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An expansion method for irregular oscillatory integrals

โœ Scribed by Evans, G. A.

Book ID
119945991
Publisher
Taylor and Francis Group
Year
1997
Tongue
English
Weight
510 KB
Volume
63
Category
Article
ISSN
0020-7160

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๐Ÿ“œ SIMILAR VOLUMES

A high order, progressive method for the
A high order, progressive method for the evaluation of irregular oscillatory integrals
โœ G.A. Evans; J.R. Webster ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 790 KB

A method is presented for the evaluation of rapidly oscillatory integrals. The method is a variation of Levin's method, and involves forming a quadrature rule which is exact for a certain set of functions. It is shown that the choice of exact functions and, more importantly, the integration abscissa

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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 โˆˆ [a, b], Levin iteration method with the initial U [0] (x) โ‰ก 0 is identical to the asymptotic method.

A parameter method for computing highly
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โœ Ruyun Chen; Shuhuang Xiang; Yongxiong Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 989 KB

This paper presents a new efficient parameter method for integration of the highly oscillatory integral 1 0 f (x)e iฯ‰g(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.