite element calculations.
fem3d_project
a program which
projects a function F(X,Y,Z), given as a data, into a given finite element space
of piecewise linear tetrahedral elements.
fem3d_sample
a program library which
evaluates a finite element function defined on a 3D tetrahedral mesh.
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.
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.
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.
fft_openmp
a program which
demonstrates the computation of a Fast Fourier Transform
in parallel, using OpenMP.
fft_serial
a program which
computes a Fast Fourier Transform, and is intended as
a starting point for implementing an OpenMP parallel version.
fftpack5
a library which
computes Fast Fourier transforms
by Paul Swarztrauber and Dick Valent;
fftpack5.1
a library which
contains version 5.1 of the FFTPACK
Fast Fourier Transform package,
using single precision arithmetic,
by Paul Swarztrauber and Dick Valent;
fftpack5.1d
a library which
contains version 5.1 of the FFTPACK
Fast Fourier Transform package,
using double precision arithmetic,
by Paul Swarztrauber and Dick Valent;
fftw3
programs which
illustrate the use of the FFTW3 Fast Fourier Transform package,
by Matteo Frigo and Steven Johnson.
file_merge
a program which
merges two sorted files.
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.
file_row_reverse
a program which
makes a copy of a file with the lines listed in reverse order.
file_transpose
a program which
makes a "transposed" copy of a file, in which the I-th word of the J-th line
becomes the J-th word of the I-th line.
files_multiple
a program which
demonstrates how a program can open multiple output files at one time,
and write data to any one specific file it chooses.
filum
a library which
performs various operations on files;
fixcon
a program which
converts FORTRAN77 continuation statements to the FORTRAN90 format;
flow3
a program which
uses the finite element method
to solve the steady incompressible Navier Stokes equations in 2D;
flow5
a program which
uses the finite element method
to solve the steady incompressible Navier Stokes equations in 2D;
floyd
a library which
implements Floyd's algorithm for finding the shortest distance between pairs of
nodes on a directed graph.
fn
a library which
evaluates elementary and special functions,
by Wayne Fullerton.
football
a program which
ranks football teams based on scores;
frieze
a program which
demonstrates how to map a pattern
repeatedly into a (distorted) 2D region to create a sort of
wallpaper;
g95_intrinsics
programs which
illustrate the use of some of the intrinsic functions
included by the GNU G95 compiler, above and beyond those
specified in the FORTRAN language standards.
g95_quadmath
a program which
illustrates the use of quadruple precision real arithmetic,
as provided on some systems by the G95 compiler for FORTRAN90.
gdb
an example directory of programs which
illustrate the use of the GNU debugger program
on a FORTRAN90 program;
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.
gen_laguerre_rule
a program which
computes and writes out a generalized Gauss-Laguerre quadrature rule of given order
and parameter value.
gene_cluster
a program which
clusters sets of genetic expression data;
geometry
a library which
performs 2D/3D geometric calculations;
geompack
a library which
determines the Delaunay triangulation of 2D data,
by Barry Joe.
geompack2
a library which
computes the Delaunay triangulation of 2D data,
by Barry Joe.
geompack3
a library which
performs Delaunay triangulation for 3D data,
by Barry Joe.
getwgt
a library which
estimates the parameters of a Dirichlet mixture.
gfortran
programs which
investigate the use of the Gnu gfortran compiler with FORTRAN90 code.
gfortran_intrinsics
a program which
illustrates the use of some of the intrinsic functions
included by the Gnu gfortran compiler, above and beyond those
specified in the FORTRAN language standards.
gfortran_quadmath
a program which
illustrates the use of quadruple precision real arithmetic,
as provided on some systems by the Gnu gfortran compiler for FORTRAN90.
gm_rule
a library which
defines Grundmann-Moeller quadrature rules for an M-dimensional simplex.
gnufor
a library which
provides an interface between a FORTRAN90 program and
the gnuplot graphics library.
gprof
programs which
illustrate the use of the gprof program performance monitor;
grafpack
a library which
performs calculations on graphs;
graph_paper
a library which
makes PostScript (PS) graph paper;
graphics_examples
programs which
illustrate how various kinds of data can be displayed and analyzed graphically.
grf_io
a library which
reads or writes a GRF file which displays a mathematical graph;
grf_to_eps
a program which
converts a 2D graphics file from GRF format to
Encapsulated PostScript (EPS) format;
grf_to_xyl
a program which
converts information describing an abstract graph from
GRF to XYL format.
grid
a library which
computes N random points on an M-dimensional uniform grid;
grid_dataset
a program which
creates a uniform grid dataset;
haar
a library which
computes the Haar transform of data.
halton
a library which
computes elements of the Halton M-dimensional quasirandom sequence;
halton_dataset
a program which
creates a Halton quasirandom dataset;
hammersley
a library which
computes elements of the Hammersley
M-dimensional quasirandom sequence;
hammersley_dataset
a program which
creates a Hammersley quasirandom dataset;
hb_io
a library which
reads and writes files in the Harwell Boeing (HB) sparse matrix format;
hb_to_st
a program which
reads a sparse matrix in a Harwell Boeing (HB) file and
writes an equivalent Sparse Triplet (ST) file.
heat_mpi
a program which
solves the 1D time dependent heat equation using MPI.
heated_plate
a program which
solves the steady state heat equation in a 2D
rectangular region, and is intended as
a starting point for implementing an OpenMP parallel version.
heated_plate_openmp
a program which
solves the steady (time independent) heat equation in a 2D
rectangular region, using OpenMP to run in parallel.
heated_plate_workshare
a program which
solves the steady (time independent) heat equation in a 2D
rectangular region, using OpenMP's workshare directive to run in parallel;
the results suggest that workshare is not supported by the
gfortran and ifort compilers!
hello_mpi
a program which
prints out "Hello, world!" using MPI for parallel programming.
hello_openmp
a program which
prints out "Hello, world!" within the OpenMP parallel programming
environment.
hermite
a library which
computes the Hermite interpolant, a polynomial that matches function values
and derivatives.
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.
hermite_polynomial
a library which
evaluates the physicist's Hermite polynomial, the probabilist's Hermite polynomial,
the Hermite function, and related functions.
hermite_rule
a program which
computes and writes out a Gauss-Hermite quadrature rule of given order.
hex_grid
a library which
defines a hexagonal grid of points in
the unit square.
