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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 4, Pages 707–717 (Mi zvmmf4863)  
This article is cited in 5 scientific papers (total in 5 papers)

On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations

S. V. Gaĭdomak

Institute of Dynamic Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia
Full-text PDF (269 kB) Citations (5)
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Abstract: An implicit difference scheme is considered for approximating the initial-boundary value problem for a linear differential-algebraic system of partial differential equations with variable matrix coefficients of special structure. The conditional and asymptotic stability of the difference scheme with respect to the initial and boundary conditions and the right-hand side is proved.
Key words: differential-algebraic system of partial differential equations, implicit difference scheme, stability of difference schemes, asymptotic stability.
Received: 23.09.2009
Revised: 17.11.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 4, Pages 673–683
DOI: https://doi.org/10.1134/S0965542510040093
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. V. Gaǐdomak, “On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010), 707–717; Comput. Math. Math. Phys., 50:4 (2010), 673–683
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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