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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 946–957
DOI: https://doi.org/10.7868/S0044466913060148 (Mi zvmmf9842) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A numerical method for solving partial differential algebraic equations

Nguyen Khac Diepa, V. F. Chistyakovb

a Irkutsk State Technical University
b Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
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DOI: https://doi.org/10.7868/S0044466913060148
Abstract: Linear systems of partial differential equations with constant coefficient matrices are considered. The matrices multiplying the derivatives of the sought vector function are assumed to be singular. The structure of solutions to such systems is examined. The numerical solution of initialboundary value problems for such equations by applying implicit difference schemes is discussed.
Key words: partial differential algebraic equations, hyperbolic equations, singular systems, index, implicit difference schemes.
Received: 25.04.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 766–776
DOI: https://doi.org/10.1134/S0965542513060134
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: Nguyen Khac Diep, V. F. Chistyakov, “A numerical method for solving partial differential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 946–957; Comput. Math. Math. Phys., 53:6 (2013), 766–776
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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