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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 3, Pages 3–15 (Mi ivm8778)  

This article is cited in 20 scientific papers (total in 20 papers)

Unconditionally stable schemes for convection-diffusion problems

N. M. Afanas'evaa, P. N. Vabishchevichb, M. V. Vasil'evaa

a Center of Computing Technologies, North-Eastern Federal University, Yakutsk, Russia
b Nuclear Safety Institute of RAS, Moscow, Russia
References:
Abstract: Convection-diffusion problems are basic ones in continuum mechanics. The main features of these problems are connected with the fact that their operators may have an indefinite sign. In this paper we study stability of difference schemes with weights for convection-diffusion problems where the convective transport operator may have various forms. We present unconditionally stable schemes for non-stationary convection-diffusion equations based on the use of new variables. Similar schemes are also used for parabolic equations where the operator represents the sum of diffusion operators.
Keywords: convection-diffusion equations, finite difference schemes, stability of difference schemes.
Received: 25.01.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 3, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X13030018
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. M. Afanas'eva, P. N. Vabishchevich, M. V. Vasil'eva, “Unconditionally stable schemes for convection-diffusion problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3, 3–15; Russian Math. (Iz. VUZ), 57:3 (2013), 1–11
Citation in format AMSBIB
\Bibitem{AfaVabVas13}
\by N.~M.~Afanas'eva, P.~N.~Vabishchevich, M.~V.~Vasil'eva
\paper Unconditionally stable schemes for convection-diffusion problems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 3
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm8778}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 3
\pages 1--11
\crossref{https://doi.org/10.3103/S1066369X13030018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876275607}
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  • https://www.mathnet.ru/eng/ivm/y2013/i3/p3
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:465
    Full-text PDF :141
    References:60
    First page:21
     
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