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arXiv · 1303.5101

Gaussian Quadrature of int_0^1 f(x) log^m(x) dx and int_(-1)^1 f(x) cos(pi*x/2) dx

Richard J. Mathar
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Abstract

We tabulate the abscissae and associated weights for numerical integration of integrals with either the singular weight function (-log x)^m for exponents m=1, 2 or 3, or the symmetric weight function cos(pi*x/2). Standard brute force arithmetics generates explicit pairs of these values for up to 128 nodes.

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Richard J. Mathar. 2013-03-20. Gaussian Quadrature of int_0^1 f(x) log^m(x) dx and int_(-1)^1 f(x) cos(pi*x/2) dx. https://arxiv.org/abs/1303.5101

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