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 dataset,
using the hex_grid library;
hex_grid_triangulate
a program which
finds the points on a hex grid that
lie inside a given triangulation region.
i4lib
a library which
contains many utility routines, using single precision integer (I4)
arithmetic.
i8lib
a library which
contains many utility routines, using double precision integer (I8)
arithmetic.
ice_io
a library which
reads or writes ICE grid files stored in netcdf format.
ice_to_mesh
a program which
reads a netcdf file containing an ICE dataset and rewrites the
information as a MESH file.
ieee_uniform
a library which
tries to uniformly sample the discrete set of values that represent the
legal IEEE real numbers;
ihs
a library which
implements the Improved Distributed Hypercube
Sampling method, regarded as a quasirandom M-dimensional sequence;
ihs_dataset
a program which
creates an Improved Distributed Hypercube Sampling dataset;
image_components
a library which
seeks the connected nonzero or nonblack components of an image or integer array.
image_denoise
a library which
applies simple filtering operations to a noisy image.
image_edge
a library which
demonstrates a simple procedure for edge detection in images.
include_files
a program which
reads a FORTRAN90 file with INCLUDE
statements, and makes a copy in which the indicated files have
been included;
index
a library which
converts a multidimensional vector index to a one-dimensional vector index;
it can handle zero and one based indexing schemes, as well as column major
and row major conventions.
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.
integral_test
a program which
tests the use of quasirandom points (or
any set of points) to approximate an M-dimensional integral;
interp
a library which
can be used for parameterizing and interpolating data;
intlib
a library which
carries out approximate integration (quadrature) in
one dimension;
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.
ising_3d_simulation
a program which
simulates the evolution of a 3D array of positive and negative charges,
each of which is likely to flip to be in agreement with neighbors.
ivread
a program which
carries out 3D graphic file conversion;
jacobi_polynomial
a library which
evaluates the Jacobi polynomial and associated functions.
jacobi_rule
a program which
computes and writes out a Gauss-Jacobi quadrature rule of given order.
jbar
a program which
reads a data file and creates a bar graph.
keast
a library which
defines Keast quadrature rules in a tetrahedron;
kmeans
a library which
handles the K-Means problem,
which organizes a set of N points in M dimensions into K clusters;
kmedian
a program which
handles the K-Median problem;
kronrod
a library which
can compute a Gauss and Gauss-Kronrod pair of quadrature rules
of arbitrary order,
by Robert Piessens, Maria Branders.
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)).
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).
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).
lagrange_interp_nd
a library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data depending on a multidimensional argument
that was evaluated on a product grid,
so that p(x(i)) = z(i).
laguerre_polynomial
a library which
evaluates the Laguerre polynomial, the generalized Laguerre polynomials,
and the Laguerre function.
laguerre_rule
a program which
computes and writes out a Gauss-Laguerre quadrature rule of given order.
lambert
a library which
computes the Lambert quasirandom
sequence in 1D, 2D, 3D and 4D.
lapack_examples
a program which
demonstrates the use of the LAPACK linear algebra library.
lapack_examples_osx
a program which
demonstrates the use of the precompiled LAPACK linear algebra library available
on Macintosh OSX systems, using the "-framework veclib" compiler option.
latin_center
a library which
produces N points in an M-dimensional Latin Center Hypercube.
latinize
a library which
adjusts N points in M dimensions to form a Latin hypercube.
lattice_rule
a library which
returns lattice rules for M-dimensional integration;
lau_np
a library which
implements heuristic algorithms for NP-hard problems.
laupack
a library which
carries out various operations on graphs.
lawson
a library which
contains routines for solving least squares problems and singular value
decompositions, by Lawson and Hanson.
lcvt
a library which
creates a sort of Latin Square Centroidal Voronoi Tessellation (CVT);
lcvt_dataset
a program which
creates a
Latin Square Centroidal Voronoi Tessellation (CVT) dataset
legendre_polynomial
a library which
evaluates the Legendre polynomial and associated functions.
legendre_rule
a program which
computes and writes out a Gauss-Legendre quadrature rule of given order.
legendre_rule_fast
a program which
uses a fast (order N) algorithm to compute a Gauss-Legendre quadrature rule.
linpack_bench
a program which
carries out the LINPACK benchmark;
linpack
a library which
solves linear systems for a variety of matrix storage schemes,
real or complex arithmetic, and single or double precision.
It includes a routine for computing 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.
linpack_c
a library which
factors and solves linear systems
using single precision complex arithmetic,
by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
linpack_d
a library which
factors and solves linear systems using double precision real arithmetic,
by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
linpack_s
a library which
factors and solves linear systems using single precision real arithmetic,
by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
linpack_z
a library which
factors and solves linear systems
using double precision complex arithmetic,
by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
linplus
a library which
factors/solves/multiplies matrices in
a variety of storage formats;
llsq
a library which
solves the simple linear least squares 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.
lyness_rule
a library which
returns Lyness-Jespersen quadrature rules for the triangle;
machar
a library which
dynamically computes the values of various machine characteristic constants
by William Cody;
machine
a library which
returns tabulated values of
the constants associated with computer arithmetic;
makefiles
programs which
illustrate the use of makefiles for maintaining a software
project;
mandelbrot
a program which
generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot set;
mandelbrot_openmp
a program which
generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot fractal set,
using OpenMP for parallel execution;
mass
a program which
verifies the computation of the mass matrix for a finite element
calculation for a fluid flow problem;
matmul
a program which
carries out a matrix multiplication benchmark;
matrix_exponential
a library which
demonstrates some simple approaches to the problem of computing the
exponential of a matrix;
md
a program which
carries out a molecular dynamics simulation, and is intended as
a starting point for implementing an OpenMP parallel version;
md_openmp
a program which
carries out a molecular dynamics simulation in parallel using OpenMP;
md1
a program which
carries out a simple molecular dynamics simulation;
md2
a program which
carries out a simple molecular dynamics simulation;
md3
a program which
carries out a simple molecular dynamics simulation;
md3glue
a program which
carries out a simple molecular dynamics simulation;
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 M dimensions.
mesh_io
a library which
can read or write MESH files, which can be used to define the geometry
of a finite element mesh in 2D or 3D, using triangles, quadrilaterals,
tetrahedrons or hexahedrons.
mesh_to_ice
a program which
reads the ICE dataset information from a MESH files and rewrites
it to a netcdf file.
