square_integrals

square_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit square or symmetric unit square in 2D.

The interior of the unit square in 2D is defined by

0 <= X <= 1,
0 <= Y <= 1.

The interior of the symmetric unit square in 2D is defined by

-1 <= X <= 1,
-1 <= Y <= 1.

The integrands are all of the form

f(x,y) = x^e1 * y^e2

where the exponents are nonnegative integers.

Languages:

square_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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Source Code:

Last revised on 02 February 2020.