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
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.
explicit method, parallel algorithm, local error, accuracy control, clusters.
PDF file (150 kB)
Received in revised form: 25.06.2010
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
\by Gennadiy~V.~Vashchenko, Evgeniy~A.~Novikov
\paper Parallel algorithm explicit Euler method with accuracy control
\jour J. Sib. Fed. Univ. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
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
I. A. Uvarova, “On a system of nonlinear differential equations of higher dimension”, J. Appl. Industr. Math., 8:4 (2014), 594–603
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
|Number of views:|