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Matematicheskoe modelirovanie, 2010, Volume 22, Number 1, Pages 46–56 (Mi mm2925)  
This article is cited in 13 scientific papers (total in 13 papers)

Numerical integration of stiff systems with low accuracy

A. E. Novikova, E. A. Novikovb

a Siberian Federal University
b Institute of Computer Modeling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk
Full-text PDF (166 kB) Citations (13)
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Abstract: An L-stable (2,1)-method and an explicit two-stage Runge–Kutta type scheme are constructed, both schemes of order two. A numerical formula of order one is developed that is based on the stages of the explicit method and its stability interval is extended to 8. An integration algorithm of variable order and step is constructed that is based on the stages of the three schemes. The most effective numerical scheme is chosen for each step by means of stability control inequality. The results are given that confirm the effectiveness of the algorithm.
Received: 27.02.2008
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 4, Pages 443–452
DOI: https://doi.org/10.1134/S2070048210040046
Bibliographic databases:
Language: Russian
Citation: A. E. Novikov, E. A. Novikov, “Numerical integration of stiff systems with low accuracy”, Matem. Mod., 22:1 (2010), 46–56; Math. Models Comput. Simul., 2:4 (2010), 443–452
Citation in format AMSBIB
\Bibitem{NovNov10}
\by A.~E.~Novikov, E.~A.~Novikov
\paper Numerical integration of stiff systems with low accuracy
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 1
\pages 46--56
\mathnet{http://mi.mathnet.ru/mm2925}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668033}
\zmath{https://zbmath.org/?q=an:05758709}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 4
\pages 443--452
\crossref{https://doi.org/10.1134/S2070048210040046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929082103}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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