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Matematicheskoe modelirovanie, 2012, Volume 24, Number 1, Pages 3–20 (Mi mm3194)  
This article is cited in 53 scientific papers (total in 53 papers)

Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators

A. I. Sukhinov, A. E. Chistyakov

Taganrog Institute of Technology of the Southern Federal University
Full-text PDF (361 kB) Citations (53)
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Abstract: The work is dedicated to the development of adaptive methods for solving convection-diffusion problems. For this class of problems a version of minimal correction adaptive SSOR was built, as well the convergence rate of the method was estimated, when grid Peclet number is restricted. Numerical results have been presented for the solving real hydrodynamics problem for shallow water basin using parallel algorithm of constructed method.
Keywords: grid equations with nonselfadjoint operator, adaptive SSOR with preconditioning, parallel algorithm, domain decomposition.
Received: 21.03.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 4, Pages 398–409
DOI: https://doi.org/10.1134/S2070048212040084
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
Language: Russian
Citation: A. I. Sukhinov, A. E. Chistyakov, “Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators”, Mat. Model., 24:1 (2012), 3–20; Math. Models Comput. Simul., 4:4 (2012), 398–409
Citation in format AMSBIB
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\by A.~I.~Sukhinov, A.~E.~Chistyakov
\paper Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators
\jour Mat. Model.
\yr 2012
\vol 24
\issue 1
\pages 3--20
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2978088}
\zmath{https://zbmath.org/?q=an:1274.76300}
\elib{https://elibrary.ru/item.asp?id=21276670}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 4
\pages 398--409
\crossref{https://doi.org/10.1134/S2070048212040084}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925956864}
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    • This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:116
    First page:40
     
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