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A quadrature method for a class of strongly oscillatory infinite integrals

โœ Scribed by L. C. Hsu; R. J. Tomkins; Chung-Lie Wang


Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
425 KB
Volume
30
Category
Article
ISSN
0006-3835

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A parameter method for computing highly
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.