meshless
a library which
computes a meshless grid by centroidal
Voronoi computations;
mgmres
a library which
applies the restarted GMRES algorithm to a sparse linear system,
by Lili Ju;
mgs
a library which
is an example of legacy code, which the student is encouraged to
study, understand, and document, by Diane O'Leary.
mhd_control
a program for the control of magnetic-hydrodynamic (MHD)
viscous 2d time-dependent fluid flow;
mhd_flow
a program for magnetic-hydrodynamic (MHD) viscous 2d
time-dependent fluid flow;
minpack
a library which
solves linear and nonlinear least squares problems.
mixed
programs which
illustrate the used of mixed language programming in which the main
program is written in FORTRAN90;
mixture
a program which
simulates a process governed by a Dirichlet mixture distribution.
mm_io
a library which
reads or writes sparse matrices that use the
Matrix Market (MM) sparse matrix file format.
module_mark
a program which
replaces bare "end" statements by "end (module name)" statements
in a FORTRAN90 file.
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.
movie_data_reformat
a program which
reformats movie data, copied from "the numbers" movie data web page,
into a comma separated variable (CSV) format suitable for input
to a statistical analysis package such as "R".
mpi
programs which
illustrate the use of the message passing interface (MPI)
for parallel processing on distributed memory systems;
mpi_stubs
a library which
contains stub version of standard
MPI routines, which may be used if a
parallel program is to be compiled, loaded and run in a
serial machine.
multigrid_poisson_1d
a library which
applies the multigrid method to a discretized version of the
1D Poisson equation.
multitask_mpi
a program which
demonstrates how to multitask, that is, to execute several unrelated
and distinct tasks simultaneously, using MPI for parallel execution.
multitask_openmp
a program which
demonstrates how to multitask, that is, to execute several unrelated
and distinct tasks simultaneously, using OpenMP for parallel execution.
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.
mxm_openmp
a program which
computes a dense matrix product C=A*B,
using OpenMP for parallel execution.
mxm_serial
a program which
sets up a matrix multiplication problem A=B*C,
intended as a starting point for implementing a parallel version.
mxv
a program which
compares the performance of (do i, do j) loops, (do j, do i) loops,
and MATMUL for computing the product of an MxN matrix A and an N vector X.
mxv_openmp
a program which
compares the performance of plain vanilla Fortran and the FORTRAN90
intrinsic routine matmul(), for the matrix multiplication problem
y=A*x, with and without parallelization by OpenMP.
nas
a program which
runs the NASA kernel benchmark.
nast2d_f90
a program which
solves the 2D Navier-Stokes equations,
with heat; this is a FORTRAN90 version of a program by
Griebel, Dornseifer, and Neunhoeffer;
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;
nearest_interp_1d
a library which
interpolates a set of data using a piecewise constant interpolant
defined by the nearest neighbor criterion.
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;
netcdf
a directory of example programs which
read and write netcdf files.
niederreiter
a library which
computes elements of the Niederreiter
quasirandom M-dimensional sequence, using an arbitrary base;
niederreiter2
a library which
computes elements of the Niederreiter
quasirandom M-dimensional sequence, using base 2;
niederreiter2_dataset
a program which
creates a Niederreiter quasirandom dataset with base 2;
nint_exactness
a program which
tests the polynomial
exactness of a M-dimensional quadrature rule
defined over a finite rectangular product region.
nint_exactness_mixed
a program which
measures the polynomial exactness of a M-dimensional quadrature rule
based on a mixture of 1D quadrature rule factors.
nintlib
a library which
carries out approximate integration (quadrature)
in M dimensions;
nl2sol
a library which
implements an adaptive nonlinear least squares algorithm,
by John Dennis, David Gay, Roy Welsch.
nms
a library which
accompanies the text "Numerical Methods and Software";
normal
a library which
computes elements of a pseudorandom sequence of normally distributed values;
normal_dataset
a program which
creates a multivariate normal random dataset;
nsasm
a library which
computes the jacobian matrix associated
with a finite element approximation of the incompressible
steady (time independent) Navier-Stokes equations in 2D, and to store these as
a sparse matrix.
nswc
a library which
includes an extensive set of routines for a wide range of computational
activities, compiled by Alfred Morris.
obj_io
a library which
reads and writes the 3D graphics information
in an Alias OBJ file;
ode
a library which
solves a system of ordinary differential equations,
by Shampine and Gordon;
openmp
programs which
illustrate the use of OpenMP for parallel execution;
openmp_stubs
a library which
is a dummy implementation of the OpenMP routines,
and can be used to compile, load, and run a program using OpenMP on a
system which does not have OpenMP installed.
optimize
a program which
looks at the use of automatic optimization by the compiler
to make the executable code run faster.
owens
a library which
evaluates Owen's T function;
paranoia
a program which
checks the accuracy of floating point arithmetic on a given computer.
partial_digest
a library which
solves the partial digest problem;
partition_problem
a library which
seeks solutions of the partition problem, splitting a set of integers into
two subsets with equal sum.
patterson_rule
a program which
looks up and writes out a Gauss-Patterson quadrature rule of given order.
pblas
a library which
embodies the Parallel Basic Linear Algebra Subprograms (PBLAS).
pbma_io
a library which
reads or writes ASCII Portable Bit Map (PBM) 2D graphics files;
pbmlib
a library which
reads or writes
graphics files in the Portable Bit Map (PBM) format;
pce_burgers
a program which
defines and solves a version of the time-dependent viscous Burgers equation,
with uncertain viscosity,
using a polynomial chaos expansion in terms of Hermite polynomials,
by Gianluca Iaccarino.
pce_ode_hermite
a program which
sets up a simple scalar ordinary differential equation (ODE) for exponential decay
with an uncertain
decay rate, using a polynomial chaos expansion in terms of Hermite polynomials.
pdb_extract
a program which
can select records from a Protein Data Base (PDB) file
and extract columns from those records;
pdb_read
a library which
reads a Protein Data Base (PDB) file;
pdb_to_xyz
a program which
copies the coordinates from the
ATOM records of a Protein Data Base (PDB) file into an XYZ file;
pgma_io
a library which
reads or writes ASCII Portable Gray Map (PGM) 2D graphics files;
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).
pink_noise
a library which
computes a pink noise signal obeying a 1/f power law.
