tetrahedron01_monte_carlo, a Fortran90 code which uses the Monte Carlo method to estimate the integral of a function F(X,Y,Z) over the interior of the unit tetrahedron in 3D.
The interior of the unit tetrahedron in 3D is defined by the constraints:
0 <= X
0 <= Y
0 <= Z
X + Y + Z <= 1
The functions F(X,Y,Z) are monomials, having the form
F(X,Y,Z) = X^E(1) * Y^E(2) * Z^E(3)
where the exponents are nonnegative integers.
The information on this web page is distributed under the MIT license.
tetrahedron01_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.
tetrahedron01_monte_carlo_test
f90_monte_carlo, a Fortran90 code which uses Monte Carlo sampling to estimate areas and integrals.
tetrahedron_arbq_rule, a Fortran90 code which returns quadrature rules, with exactness up to total degree 15, over the interior of a tetrahedron in 3D, by Hong Xiao and Zydrunas Gimbutas.
tetrahedron_felippa_rule, a Fortran90 code which returns a Felippa quadrature rule for approximating integrals over the interior of a tetrahedron in 3D.
tetrahedron_integrals, a Fortran90 code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
tetrahedron_keast_rule, a Fortran90 code which defines ten quadrature rules, with exactness degrees 0 through 8, over the interior of a tetrahedron in 3D.
tetrahedron_ncc_rule, a Fortran90 code which defines Newton-Cotes closed quadrature rules over the interior of a tetrahedron in 3D.
tetrahedron_nco_rule, a Fortran90 code which defines Newton-Cotes open quadrature rules on a tetrahedron.