triangle_monte_carlo, a MATLAB code which estimates the integral of a function over a general triangle using the Monte Carlo method.
The library makes it relatively easy to compare different methods of producing sample points in the triangle, and to vary the triangle 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.
triangle_monte_carlo is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
annulus_monte_carlo a MATLAB code which uses the monte carlo method to estimate the integral of a function over the interior of a circular annulus in 2d.
ball_monte_carlo, a MATLAB code which applies a monte carlo method to estimate integrals of a function over the interior of the unit ball in 3d;
circle_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function on the circumference of the unit circle in 2d;
disk_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function over the interior of the unit disk in 2d;
hyperball_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function over the interior of the unit hyperball in m dimensions;
hypersphere_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function on the surface of the unit sphere in m dimensions;
sphere_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function over the surface of the unit sphere in 3d;
tetrahedron_monte_carlo, a MATLAB code which uses the monte carlo method to estimate integrals over a tetrahedron.
triangle01_monte_carlo, a MATLAB code which uses the monte carlo method to estimate integrals over the interior of the unit triangle in 2d.