hypercube_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.
The interior of the unit hypercube in M dimensions is defined by
0 <= X(1:M) <= 1.
The integrands are all of the form
F(X) = product ( 1 <= I <= M ) X(I)^E(I)
where the exponents are nonnegative integers.
The information on this web page is distributed under the MIT license.
hypercube_integrals 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.
hypercube_grid, a MATLAB code which computes a grid of points over the interior of a hypercube in M dimensions.
hypercube_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate the integral of a function over the interior of the unit hypercube in M dimensions.
matlab_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the surface or interior of some geometric object, including a line, quadrilateral, box, circle, disk, sphere, ball and others.