Yu. M. Laevsky, P. V. Banushkina, “The compound explicit schemes”, Sib. Zh. Vychisl. Mat., 3:2 (2000), 165

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Sibirskii Zhurnal Vychislitel'noi Matematiki

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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2000, Volume 3, Number 2, Pages 165–180 (Mi sjvm362)

This article is cited in 11 scientific papers (total in 11 papers)

The compound explicit schemes

Yu. M. Laevsky^a, P. V. Banushkina^b

^a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University

Full-text PDF (790 kB) Citations (11)

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Abstract: In the paper, a new approach to the design of the explicit schemes for the solution to the boundary value parabolic problems is proposed. Its basis is a block presentation of grid operator with essentially different spectral properties of the blocks. It has been shown that for corresponding choice of integration steps a stability is provided by independent conditions for every block. With the help of the Chebyshev type schemes the method to relax one of conditions is suggested.

Received: 01.02.1999
Revised: 24.03.1999

Bibliographic databases:

Document Type: Article

UDC: 519.63

Language: Russian

Citation: Yu. M. Laevsky, P. V. Banushkina, “The compound explicit schemes”, Sib. Zh. Vychisl. Mat., 3:2 (2000), 165–180

Citation in format AMSBIB

\Bibitem{LaeBan00}

\by Yu.~M.~Laevsky, P.~V.~Banushkina

\paper The compound explicit schemes

\jour Sib. Zh. Vychisl. Mat.

\yr 2000

\vol 3

\issue 2

\pages 165--180

\mathnet{http://mi.mathnet.ru/sjvm362}

\zmath{https://zbmath.org/?q=an:0956.65075}

Linking options:

https://www.mathnet.ru/eng/sjvm362

https://www.mathnet.ru/eng/sjvm/v3/i2/p165

This publication is cited in the following 11 articles:

A. S. Anisimova, Yu. M. Laevsky, “On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes”, Sib. elektron. matem. izv., 15 (2018), 759–767
T. A. Kandryukova, Yu. M. Laevsky, “On the numerical simulation of filtration combustion of gases on multi-core computing systems”, J. Appl. Industr. Math., 8:2 (2014), 218–226
Zotkevich A.A., “Chislennoe modelirovanie rasprostraneniya laminarnogo plameni”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 10:1 (2009), 211–222
Yu. M. Laevsky, L. V. Yausheva, “Simulation of the filtrating gas combustion processes in non-homogeneous porous media”, Num. Anal. Appl., 2:2 (2009), 140–153
Laevskii Yu.M., Yausheva L.V., “Chislennoe modelirovanie filtratsionno go goreniya gaza na osnove dvukhurovnevykh poluneyavnykh raznostnykh skhem”, Vychislitelnye tekhnologii, 12:2 (2007), 90–103
Zotkevich A.A., Laevskii Yu.M., “Chislennoe modelirovanie rasprostraneniya laminarnogo plameni na osnove dvukhurovnevykh yavnykh raznostnykh skhem”, Vychislitelnye tekhnologii, 11:6 (2006), 31–43
A. A. Zotkevich, Yu. M. Laevskii, “Ob odnom klasse dvukhurovnevykh yavnykh skhem”, Sib. zhurn. vychisl. matem., 5:2 (2002), 163–173
Yu. M. Laevskii, P. V. Banushkina, “Ob ustoichivosti dvukhurovnevykh yavnykh skhem”, Sib. zhurn. vychisl. matem., 4:1 (2001), 107–109
Laevsky Y.M., Banushkina P.V., Litvinenko S.A., Zotkevich A.A., “Parallel algorithms for non-stationary problems: Survey of new generation of explicit schemes”, Parallel Computing Technologies, Lecture Notes in Computer Science, 2127, 2001, 442–446
Bandman O.L., “Fine-grained parallelism in computational mathematics”, Program Comput Softw, 27:4 (2001), 170–182
Banushkina P.V., Laevsky Y.M., “Multilevel explicit schemes and their stability”, Russian J Numer Anal Math Modelling, 16:3 (2001), 215–233

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Sibirskii Zhurnal Vychislitel'noi Matematiki

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