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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 4, Pages 95–106
DOI: https://doi.org/10.33048/sibjim.2019.22.410
(Mi sjim1069)
 

This article is cited in 4 scientific papers (total in 4 papers)

An implicit iterative method for numerical solution of the Cauchy problem for elliptic equations

S. B. Sorokinab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentyeva 6, 630090 Novosibirsk
b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
Full-text PDF (248 kB) Citations (4)
References:
Abstract: We propose and study some implicit gradient two-layer iterative method for numerical solution of the Cauchy problem for elliptic equations. The results of computational experiments are presented.
Keywords: inverse problem, Cauchy problem, elliptic equations, implicit two-layer iterative method, difference scheme, variable separation method.
Received: 01.08.2019
Revised: 01.08.2019
Accepted: 05.09.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 4, Pages 759–770
DOI: https://doi.org/10.1134/S1990478919040185
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “An implicit iterative method for numerical solution of the Cauchy problem for elliptic equations”, Sib. Zh. Ind. Mat., 22:4 (2019), 95–106; J. Appl. Industr. Math., 13:4 (2019), 759–770
Citation in format AMSBIB
\Bibitem{Sor19}
\by S.~B.~Sorokin
\paper An implicit iterative method for numerical solution
of the Cauchy problem for elliptic equations
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 4
\pages 95--106
\mathnet{http://mi.mathnet.ru/sjim1069}
\crossref{https://doi.org/10.33048/sibjim.2019.22.410}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 4
\pages 759--770
\crossref{https://doi.org/10.1134/S1990478919040185}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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