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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1187–1191 (Mi zvmmf278)  

This article is cited in 1 scientific paper (total in 1 paper)

New splitting methods for two-dimensional evolutionary equations

N. V. Shirobokov

Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia
Full-text PDF (501 kB) Citations (1)
References:
Abstract: New second- and third-order splitting methods are proposed for evolutionary-type partial differential equations in a two-dimensional space. These methods are derived on the basis of diagonally implicit methods applied to the numerical analysis of stiff ordinary differential equations. The splitting methods are found to be absolutely unconditionally stable. Test calculations are presented.
Key words: two-dimensional evolutionary equations, Runge–Kutta methods, diagonally implicit methods, stiff problems, second- and third-order splitting methods.
Received: 15.12.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 7, Pages 1137–1141
DOI: https://doi.org/10.1134/S0965542507070068
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. V. Shirobokov, “New splitting methods for two-dimensional evolutionary equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1187–1191; Comput. Math. Math. Phys., 47:7 (2007), 1137–1141
Citation in format AMSBIB
\Bibitem{Shi07}
\by N.~V.~Shirobokov
\paper New splitting methods for two-dimensional evolutionary equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 7
\pages 1187--1191
\mathnet{http://mi.mathnet.ru/zvmmf278}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2376660}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 7
\pages 1137--1141
\crossref{https://doi.org/10.1134/S0965542507070068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547672941}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i7/p1187
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:252
    Full-text PDF :126
    References:43
    First page:1
     
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