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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 5, Pages 1060–1071 (Mi zvmmf4492)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations

A. Ya. Dubovitskii, V. A. Dubovitskii

Moscow
Full-text PDF (1572 kB) Citations (3)
Abstract: Difference methods of integrating the systems of ordinary differential equations of non-isothermal kinetics are analyzed. It is shown that, in a wide range of conventional schemes, the only scheme ensuring asymptotic approximation of the initial system is Euler's implicit method. The method of numerical integration is based on non-local methods of solving the non-isothermal implicit difference schemes and takes account of their strong temperature non-linearity.
Received: 19.08.1981
Revised: 09.02.1983
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 5, Pages 23–30
DOI: https://doi.org/10.1016/S0041-5553(83)80153-0
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 65L05; Secondary 65L20, 80A30, 34A34
Language: Russian
Citation: A. Ya. Dubovitskii, V. A. Dubovitskii, “Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1060–1071; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 23–30
Citation in format AMSBIB
\Bibitem{DubDub83}
\by A.~Ya.~Dubovitskii, V.~A.~Dubovitskii
\paper Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 5
\pages 1060--1071
\mathnet{http://mi.mathnet.ru/zvmmf4492}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721784}
\zmath{https://zbmath.org/?q=an:0531.65043}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 5
\pages 23--30
\crossref{https://doi.org/10.1016/S0041-5553(83)80153-0}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i5/p1060
    • This publication is cited in the following 3 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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