sphere_monte_carlo


sphere_monte_carlo, a Fortran90 code which estimates the integral of F(X,Y,Z) over the surface of the unit sphere in 3D.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

sphere_monte_carlo is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

sphere_monte_carlo_test

f90_monte_carlo, a Fortran90 code which uses Monte Carlo sampling to estimate areas and integrals.

sphere_integrals, a Fortran90 code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.

sphere_triangle_monte_carlo, a Fortran90 code which applies a Monte Carlo method to estimate the integral of a function over a spherical triangle on the surface of the unit sphere in 3D;

Reference:

  1. Gerald Folland,
    How to Integrate a Polynomial Over a Sphere,
    American Mathematical Monthly,
    Volume 108, Number 5, May 2001, pages 446-448.

Source Code:


Last revised on 29 August 2020.