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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 1, Pages 70–76 (Mi jsfu163)  

This article is cited in 3 scientific papers (total in 3 papers)

Parallel algorithm explicit Euler method with accuracy control

Gennadiy V. Vashchenko, Evgeniy A. Novikov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
Full-text PDF (150 kB) Citations (3)
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Abstract: Parallel algorithm explicit Euler method with accuracy control for numerical solving of Cauchy problem for differential equation systems is considered. Parallel implementation of the algorithm is written in C and MPI- functions. The numerical results obtained are presented.
Keywords: explicit method, parallel algorithm, local error, accuracy control, clusters.
Received: 18.05.2010
Received in revised form: 25.06.2010
Accepted: 10.09.2010
Document Type: Article
UDC: 519.622.852
Language: Russian
Citation: Gennadiy V. Vashchenko, Evgeniy A. Novikov, “Parallel algorithm explicit Euler method with accuracy control”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 70–76
Citation in format AMSBIB
\Bibitem{VasNov11}
\by Gennadiy~V.~Vashchenko, Evgeniy~A.~Novikov
\paper Parallel algorithm explicit Euler method with accuracy control
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 1
\pages 70--76
\mathnet{http://mi.mathnet.ru/jsfu163}
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  • https://www.mathnet.ru/eng/jsfu/v4/i1/p70
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Abstract page:756
    Full-text PDF :277
    References:66
     
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