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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 4, Pages 585–590
DOI: https://doi.org/10.7868/S0044466914040024 (Mi zvmmf10018) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Solving a system of linear ordinary differential equations with redundant conditions

A. A. Abramovab, L. F. Yukhnocd

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia (MFTI)
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
c Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
d Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia (MIFI)
Full-text PDF (171 kB) Citations (11)
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DOI: https://doi.org/10.7868/S0044466914040024
Abstract: A system of linear ordinary differential equations is examined under the assumption that, in addition to the basic conditions, which in general are nonlocal and are specified by a Stieltjes integral, certain redundant (and possibly also nonlocal) conditions are imposed. Generically, such a problem has no solution. A principle for constructing an auxiliary system is proposed. This system replaces the original one and is normally consistent with all the conditions prescribed. A method for solving this auxiliary problem is analyzed. The method is numerically stable if the auxiliary problem is numerically stable.
Key words: linear system of ordinary differential equations, redundant nonlocal conditions, numerical stability.
Received: 10.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 4, Pages 598–603
DOI: https://doi.org/10.1134/S0965542514040022
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. A. Abramov, L. F. Yukhno, “Solving a system of linear ordinary differential equations with redundant conditions”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 585–590; Comput. Math. Math. Phys., 54:4 (2014), 598–603
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:54
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