Highly oscillatory integrals require special techniques for their effective evaluation. Various studies have been conducted to find computational methods for evaluating such integrals. In this paper we present an efficient numerical method to evaluate a class of generalised Fourier integrals (on a l
A comparison of some methods for the evaluation of highly oscillatory integrals
β Scribed by G.A. Evans; J.R. Webster
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 109 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In Part I the extended Clenshaw-Curtis method for ΓΏnite Fourier integrals is discussed, and a number of timed comparisons are made between the various implementations which appear in the literature. Part II deals with irregular oscillatory integrals and outlines the various methods which have been proposed for their evaluation. Their e ectiveness is discussed in the light of a set of test examples.
π SIMILAR VOLUMES
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