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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 80–89 (Mi ivm7507)  
This article is cited in 1 scientific paper (total in 1 paper)

The global error of one-step solution methods for stiff problems

E. A. Novikovab

a Chair of Software for Discrete Devices and Systems, Siberian Federal University, Krasnoyarsk, Russia
b Department of Computational Mathematics, Institute of Computational Modeling of SB RAS, Krasnoyarsk, Russia
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Abstract: We propose a new technique for estimating the global error of one-step solution methods for stiff systems. We adduce results of computations which confirm the reliability and efficiency of the error estimate.
Keywords: stiff problem, numerical method, global error.
Received: 26.12.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 68–75
DOI: https://doi.org/10.3103/S1066369X11060107
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “The global error of one-step solution methods for stiff problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 80–89; Russian Math. (Iz. VUZ), 55:6 (2011), 68–75
Citation in format AMSBIB
\Bibitem{Nov11}
\by E.~A.~Novikov
\paper The global error of one-step solution methods for stiff problems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 6
\pages 80--89
\mathnet{http://mi.mathnet.ru/ivm7507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931708}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 6
\pages 68--75
\crossref{https://doi.org/10.3103/S1066369X11060107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051643189}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :128
    References:42
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