Gauss-type quadrature rules for rational functions

Details Gauss-type quadrature rules for rational functions Gauss-type quadrature rules for rational functions

1993-07-20

arxiv.org/abs/math/9307223v1

Mathematics

Classical Analysis and ODEs

Scientific paper

When integrating functions that have poles outside the interval of integration, but are regular otherwise, it is suggested that the quadrature rule in question ought to integrate exactly not only polynomials (if any), but also suitable rational functions. The latter are to be chosen so as to match the most important poles of the integrand. We describe two methods for generating such quadrature rules numerically and report on computational experience with them.

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