pitcon7
a library which
seeks to produce a sequence of points that satisfy a set of nonlinear
equations with one degree of freedom;
this is version 7.0 of ACM TOMS algorithm 596.
plot_points
a program which
can plot points, or the Delaunay triangulation or Voronoi diagram;
plot_to_ps
a program which
reads simple text commands and creates a PostScript (PS) image;
plot3d_io
a library which
reads or writes a plot3d file;
plot3d_to_avs
a program which
reads flow data from plot3d files and
writes the data to files suitable for input to the AVS graphics
system.
pod_basis_flow
a program which
uses POD techniques
to extract a small set of representative behaviors from a large
set of solutions of a partial differential equation (PDE) involving fluid flow;
point_merge
a library which
considers N points in M-dimensional space, and counts or indexes
the unique or tolerably unique items.
poisson_openmp
a program which
computes an approximate solution to the Poisson equation in a rectangle,
using the Jacobi iteration to solve the linear system, and OpenMP to
carry out the Jacobi iteration in parallel.
poisson_serial
a program which
computes an approximate solution to the Poisson equation in a rectangle,
and is intended as the starting point for the creation of a parallel version.
poisson_simulation
a library which
simulates a Poisson process in which events randomly occur with an
average waiting time of Lambda.
polpak
a library which
evaluates a variety of mathematical functions, including
Chebyshev, Gegenbauer, Hermite, Jacobi, Laguerre, Legendre polynomials,
and the Collatz sequence.
poly_io
a library which
reads and writes POLY files;
polygon_moments
a library which
computes arbitrary moments of a polygon.
power_method
a library which
carries out the power method for finding a dominant eigenvalue
and its eigenvector.
power_rule
a program which
constructs a power rule, that is, a product quadrature rule
from identical 1D factor rules.
ppma_io
a library which
reads or writes ASCII Portable Pixel Map (PPM) 2D color graphics files;
ppma_to_ppmb
a program which
converts an ASCII Portable Pixel Map (PPM) file to a
binary PPM file;
pppack
a library which
computes piecewise polynomial interpolants and approximants,
in particular, cubic splines,
by Carl DeBoor.
praxis
a library which
minimizes a scalar function of several variables, without
requiring derivative information,
by Richard Brent.
prime_mpi
a program which
counts the number of primes between 1 and N,
using MPI for parallel execution.
prime_openmp
a program which
counts the number of primes between 1 and N,
using OpenMP for parallel execution.
prime_serial
is a program which
counts the number of primes between 1 and N,
and is intended as a starting point for a parallel version.
prob
a library which
evaluates probability density functions;
product_rule
a program which
creates an M-dimensional quadrature rule
from a product of distinct 1d quadrature rules;
ps_gg_align
a library which
implements a profile/sequence global alignment method using an affine gap penalty.
ps_lg_align
a library which
implements a profile/sequence local alignment method using an affine gap penalty.
ps_qg_align
a library which
implements a profile/sequence quasiglobal alignment method using an affine gap penalty.
ps_write
a library which
creates a PostScript (PS) file of line drawings;
puzzles
executable programs which
solve simple puzzles;
pwl_approx_1d
a library which
approximates a set of data using a piecewise linear function.
pwl_interp_1d
a library which
interpolates a set of data using a piecewise linear function.
pwl_interp_2d
a library which
evaluates a piecewise linear interpolant to data defined on
a regular 2D grid.
pwl_interp_2d_scattered
a library which
evaluates a piecewise linear interpolant to data which is available
at an irregularly arranged set of points.
pyramid_exactness
a program which
investigates the polynomial exactness of a quadrature rule for the pyramid.
pyramid_rule
a program which
computes a quadrature rule for a pyramid.
qr_solve
a library which
computes the least squares solution of a linear system A*x=b.
quad_mesh
a library which
handles meshes of quadrilaterals over a 2D region;
quad_mesh_rcm
a program which
computes the Reverse Cuthill McKee (RCM) reordering for nodes in a mesh of 4-node
quadrilaterals.
quad_mpi
a program which
applies a quadrature rule to estimate an integral, using MPI;
quad_openmp
a program which
applies a quadrature rule to estimate an integral over a 1D interval,
using OpenMP for parallel execution;
quad_serial
a program which
applies a quadrature rule to estimate an integral,
intended as a starting point for parallelization exercises.
quad2d_openmp
a program which
applies a product quadrature rule to estimate an integral over a 2D rectangle,
using OpenMP for parallel execution;
quad2d_serial
a program which
applies a product quadrature rule to estimate an integral over a 2D rectangle,
intended as a starting point for parallelization exercises.
quadpack
a library which
approximates integrals of various types
over finite, semi-infinite and infinite one dimensional intervals;
quadrature_test
a program which
reads the definition of a
M-dimensional quadrature rule from three files, applies
the rule to a number of test integrals, and prints the
results.
quadrature_test_2d
a program which
reads the definition of a 2D quadrature rule from
three files, applies the rule to a number of test integrals, and
prints the results.
quadrature_test_genz
a program which
reads the definition of a
M-dimensional quadrature rule from three files, applies
the rule to the Genz test integrals, and prints the
results. This is a version of quadrature_test that
is restricted to the Genz problems.
quadrature_weights
a library which
illustrates techniques for computing the weights of a quadrature
rule, assuming that the points have been specified.
quadrule
a library which
implements rules for approximate integration (quadrature) in one dimension;
quality
a library which
computes quality of distribution measures for pointsets in M dimensions;
quote
a program which
prints a random quote from a file;
r16_hermite_rule
a program which
can compute and print a Gauss-Hermite quadrature rule, using
quadruple precision real (R16) arithmetic.
r16_int_exactness_gen_hermite
a program which
tests the polynomial exactness of generalized Gauss-Hermite quadrature
rules, using quadruple precision real (R16) arithmetic.
r16lib
a library which
contains many utility routines, using
quadruple precision real (R16) arithmetic.
r4lib
a library which
contains many utility routines, using
single precision real (R4) arithmetic.
r8lib
a library which
contains many utility routines, using
double precision real (R8) arithmetic.
randlc
a library which
generates a sequence of pseudorandom numbers,
used by the NAS Benchmark programs.
random_data
a library which
generates sample points for various
probability distributions, spatial dimensions, and geometries;
random_mpi
a program which
demonstrates one way to generate the same sequence of random numbers
for both sequential execution and parallel execution under MPI.
random_openmp
a program which
illustrates how a parallel program using OpenMP can generate multiple
distinct streams of random numbers.
random_write
a program which
creates a very large file of 32 bit integers, for input to the
diehard program, which can apply statistic tests for randomness.
ranmap
a program which
creates a PostScript (PS) file
of images of iterated affine mappings;
rbf_interp_1d
a library which
defines and evaluates radial basis function (RBF) interpolants to 1D data.
rbf_interp_2d
a library which
defines and evaluates radial basis function (RBF) interpolants to 2D data.
rbf_interp_nd
a library which
defines and evaluates radial basis function (RBF) interpolants to multidimensional data.
