TETRAHEDRON_MONTE_CARLO is a MATLAB library which estimates the integral of a function over a tetrahedron using the Monte Carlo method.
The library makes it relatively easy to compare different methods of producing sample points in the tetrahedron, and to vary the tetrahedron over which integration is carried out.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
TETRAHEDRON_MONTE_CARLO is available in a C++ version and a FORTRAN90 version and a MATLAB version.
BALL_VOLUME_MONTE_CARLO, a MATLAB program which applies a Monte Carlo method to estimate the volume of the unit ball in M dimensions;
FELIPPA, a MATLAB library which defines quadrature rules for lines, triangles, quadrilaterals, pyramids, wedges, tetrahedrons and hexahedrons.
GM_RULE, a MATLAB library which defines Grundmann-Moeller rules for quadrature over a triangle, tetrahedron, or general M-dimensional simplex.
KEAST, a MATLAB library which defines a number of quadrature rules for a tetrahedron.
NCC_TETRAHEDRON, a MATLAB library which defines Newton-Cotes Closed quadrature rules on a tetrahedron.
NCO_TETRAHEDRON, a MATLAB library which defines Newton-Cotes Open quadrature rules on a tetrahedron.
RANDOM_DATA, a MATLAB library which generates sample points for various probability distributions, spatial dimensions, and geometries;
SPHERE_MONTE_CARLO, a MATLAB library which applies a Monte Carlo method to estimate the integral of a function over the surface of the unit sphere in 3D;
STROUD, a MATLAB library which defines quadrature rules for a variety of multidimensional reqions.
TETRAHEDRON_EXACTNESS, a MATLAB program which investigates the polynomial exactness of a quadrature rule for the tetrahedron.
TRIANGLE_MONTE_CARLO, a MATLAB program which uses the Monte Carlo method to estimate integrals over a triangle.
You can go up one level to the MATLAB source codes.