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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1100–1107
DOI: https://doi.org/10.1134/S0044466919070044 (Mi zvmmf10918) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Block difference schemes of high order for stiff linear differential-algebraic equations

M. V. Bulatovab, V. H. Linhc, L. S. Solovarovaa

a Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
b Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
c Vietnam National University, Hanoi, 10000 Vietnam
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DOI: https://doi.org/10.1134/S0044466919070044
Abstract: The initial value problem for stiff linear differential-algebraic equations is considered. A block variant of multistep difference schemes is proposed to solve these problems. Sufficient conditions for the methods to converge to the exact solution are formulated, and an estimate of the convergence rate is obtained. Results of numerical calculations for test examples are given.
Key words: differential-algebraic equations, index, stiff problems, block difference schemes.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-54001_Вьет_а
National Foundation for Science and Technology Development Vietnam 101.02-2017.314
The study of M.V. Bulatov and L.S. Solovarova was supported in part by the Russian Foundation for Basic Research, project no. 18-51-54001. The study of V.H. Linh was supported in part by NAFOSTED, project no.В 101.02-2017.314.
Received: 12.02.2018
Revised: 12.02.2018
Accepted: 11.03.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1049–1057
DOI: https://doi.org/10.1134/S0965542519070042
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: M. V. Bulatov, V. H. Linh, L. S. Solovarova, “Block difference schemes of high order for stiff linear differential-algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1100–1107; Comput. Math. Math. Phys., 59:7 (2019), 1049–1057
Citation in format AMSBIB
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