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Fast Integration for Cauchy Principal Value Integrals of Oscillatory Kind

โœ Scribed by Ruyun Chen


Book ID
118794381
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
453 KB
Volume
123
Category
Article
ISSN
0167-8019

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On the evaluation of Cauchy principal va
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