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J. Sib. Fed. Univ. Math. Phys., 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

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.

Full text: PDF file (150 kB)
References: PDF file   HTML file
UDC: 519.622.852
Received: 18.05.2010
Received in revised form: 25.06.2010
Accepted: 10.09.2010

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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    This publication is cited in the following articles:
    1. I. I. Matveeva, I. A. Mel'nik, “On the properties of solutions to a class of nonlinear systems of differential equations of large dimension”, Siberian Math. J., 53:2 (2012), 248–258  mathnet  crossref  mathscinet  isi
    2. I. A. Uvarova, “On a system of nonlinear differential equations of higher dimension”, J. Appl. Industr. Math., 8:4 (2014), 594–603  mathnet  crossref  mathscinet
    3. G. V. Demidenko, I. A. Uvarova, “On a class of systems of ordinary differential equations of large dimension”, J. Appl. Industr. Math., 10:2 (2016), 179–191  mathnet  crossref  crossref  mathscinet  elib
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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