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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1460–1479
DOI: https://doi.org/10.7868/S004446691309007X (Mi zvmmf9914) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations

S. V. Gaidomak

Institute of Dynamical Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova. 134, Irkutsk, 664033, Russia
Full-text PDF (338 kB) Citations (11)
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DOI: https://doi.org/10.7868/S004446691309007X
Abstract: A boundary value problem for linear partial differential algebraic systems of equations with multiple characteristic curves is examined. It is assumed that the pencil of matrix functions associated with this system is smoothly equivalent to a special canonic form. The spline collocation is used to construct for this problem a difference scheme of an arbitrary approximation order with respect to each independent variable. Sufficient conditions are found for this scheme to be absolutely stable.
Key words: linear partial differential algebraic equation, spline collocation difference scheme, stability of an implicit difference scheme.
Received: 28.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1272–1291
DOI: https://doi.org/10.1134/S0965542513090066
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. V. Gaidomak, “On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1460–1479; Comput. Math. Math. Phys., 53:9 (2013), 1272–1291
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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