hypercube_integrals


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.

Licensing:

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

Languages:

hypercube_integrals is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version..

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hypercube_integrals_test

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tetrahedron_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.

triangle_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2D.

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Source Code:


Last revised on 01 February 2019.