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Matematicheskoe modelirovanie, 2011, Volume 23, Number 7, Pages 97–113 (Mi mm3134)  
This article is cited in 1 scientific paper (total in 1 paper)

Constructing parallel numerical model by means of the composition of computational objects

A. I. Ilyushina, A. A. Kolmakovb, I. S. Menshovb

a Moscow State University, Department of Computational Mechanics, Faculty of Mechanics and Mathematics
b Keldysh Institute of Applied Mathematics RAS
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Abstract: We consider a general algorithm for constructing a parallel numerical model by means of the composition of several computational objects. The only requirement for the applicability of the proposed algorithm is the condition that the disturbance propagation speed is finite. We present one possible approach to map a numerical model onto the object-oriented program model. Some results of numerical experiments for solving the heat conduction equation in linear and nonlinear cases are discussed.
Keywords: parallel algorithms, composition of computational objects.
Received: 30.08.2010
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 1, Pages 118–128
DOI: https://doi.org/10.1134/S207004821201005X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. I. Ilyushin, A. A. Kolmakov, I. S. Menshov, “Constructing parallel numerical model by means of the composition of computational objects”, Matem. Mod., 23:7 (2011), 97–113; Math. Models Comput. Simul., 4:1 (2012), 118–128
Citation in format AMSBIB
\Bibitem{IlyKolMen11}
\by A.~I.~Ilyushin, A.~A.~Kolmakov, I.~S.~Menshov
\paper Constructing parallel numerical model by means of the composition of computational objects
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 7
\pages 97--113
\mathnet{http://mi.mathnet.ru/mm3134}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2895746}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 1
\pages 118--128
\crossref{https://doi.org/10.1134/S207004821201005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928989969}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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