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A note on the numerical evaluation of finite integrals of oscillatory functions

โœ Scribed by D. B. Hunter; Susan J. Parsons

Publisher
Springer Netherlands
Year
1975
Tongue
English
Weight
146 KB
Volume
15
Category
Article
ISSN
0006-3835

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On the evaluation of Cauchy principal va
On the evaluation of Cauchy principal value integrals of oscillatory functions
โœ Haiyong Wang; Shuhuang Xiang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 409 KB

The problem of the numerical evaluation of Cauchy principal value integrals of oscillatory functions 1 -1 e iฯ‰x f (x) x-ฯ„ dx, where -1 < ฯ„ < 1, has been discussed. Based on analytic continuation, if f is analytic in a sufficiently large complex region G containing [-1, 1], the integrals can be tran