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Note on a method for computing infinite integrals of oscillatory functions

✍ Scribed by Longman, I. M.; Miller, J. C. P.


Book ID
119961052
Publisher
Cambridge University Press
Year
1956
Tongue
English
Weight
608 KB
Volume
52
Category
Article
ISSN
0305-0041

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A parameter method for computing highly
✍ 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.