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A parameter method for computing highly oscillatory integrals

✍ Scribed by Ruyun Chen; Shuhuang Xiang; Yongxiong Zhou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
989 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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