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Radial quadrature for multiexponential integrands

✍ Scribed by Peter M. W. Gill; Siu-Hung Chien

Book ID
102305304
Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
96 KB
Volume
24
Category
Article
ISSN
0192-8651

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✦ Synopsis

Abstract

We introduce a Gaussian quadrature, based on the polynomials that are orthogonal with respect to the weight function ln^2^x on the interval [0, 1], which is suitable for the evaluation of radial integrals. The quadrature is exact if the non‐Jacobian part of the integrand is a linear combination of a geometric sequence of exponential functions. We find that the new scheme is a useful alternative to existing approaches, particularly for integrands that exhibit multiexponential behavior. Β© 2003 Wiley Periodicals, Inc. J Comput Chem 24: 732–740, 2003

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