SPHERE_MONTE_CARLO
Monte Carlo Estimate of Sphere Surface Integrals

SPHERE_MONTE_CARLO is a MATLAB library which estimates the integral over the surface of the unit sphere of a function F(X,Y,Z).

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

SPHERE_MONTE_CARLO is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BALL_VOLUME_MONTE_CARLO, a MATLAB program which applies a Monte Carlo method to estimate the volume of the unit ball in 6D;

SPHERE_LEBEDEV_RULE, a MATLAB library which computes Lebedev quadrature rules for the unit sphere;

SPHERE_QUAD, a MATLAB library which estimates the integral of a function over a sphere.

TETRAHEDRON_MONTE_CARLO, a MATLAB program which uses the Monte Carlo method to estimate integrals over a tetrahedron.

TRIANGLE_MONTE_CARLO, a MATLAB program which uses the Monte Carlo method to estimate integrals over a triangle.

Source Code:

• monomial_value.m, evaluates a monomial.
• sphere01_monomial_integral.m, integrates a monomial on a sphere.
• sphere01_sample.m, maps uniform points onto the unit sphere.
• timestamp.m, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• sphere_monte_carlo_test.m, a sample calling program.
• sphere_monte_carlo_test01.m, tests SPHERE01_SAMPLE.
• sphere_monte_carlo_prb_output.txt, the output file.