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;
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."
read_align
a program which
extracts data from a multiple alignment file for sequences and
writes the data to a file suitable for input to the distances program.
real_precision
programs which
investigate the occasionally awkward methods for requesting
a real data type with given precision. This is the preferred
method for requesting double or quadruple precision arithmetic;
reformat
a program which
makes a copy of a data file with
a given number of items per line;
region
a library which
reads 3D MRI voxel data, and groups the voxels into connected regions;
regression
a library which
handles problems in linear regression.
rejoin
a library which
demonstrates a way to split or merge data files
for parallel computations.
ring_mpi
a program which
uses the MPI parallel programming environment, and measures the time
necessary to copy a set of data around a ring of processes.
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.
rkf45
a library which
applies a Runge-Kutta-Fehlberg (RKF) solver to a system of
ordinary differential equations (ODE's);
roc
a program which
computes the Receiver Operator Characteristic (ROC);
sandia_cubature
a library which
implements quadrature rules for certain M-dimensional regions
and weight functions.
sandia_cvt
a program which
positions a given number of points in an
arbitrary region, using probabilistic centroidal Voronoi tessellation
techniques to achieve good coverage and separation; developed
for Sandia National Laboratories;
sandia_rules
a library which
can produce a standard 1D Gauss quadrature rule of
Chebyshev, Gegenbauer, generalized Hermite, generalized Laguerre, Hermite,
Jacobi, Laguerre, and Legendre types.
sandia_sgmgg
a library which
explores a generalized construction method for sparse grids.
sandia_sparse
a library which
can produce an M-dimensional 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.
satisfy
a program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfiability problem.
satisfy_mpi
a program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfiability problem,
using MPI to perform the calculation in parallel.
satisfy_openmp
a program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfiability problem,
using OpenMP for parallel execution.
scalapack
a directory of example programs for
SCALAPACK, which carries out linear algebra algorithms
on parallel systems.
schedule_openmp
a program which
demonstrates the default, static, and dynamic methods of scheduling
loop iterations in OpenMP to avoid work imbalance.
sde
a library which
illustrates the properties of stochastic differential equations (SDE's), and
common algorithms for their analysis,
by Desmond Higham;
search_mpi
a program which
searches integers between A and B for a solution J such that F(J)=C,
carried out in parallel using MPI.
search_serial
a program which
searches the integers from A to B for a value J such that F(J) = C.
this version of the program is intended as a starting point for
a parallel approach.
select
a library which
carries out Nijenhuis and Wilf's generalized
combinatorial selection algorithm;
sequence
a program which
reads a numeric sequence with missing values,
and fills in the missing values.
set_theory
a library which
demonstrates various set theoretic operations using several models of a set.
sftpack
a library which
implements the "slow" Fourier transform, intended as a teaching
tool and comparison with the fast Fourier transform.
sgefa_openmp
a program which
compares a standard linear algebra solver against a revised version
which can be run in parallel with OpenMP.
sgmga
a library which
creates sparse grids based on a mixture of 1D quadrature rules,
allowing anisotropic weights for each dimension.
shallow_water_1d
a program which
simulates the evolution of a 1D fluid governed by the
time-dependent shallow water equations.
shepard_interp_1d
a library which
defines and evaluates Shepard interpolants to 1D data,
based on inverse distance weighting.
shepard_interp_2d
a library which
defines and evaluates Shepard interpolants to 2D data,
based on inverse distance weighting.
shepard_interp_nd
a library which
defines and evaluates Shepard interpolants to multidimensional data,
based on inverse distance weighting.
simplex_coordinates
a library which
computes the Cartesian coordinates of the vertices of a regular
simplex in M dimensions.
sine_transform
a library which
demonstrates some simple properties of the discrete sine transform.
slatec
a library which
contains a huge collection of scientific algorithms;
sobol
a library which
evaluates the Sobol quasirandom M dimensional sequence,
by Bennett Fox.
sobol_dataset
a program which
creates a Sobol quasirandom dataset;
spacer
a program which
reads a file containing a distance matrix and performs a
principal component analysis.
spacer_data_convert
a program which
reads a text file of distances, and reformats it for use with
spacer.
spaeth
a library which
performs the cluster analysis of data;
spaeth2
a library which
performs the cluster analysis of data;
sparse_grid_cc
a library which
creates sparse grids based on Clenshaw-Curtis rules.
sparse_grid_cc_dataset
a program which
creates a sparse grid dataset based on Clenshaw-Curtis rules.
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_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.
sparse_grid_laguerre
a library which
creates sparse grids based on Gauss-Laguerre rules.
sparse_grid_mixed
a library which
creates sparse grids based on a mixture of 1D quadrature rules.
sparse_grid_mixed_dataset
a program which
creates a sparse grid dataset based on a mixture of 1D rules.
sparse_grid_open
a library which
creates sparse grids based on
open rules (Fejer 2, Gauss-Patterson, Newton-Cotes-Open).
sparse_grid_open_dataset
a program which
creates a sparse grid dataset based on
open rules (Fejer 2, Gauss-Patterson, Newton-Cotes-Open).
sparse_grid_pure
a library which
can analyze and create sparse grids in which a single family
of 1D quadrature rules is used for all spatial dimensions.
sparse_interp_nd
a library which
can be used to define a sparse interpolant to a function f(x) of a
multidimensional argument.
sparsekit
a library which
performs sparse matrix operations, by Yousef Saad;
sparsepak
a library which
forms an obsolete version of the Waterloo Sparse Matrix Package;
specfun
a library which
computes special functions, including Bessel I, J, K and Y functions,
and the Dawson, E1, EI, Erf, Gamma, Psi/Digamma functions,
by William Cody and Laura Stoltz;
special_functions
a library which
computes special functions,
by Shanjie Zhang, Jianming Jin;
sphere_cvt
a program which
generates a mesh of well-separated points on the unit sphere using
Centroidal Voronoi Tessellation (CVT) ideas.
