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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 38–42
DOI: https://doi.org/10.31857/S2686954320050355 (Mi danma114) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Numerical solution of scalar diffraction problems in integral statements on spectra of integral operators

A. A. Kashirin, S. I. Smagin

Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk Federal Research Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320050355
Abstract: Fredholm boundary integral equations of the first kind with a single unknown function are considered. Each equation is conditionally equivalent to a scalar diffraction (transmission) problem on a three-dimensional homogeneous inclusion and is solved numerically. A modified numerical method for solving the diffraction problem on the spectrum of an integral operator is proposed and tested in the case where the conditions for the correct solvability of the integral equation and its equivalence to the original problem are violated.
Keywords: diffraction, integral equation, spectrum, numerical method.
Funding agency Grant number
Russian Foundation for Basic Research 20–01–00450
Ministry of Education and Science of the Russian Federation 18-5-100
This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00450) and by the Program for Basic Research of the Far Eastern Branch of the Russian Academy of Sciences (project no. 18-5-100).
Received: 10.03.2020
Revised: 10.03.2020
Accepted: 31.07.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 387–391
DOI: https://doi.org/10.1134/S1064562420050336
Bibliographic databases:
Document Type: Article
UDC: 519.642.3
Language: Russian
Citation: A. A. Kashirin, S. I. Smagin, “Numerical solution of scalar diffraction problems in integral statements on spectra of integral operators”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 38–42; Dokl. Math., 102:2 (2020), 387–391
Citation in format AMSBIB
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\paper Numerical solution of scalar diffraction problems in integral statements on spectra of integral operators
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\transl
\jour Dokl. Math.
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\pages 387--391
\crossref{https://doi.org/10.1134/S1064562420050336}
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    • This publication is cited in the following 1 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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