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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 7 scientific papers (total in 7 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 (7)
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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{http://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 7 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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