Algorithm 793
- 1 June 1999
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 25 (2), 213-239
- https://doi.org/10.1145/317275.317282
Abstract
The concern here is with Gauss-type quadrature rules that are exact for a mixture of polynomials and rational functions, the latter being selected so as to simulate poles that may be present in the integrand. The underlying theory is presented as well as methods for constructing such rational Gauss formulae. Relevant computer routines are provided and applied to a number examples, including Fermi-Dirac and Bose-Einstein integrals of interest in solid state physics.Keywords
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