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International Journal of Computer Mathematics Volume 89, 2012 - Issue 5
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Section B

Numerical analysis for Cauchy principal value integrals of oscillatory kind

Ruyun Chen College of Science, Guangdong Ocean University, Zhanjiang, Guangdong, 524088, ChinaCorrespondence[email protected]
Pages 701-710 | Received 31 Aug 2011, Accepted 28 Dec 2011, Published online: 27 Feb 2012

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Gang Yang, Luogen Yao & Ruyun Chen. (2019) Numerical evaluation of oscillatory-singular integrals. International Journal of Computer Mathematics 96:12, pages 2473-2486.
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Articles from other publishers (7)

Zhenhua Xu, Zhanmei Lv & Guidong Liu. (2023) Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands. Journal of Computational and Applied Mathematics 433, pages 115316.
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Zhenhua Xu, Zhanmei Lv & Hongrui Geng. (2022) Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands. Numerical Algorithms 91:3, pages 1287-1314.
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Zhenhua Xu, Hongrui Geng & Chunhua Fang. (2020) Asymptotics and numerical approximation of highly oscillatory Hilbert transforms. Applied Mathematics and Computation 386, pages 125525.
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Ruyun Chen, Di Yu & Juan Chen. (2020) Numerical approximations of highly oscillatory Hilbert transforms. Computational and Applied Mathematics 39:3.
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Ruyun Chen & Xiaoliang Zhou. (2015) On quadrature of highly oscillatory integrals with logarithmic singularities. Applied Mathematics and Computation 265, pages 973-982.
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Guo He & Shuhuang Xiang. (2015) An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. Journal of Computational and Applied Mathematics 280, pages 1-13.
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Ruyun Chen. (2014) Fast computation of a class of highly oscillatory integrals. Applied Mathematics and Computation 227, pages 494-501.
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