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

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 9, Pages 1448–1459 (Mi zvmmf9913)

This article is cited in 7 papers

An analysis of multistep methods for solving integral-algebraic equations: Construction of stability domains

M. V. Bulatova, O. S. Budnikovab

a Institute of Dynamical Systems and Control Theory, Siberian Division, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
b East Siberia State Academy of Education, ul. Nizhnyaya Naberezhnaya 6, Irkutsk, 664011, Russia

Abstract: Systems of Volterra integral equations with identically singular matrices in the principal part (called integral-algebraic equations) are examined. Multistep methods for the numerical solution of a selected class of such systems are proposed and examined.

Key words: integral-algebraic equations, multistep methods, stability domain.

UDC: 519.624.2

Received: 14.02.2013

DOI: 10.7868/S0044466913070077


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:9, 1260–1271

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© Steklov Math. Inst. of RAS, 2024