๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Levin iterative method for oscillatory integrals

โœ Scribed by Shuhuang Xiang; Haiyong Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
206 KB
Volume
217
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

A parameter method for computing highly
A parameter method for computing highly oscillatory integrals
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.