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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1192–1195 (Mi zvmmf624)  
This article is cited in 3 scientific papers (total in 4 papers)

On a method for solving boundary value problems for linear differential algebraic system of equations

A. A. Abramova, V. I. Ul'yanovaa, L. F. Yukhnob

a Dorodnicyn Computing Center Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Full-text PDF (548 kB) Citations (4)
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Abstract: A method for solving boundary value problems for linear differential algebraic systems of equations is proposed and examined. The method is based on a sequence of successive transformations of the original system. As a result, a normal system of ordinary differential equations or a system of algebraic equations is obtained. In the first case, one has the corresponding boundary value problem. The solution to this problem or the solution to the system of algebraic equations, in the second case, yields the solution to the original problem.
Key words: differential algebraic equation, linear boundary value problem.
Received: 20.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On a method for solving boundary value problems for linear differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1192–1195; Comput. Math. Math. Phys., 45:7 (2005), 1151–1154
Citation in format AMSBIB
\Bibitem{AbrUlyYuk05}
\by A.~A.~Abramov, V.~I.~Ul'yanova, L.~F.~Yukhno
\paper On a method for solving boundary value problems for linear differential algebraic system of equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 7
\pages 1192--1195
\mathnet{http://mi.mathnet.ru/zvmmf624}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188411}
\zmath{https://zbmath.org/?q=an:1082.34500}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 7
\pages 1151--1154
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  • https://www.mathnet.ru/eng/zvmmf/v45/i7/p1192
    • This publication is cited in the following 4 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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    References:62
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