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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 3, Pages 3–17 (Mi ivm9087)  
This article is cited in 4 scientific papers (total in 5 papers)

On a method of calculation of hypersingular integrals

I. V. Boikov, M. A. Semov

Chair of Higher and Applied Mathematics, Penza State University, 40 Krasnaya str., Penza, 440026 Russia
Full-text PDF (250 kB) Citations (5)
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Abstract: We propose an analytic method for calculation of one-dimensional and two-dimensional hypersingular integrals. Based on this method, we construct approximate method for calculation of one-dimensional and two-dimensional hypersingular integrals having singularities on rather complicated manifolds. We give estimates of errors of suggested algorithms.
Keywords: hypersingular integrals, quadrature formulas, cubature formulas.
Received: 29.06.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 3, Pages 1–13
DOI: https://doi.org/10.3103/S1066369X16030014
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
Citation: I. V. Boikov, M. A. Semov, “On a method of calculation of hypersingular integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3, 3–17; Russian Math. (Iz. VUZ), 60:3 (2016), 1–13
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :90
    References:80
    First page:35
     
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