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Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-11
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, the computation of multiple (including two dimensional and three dimensional) Cauchy principal integral with generalized composite rectangle rule was discussed, with the density function approximated by the middle rectangle rule, while the singular kernel was analytically calculated.
Based on the expansion of the density function, the asymptotic expansion formulae of error functional are obtained.
A series is constructed to approach the singular point, then the extrapolation algorithm is presented, and the convergence rate is proved.
At last, some numerical examples are presented to validate the theoretical analysis.
American Psychological Association (APA)
Li, Jin& Cheng, Yongling. 2020. Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1196711
Modern Language Association (MLA)
Li, Jin& Cheng, Yongling. Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1196711
American Medical Association (AMA)
Li, Jin& Cheng, Yongling. Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1196711
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196711