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A numerical method for the integration of oscillatory functions

✍ Scribed by R. Piessens; F. Poleunis


Publisher
Springer Netherlands
Year
1971
Tongue
English
Weight
532 KB
Volume
11
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES


Analysis of a collocation method for int
✍ David Levin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 334 KB

A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions J,.(rx) with a large oscillation frequency parameter r, as well as for many other one-and multi-dimensional integrals of functions with rapi

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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