sphere_delaunay
a program which
reads a file containing the coordinates of points on the unit sphere,
computes the Delaunay triangulation,
and outputs a PostScript (PS) file of the image;
sphere_design_rule
a library which
defines spherical designs for quadrature on the sphere;
sphere_exactness
a program which
tests the polynomial exactness of a quadrature rule for the unit sphere;
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, over the unit sphere.
sphere_lebedev_rule
a library which
computes Lebedev quadrature rules for the unit sphere;
sphere_monte_carlo
a library which
applies a Monte Carlo method to estimate the integral of a function
over the surface of the unit sphere in 3D;
sphere_quad
a library which
approximates an integral over the surface of the unit sphere
by applying a triangulation to the surface;
sphere_stereograph
a library which
computes the stereographic mapping between points on the unit sphere
and points on the plane Z = 1; a generalized mapping is also available.
sphere_triangle_monte_carlo
a library which
estimates the integral of a function over a spherical triangle using
the Monte Carlo method.
sphere_triangle_quad
a library which
estimates the integral of a function over a spherical triangle using quadrature.
sphere_voronoi
a program which
reads a file containing the coordinates of points on the unit sphere,
computes the Voronoi diagram,
and outputs a PostScript (PS) file of the image;
spiral_data
a program which
returns sample values of a velocity
vector field that satisfies the continuity equation;
spline
a library which
interpolates and approximates via splines;
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.
spring_ode2
a program which
shows how gnuplot graphics can be used to illustrate
a solution of the ordinary differential equation (ODE) that describes
the motion of a weight attached to a spring.
ss_gd_align
a library which
carries out a sequence-to-sequence global alignment using a distance matrix.
ss_gg_align
a library which
carries out a sequence-to-sequence global alignment using an affine gap penalty.
ss_lg_align
a library which
carries out a sequence-to-sequence local alignment using an affine gap penalty.
ss_qg_align
a library which
carries out a sequence-to-sequence quasi-global alignment using an affine gap penalty.
st_io
a library which
reads and writes sparse linear systems stored in the Sparse Triplet (ST) format.
st_to_dsp
a program which
converts a sparse matrix file from Sparse Triplet (ST) format (zero-based indices) to
DSP format (one-based indices);
st_to_hb
a program which
converts a sparse matrix file from Sparse Triplet (ST) format to
Harwell Boeing (HB) format;
starpac
a library which
carries out statistical data analysis.
steam
a library which
is based on the National Bureau of Standards (NBS) steam table package;
steam_interact
a program which
queries the National Bureau of Standards (NBS) steam table package;
stla_io
a library which
reads and writes the 3D graphics information
in an ASCII stereolithography (STL) file;
stochastic_rk
a library which
applies a Runge-Kutta (RK) scheme to a stochastic differential equation (SDE).
string_simulation
a program which
simulates the behavior of a vibrating string.
stripack
a library which
computes Delaunay
triangulations and Voronoi diagrams on a sphere,
a version of ACM TOMS algorithm 772,
by Robert Renka.
stripack_interactive
a program which
reads a file of points on a sphere,
determines the Delaunay triangulation, and writes out a file
describing the triangulation.
stripper
a program which
can perform a variety of file modifications such as
capitalization, removal of control characters, and so on;
stroud
a library which
defines rules for numerical integration (quadrature)
over M-dimensional regions, including spheres, toruses and
other shapes;
subanagram
a program which
finds words which are anagrams formed from some of the letters
of a given master word.
subpak
a library which
implements a wide variety of operations
on real and integer vectors and matrices;
subset
a library which
ranks, unranks, and generates random
subsets, combinations, permutations, and so on;
subset_sum
a program which
seeks solutions of the subset sum problem.
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 (SVD) to a collection of data vectors,
extracting dominant modes;
svd_basis_weight
a program which
applies the singular value decomposition (SVD) to a collection of weighted data vectors,
extracting dominant modes;
svd_demo
a program which
demonstrates the calculation
of the singular value decomposition (SVD) and some of its properties;
svd_truncated
a program which
demonstrates the computation of the reduced or truncated
Singular Value Decomposition (SVD) that is useful for cases when
one dimension of the matrix is much smaller than the other.
sweep2_delaunay_eps
a program which
makes an Encapsulated PostScript (EPS) plot from the Delaunay triangulation information
that is output by sweep2;
sweep2_voronoi_eps
a program which
makes an Encapsulated PostScript (EPS) plot of the Voronoi diagram information
that is output by sweep2;
table_barplot_ppma
a program which
reads a table file
of N rows of M numbers and makes a bar graph in the
ASCII Portable Pixel Map (PPM) file format;
table_border
a program which
reads a table file representing a 2D
array and adds a boundary layer of zero values.
table_columns
a program which
reads a table file of N points
in M dimensions and creates a new file by copying various
columns, with repetition and shuffling;
table_columns_permute
a program which
reads a table file
where each line has COL_NUM values, and permutes the columns
according to the user's prescription;
table_delaunay
a program which
reads a table file of N
points in 2 dimensions and writes out the Delaunay triangulation;
table_graph_code
a program which
reads a table file
representing the adjacency matrix of a graph, and computes the graph code.
table_histogram
a program which
reads a table file and histograms
each column.
table_io
a library which
reads and writes a set of data as a table file.
table_latinize
a program which
reads a table file of N points in
M dimensions and adjusts it 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_orthonormalize
a program which
reads a table file of N points in
M dimensions and orthonormalizes the columns;
table_quality
a program which
reads a table file of N points in
M dimensions and computes the uniformity of the placement of
the points;
table_record_match
a program which
reads a table file and seeks the
closest pair of records;
table_scale
a program which
reads a table file of N points in
M dimensions and creates a copy with every entry scaled by a
given scale vector.
table_shift
a program which
reads a table file
of N points in M dimensions, creates a copy with every entry shifted by a given
displacement vector.
table_stats
a program which
reads a table file of N points in M dimensions,
and prints statistics, such as the average, maximum, minimum, and range.
table_tet_mesh
a program which
reads a table file of N points in 3 dimensions and produces a tet mesh;
table_top
a program which
is given a table file of M-dimensional points, makes plots of all
coordinate pairs;
table_unborder
a program which
reads a table file representing a
2D array, and removes the boundary values.
table_uniform_noise
a program which
reads a table file of N points in
M dimensions, creates a copy with scaled uniform noise added
to each entry.
table_voronoi
a program which
reads a table file
of N points in 2 dimensions, calls geompack to get Delaunay
triangulation information, and then determines
and prints the Voronoi diagram information;
tanh_quad
a library which
sets up the tanh quadrature rule;
tanh_sinh_rule
a program which
computes and writes out a tanh-sinh quadrature rule of given order.
