alpert_rule, a Python code which has tabulated values that define Alpert quadrature rules of a number of orders of accuracy for functions that are regular, log singular, or power singular.
The rules defined here assume that the integral is to be taken over the interval [0,1]. The interval is divided into N+1 intervals. The leftmost and rightmost intervals are handled in a special way, depending on whether a particular kind of singularity is expected.
A singularity may exist at the left endpoint, x = 0. The cases are:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
alpert_rule 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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