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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1378–1386 (Mi zvmmf266)  
This article is cited in 20 scientific papers (total in 20 papers)

On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind

A. S. Apartsyn

Institute of Power Engineering, Melent'ev Energy System Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia
Full-text PDF (853 kB) Citations (20)
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Abstract: A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented.
Key words: Volterra bilinear integral equation of the first kind, right rectangle rule, midpoint rule, convergence, Lambert function, self-regularization.
Received: 02.02.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1323–1331
DOI: https://doi.org/10.1134/S0965542507080106
Bibliographic databases:
Document Type: Article
UDC: 519.642.5
Language: Russian
Citation: A. S. Apartsyn, “On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1378–1386; Comput. Math. Math. Phys., 47:8 (2007), 1323–1331
Citation in format AMSBIB
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\by A.~S.~Apartsyn
\paper On the convergence of numerical methods for solving a~Volterra bilinear equations of the first kind
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1378--1386
\mathnet{http://mi.mathnet.ru/zvmmf266}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378183}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1323--1331
\crossref{https://doi.org/10.1134/S0965542507080106}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548413195}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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