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.
tec_io
a library which
reads or writes a TECPLOT graphics file
of finite element information;
tec_to_fem
a program which
reads a TECPLOT graphics file
of finite element information and writes an equivalent
set of FEM files
(node coordinates/elements/node data);
tec_to_obj
a program which
reads a TECPLOT graphics file of finite element information and
writes an equivalent Alias OBJ graphics file;
tec_to_obj2
a program which
reads a TECPLOT graphics file
of finite element information and writes an equivalent
Alias OBJ file;
This is a minor revision of tec_to_obj, which
tries to handle multiple zones.
tec_write
a library which
writes a TECPLOT graphics file.
templates
a library which
forms basic implementations of
iterative methods for solving large sparse linear systems;
test_approx
a library which
implements test problems for approximation,
provided as a set of (x,y) data.
test_con
a library which
implements test problems for
numerical continuation.
test_eigen
a library which
implements test matrices for eigenvalue analysis.
test_int
a library which
implements test problems for
approximate integration (quadrature) in one dimension.
test_int_2d
a library which
implements test problems for
approximate integration (quadrature) in two dimensions.
test_int_hermite
a library which
defines test integrands for Hermite integrals with
interval (-oo,+oo) and weight exp(-x^2).
test_int_laguerre
a library which
implements test problems for
approximate integration over a semi-infinite interval.
test_interp
a library which
defines test problems for interpolation,
provided as a set of (x,y(x)) data.
test_interp_1d
a library which
defines test problems for interpolation of data y(x),
which depends on a 1D argument.
test_interp_2d
a library which
defines test problems for interpolation of data z(x,y),
depending on a 2D argument.
test_interp_nd
a library which
defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
test_ls
a library which
implements linear least squares test problems of the form A*x=b.
test_mat
a library which
implements test matrices.
test_matrix_exponential
a library which
defines a set of test cases for computing the matrix exponential.
test_mesh
a library which
implements some sample 2D meshes.
test_min
a library which
implements test problems for
minimization of a scalar function of a scalar variable.
test_nint
a library which
implements test problems for
approximate integration (quadrature) in M dimensions.
test_nls
a library which
implements nonlinear least squares test problems.
test_nonlin
a library which
implements test problems for the solution
of systems of nonlinear equations.
test_ode
a library which
implements tests for solvers of systems of
ordinary differential equations (ODE's).
test_opt
a library which
implements test problems for optimization
of a scalar function of several variables.
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.
test_optimization
a library which
implements test problems for optimization
of a scalar function of several variables,
as described by Molga and Smutnicki.
test_tet_mesh
a library which
implements test problems for
tetrahedralization or meshing of arbitrary regions in 3 dimensions.
test_tri_int
a library which
implements test functions for
integration over a triangle in 2 dimensions.
test_triangulation
a library which
implements test problems for
triangularization or meshing of arbitrary regions in 2 dimensions.
test_values
a library which
stores a small set of values for a
variety of mathematical functions, suitable for a rough test of
accuracy for algorithms.
test_zero
a library which
implements test problems for the solution
of a single nonlinear equation in one variable.
testpack
a program which
demonstrates the use of a set of test integrand functions chosen by Alan Genz.
tet_mesh
a library which
carries out various tasks associated with tetrahedral meshes in 3D;
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 TRI_SURFACE
files containing the nodes and elements defining this surface.
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
reads information about a tet mesh of points in 3D
and computes various quality measures;
tet_mesh_rcm
a program which
computes the Reverse Cuthill-McKee (RCM) reordering for the nodes
of a tet_mesh that uses 4-node or 10-node tetrahedrons;
tet_mesh_refine
a program which
refines all the tetrahedrons in 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;
tet_mesh_volumes
a program which
computes the volume of each tetrahedron in a tet mesh;
tetrahedron_exactness
a program which
tests the polynomial
exactness of a quadrature rule for the tetrahedron;
tetrahedron_grid
a library which
computes a grid of points inside a 3D tetrahedron.
tetrahedron_monte_carlo
a program which
uses the Monte Carlo method to estimate an integral over a tetrahedron.
tetrahedron_properties
a program which
prints out the properties of a tetrahedron
whose vertex coordinates are read from a file;
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.
tiler_2d
a program which
uses blending to map data into a 2D region;
tiler_3d
a program which
uses blending to map data into a 3D region;
timer
a library which
implements various real time and CPU time tests.
timestamp
a library which
prints the current YMDHMS date as a timestamp.
toeplitz
a library which
implements Toeplitz matrix system solvers.
toeplitz_cholesky
a library which
computes the Cholesky factorization of a nonnegative definite symmetric
Toeplitz matrix.
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 FORTRAN90 version of ACM TOMS algorithm 178.
toms179
a library which
calculates the incomplete Beta ratio,
by Oliver Ludwig;
this is a FORTRAN90 version of ACM TOMS algorithm 179.
toms291
a library which
approximates the logarithm of the Gamma function;
this is a FORTRAN90 version of ACM TOMS algorithm 291.
toms446
a library which
manipulates Chebyshev series for interpolation and approximation;
this is a FORTRAN90 version of ACM TOMS algorithm 446,
by Roger Broucke.
toms453
a library which
determines the abscissas and weights for a
Gaussian quadrature formula for Bromwich's integral;
this is a FORTRAN90 version of ACM TOMS algorithm 453.
