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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 7, Pages 1100–1107 (Mi zvmmf10918)

This article is cited 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

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.

UDC: 519.62

Received: 12.02.2018
Revised: 12.02.2018
Accepted: 11.03.2018

DOI: 10.1134/S0044466919070044


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:7, 1049–1057

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