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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 829–839 (Mi zvmmf9712)  
This article is cited in 35 scientific papers (total in 35 papers)

Numerical solution of integral-algebraic equations for multistep methods

O. S. Budnikovaa, M. V. Bulatovb

a East Siberian State Academy of Education, Nizhnyaya Naberezhnaya 6, Irkutsk, 664011 Russia
b bInstitute of Dynamical Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia
Full-text PDF (219 kB) Citations (35)
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Abstract: Systems of Volterra linear 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 justified.
Key words: integral-algebraic equations, multistep methods, Adams quadratures rules.
Received: 13.12.2010
Revised: 12.02.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 691–701
DOI: https://doi.org/10.1134/S0965542512050041
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: O. S. Budnikova, M. V. Bulatov, “Numerical solution of integral-algebraic equations for multistep methods”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 829–839; Comput. Math. Math. Phys., 52:5 (2012), 691–701
Citation in format AMSBIB
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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