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 FORTRAN90 version of ACM TOMS algorithm 462.
toms526
a library which
interpolates scattered bivariate data;
this is a FORTRAN90 version of ACM TOMS algorithm 526,
by Hiroshi Akima.
toms552
a library which
computes a solution of a constrained linear system.
of a scalar function,
this is a FORTRAN90 version of ACM TOMS algorithm 552;
toms611
a library which
implements unconstrained minimization
of a scalar function;
this is a FORTRAN90 version of ACM TOMS algorithm 611,
by David Gay.
toms647
a library which
evaluates the Faure, Halton, and Sobol quasirandom sequences;
this is a FORTRAN90 version of ACM TOMS algorithm 647;
toms655
a library which
computes the weights for interpolatory quadrature rule;
this library is commonly called IQPACK;
this is a FORTRAN90 version of ACM TOMS algorithm 655.
toms659
a library which
computes elements of the Sobol quasirandom sequence;
this is a FORTRAN90 version of ACM TOMS algorithm 659.
toms660
a library which
takes scattered data in 2D and creates an interpolating function F(X,Y),
called qshep2d;
this is a FORTRAN90 version of ACM TOMS algorithm 660,
by Robert Renka.
toms661
a library which
takes scattered data in 3D and creates an interpolating function F(X,Y,Z),
called qshep3d;
this is a FORTRAN90 version of ACM TOMS algorithm 661,
by Robert Renka.
toms672
a library which
generates an interpolatory quadrature rule of highest possible order,
given a set of preassigned abscissas;
this library is commonly called EXTEND;
this is a FORTRAN90 version of ACM TOMS algorithm 672.
toms708
a library which
evaluates the incomplete Beta function,
by Armido Didonato, Alfred Morris, Jr;
this is a FORTRAN90 version of ACM TOMS algorithm 708;
toms726
a library which
computes recursion coefficients for orthogonal polynomials,
and the abscissa and weights for related quadrature rules;
this library is commonly called ORTHPOL;
this is a FORTRAN90 version of ACM TOMS algorithm 726.
toms738
a library which
evaluates Niederreiter's quasirandom sequence;
this is a FORTRAN90 version of ACM TOMS algorithm 738;
toms757
a library which
evaluates uncommon special functions, by Allan McLeod.
this is a FORTRAN90 version of ACM TOMS algorithm 757;
toms790
a library which
computes an interpolating function to a set of scattered data in the plane;
this library is commonly called CSHEP2D;
by Robert Renka;
this is a FORTRAN90 version of ACM TOMS algorithm 790.
toms792
a library which
tests functions that interpolate scattered data in the plane;
by Robert Renka;
this is a FORTRAN90 version of ACM TOMS algorithm 792.
tri_surface_io
a library which
reads and writes the 3D graphics information
in a TRI_SURFACE file;
triangle_exactness
a program which
tests the polynomial exactness of a quadrature rule for triangles;
triangle_grid
a library which
computes a triangular grid of points.
triangle_histogram
a program which
computes histograms of data on the unit triangle.
triangle_monte_carlo
a program which
uses the Monte Carlo method to estimate an integral over a triangle.
triangle_properties
a program which
computes properties of a triangle
whose vertex coordinates are read from a file.
triangulation
a library which
computes, plots and manipulates the triangulation of a set of
points in 2D;
["triangulation_boundary_nodes/triangulation_boundary_nodes.h])
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_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 as a PostScript (PS) file;
triangulation_q2l
a program which
reads information about a 6-node triangulation and creates data
defining a corresponding 3-node triangulation;
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.
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 (RCM) reordering for the nodes
of a triangulation that uses 3-node or 6-node triangles;
triangulation_t3_to_t4
a program which
reads information about a 3-node triangulation and creates data
defining a corresponding 4-node triangulation (vertices + centroid);
["triangulation_triangle_neighbors/triangulation_triangle_neighbors.h])
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;
tripack
a library which
computes constrained Delaunay triangulation
in the plane, ACM TOMS algorithm 751,
by Robert Renka;
tsp_io
a library which
reads or writes files in the TSP format used for examples of
the traveling salesperson problem.
unicycle
a library which
considers permutations containing a single cycle, sometimes called cyclic permutations.
uniform
a library which
computes elements of a simple pseudorandom number sequence;
uniform_dataset
a program which
creates a uniform random dataset;
valgrind
programs which
illustrate the use of the VALGRIND suite of programs which includes
a memory leak detector.
van_der_corput
a library which
computes elements of
the van der Corput one-dimensional quasirandom sequence;
van_der_corput_dataset
a program which
creates a dataset of the van der Corput one-dimensional quasirandom sequence;
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.
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.
vandermonde_interp_1d
a library which
finds a polynomial interpolant to data y(x) of a 1D argument by setting up and
solving a linear system for the polynomial coefficients
involving the Vandermonde matrix.
vandermonde_interp_2d
a library which
finds a polynomial interpolant to data z(x,y) of a 2D argument by setting up and
solving a linear system for the polynomial coefficients
involving the Vandermonde matrix.
vec_io
a library which
reads and writes vectors
of fixed size, to and from a disk file, in any order;
vector_plot
a program which
creates a PostScript (PS) graphics file
containing an image of a vector field (U(X,Y),V(X,Y));
voronoi_plot
a program which
plots the Voronoi neighborhoods of points in the 2D unit square,
using L1, L2 or Loo norms;
voronoi_weight
a program which
estimates the volume of the Voronoi cells
associated with N points in the M-dimensional unit hypercube;
vtk_io
a library which
reads and writes VTK graphics files.
walsh
a library which
implements versions of the Walsh and Haar transforms.
wandzura
a library which
returns one of 6 Wandzura rules for quadrature in a triangle;
wavelet
a library which
does some simple wavelet calculations;
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.
wordsnake
a program which
rearranges a list of words so that they have maximum overlap;
wtime
a library which
returns a reading of the wall clock time in seconds.
xerror
a library which
forms the SLATEC error message package.
xlf_intrinsics
programs which
illustrate the use of some of the intrinsic functions
included by the IBM XLF compiler, above and beyond those
specified in the FORTRAN language standards.
xy_io
a library which
reads and writes XY files for storing 2D point information.
xyz_io
a library which
reads and writes XYZ files for storing 3D point information.
xyz_plot
a program which
is an interactive plotter.
xyz_to_pdb
a program which
reads an XYZ file of 3D spatial coordinates, and rewrites the information
as atomic coordinates in a Protein Data Base (PDB) file;
ziggurat
a library which
samples the uniform, normal or exponential distributions,
using the ziggurat method,
by Marsaglia and Tsang.
ziggurat_openmp
a program which
demonstrates how the ziggurat library can be used to generate random numbers
in an OpenMP parallel program.
zoomin
a library which
finds the zero of a scalar function.