tetrahedron_monte_carlo

tetrahedron_monte_carlo, a Fortran90 code which uses the Monte Carlo method to estimates the integral of a function F(X,Y,Z) over the interior of a tetrahedron in 3D.

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.

Licensing:

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

Languages:

tetrahedron_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:

tetrahedron_monte_carlo_test

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

tetrahedron_exactness, a Fortran90 code which investigates the polynomial exactness of a quadrature rule for the tetrahedron.

Reference:

  1. Claudio Rocchini, Paolo Cignoni,
    Generating Random Points in a Tetrahedron,
    Journal of Graphics Tools,
    Volume 5, Number 4, 2000, pages 9-12.
  2. Reuven Rubinstein,
    Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks,
    Krieger, 1992,
    ISBN: 0894647644,
    LC: QA298.R79.
  3. Greg Turk,
    Generating Random Points in a Triangle,
    in Graphics Gems I,
    edited by Andrew Glassner,
    AP Professional, 1990,
    ISBN: 0122861663,
    LC: T385.G697

Source Code:

Last revised on 08 September 2020.