Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 155, Pages 20–37 (Mi into388)  
This article is cited in 10 scientific papers (total in 10 papers)

On development of parallel algorithms for the solution of parabolic and elliptic equations

V. T. Zhukov, O. B. Feodoritova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Full-text PDF (374 kB) Citations (10) English version article
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Abstract: Results of the development of certain parallel numerical methods of solution of three-dimensional evolutionary and stationary problems of diffusion and thermal conductivity are given in the paper. We present a detailed description of a special explicit iteration scheme for parabolic equations and discuss a multigrid technology used for the solution of elliptic equations and implicit schemes for parabolic equations.
Keywords: parabolic equations, elliptic equations, multigrid method, Chebyshev parameters, adaptation.
Funding agency Grant number
Russian Science Foundation 14-21-00025-П
This work was partially supported by the Russian Science Foundation (project No. 14-21-00025-П).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 5, Pages 606–624
DOI: https://doi.org/10.1007/s10958-021-05329-y
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65M06, 65M22, 65M55
Language: Russian
Citation: V. T. Zhukov, O. B. Feodoritova, “On development of parallel algorithms for the solution of parabolic and elliptic equations”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 155, VINITI, Moscow, 2018, 20–37; J. Math. Sci. (N. Y.), 254:5 (2021), 606–624
Citation in format AMSBIB
\Bibitem{ZhuFeo18}
\by V.~T.~Zhukov, O.~B.~Feodoritova
\paper On development of parallel algorithms for the solution of parabolic and elliptic equations
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 155
\pages 20--37
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into388}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3904903}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 5
\pages 606--624
\crossref{https://doi.org/10.1007/s10958-021-05329-y}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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