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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 267–271 (Mi zvmmf704)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of local and global errors of the implicit Störmer method for systems of equations

N. D. Zolotarëva

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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Abstract: Errors of the Störmer method of an arbitrary order for systems of equations are estimated. Both the method error and the roundoff errors are taken into account. The global error is estimated using the ellipsoid method, which does not result in the wrapping effect.
Key words: Cauchy problem for second-order ordinary differential equations, numerical Störmer method, error estimate.
Received: 29.09.2003
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: N. D. Zolotarëva, “Estimates of local and global errors of the implicit Störmer method for systems of equations”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 267–271; Comput. Math. Math. Phys., 45:2 (2005), 256–260
Citation in format AMSBIB
\Bibitem{Zol05}
\by N.~D.~Zolotar\"eva
\paper Estimates of local and global errors of the implicit St\"ormer method for systems of equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 2
\pages 267--271
\mathnet{http://mi.mathnet.ru/zvmmf704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158668}
\zmath{https://zbmath.org/?q=an:1077.65087}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 2
\pages 256--260
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  • https://www.mathnet.ru/eng/zvmmf/v45/i2/p267
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :90
    References:38
    First page:1
     
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