Abstract
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.
Work supported in part by the National Science Foundation under grant DMS-9023403.
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© 1993 Springer Basel AG
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Gautschi, W. (1993). Gauss-type Quadrature Rules for Rational Functions. In: Brass, H., Hämmerlin, G. (eds) Numerical Integration IV. ISNM International Series of Numerical Mathematics, vol 112. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6338-4_9
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DOI: https://doi.org/10.1007/978-3-0348-6338-4_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6340-7
Online ISBN: 978-3-0348-6338-4
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