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An improved Levin quadrature method for highly oscillatory integrals

✍ Scribed by Jianbing Li; Xuesong Wang; Tao Wang; Shunping Xiao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
523 KB
Volume
60
Category
Article
ISSN
0168-9274

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πŸ“œ SIMILAR VOLUMES

On the Levin iterative method for oscill
On the Levin iterative method for oscillatory integrals
✍ Shuhuang Xiang; Haiyong Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 206 KB

This paper considers and gives error analysis for Levin iteration method to approximate Bessel-trigonometric transformation x) dx under the condition that g (x) = 0 for all x ∈ [a, b], Levin iteration method with the initial U [0] (x) ≑ 0 is identical to the asymptotic method.

A parameter method for computing highly
A parameter method for computing highly oscillatory integrals
✍ Ruyun Chen; Shuhuang Xiang; Yongxiong Zhou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 989 KB

This paper presents a new efficient parameter method for integration of the highly oscillatory integral 1 0 f (x)e iωg(x) dx with an irregular oscillator. The effectiveness and accuracy are tested by means of numerical examples for the case where g(x) has stationary points.

An efficient method for evaluating the i
An efficient method for evaluating the integral of a class of highly oscillatory functions
✍ Paul J. Harris; Ke Chen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 625 KB

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 eva
A comparison of some methods for the evaluation of highly oscillatory integrals
✍ G.A. Evans; J.R. Webster πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

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 p