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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1181–1191 (Mi zvmmf623)  
This article is cited in 12 scientific papers (total in 12 papers)

A fifth-order five-stage embedded method of the Dormand–Prince type

I. V. Olemskoi

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Full-text PDF (1249 kB) Citations (12)
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Abstract: An explicit embedded method is examined for the numerical integration of a system of ordinary differential equations of a special form. Fifth-order five-stage numerical schemes with automatic step size selection are constructed for special systems of differential equations of the first and second orders.
Key words: Cauchy problem, embedded method, order, stage.
Received: 29.07.2004
Revised: 10.03.2005
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: I. V. Olemskoi, “A fifth-order five-stage embedded method of the Dormand–Prince type”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1181–1191; Comput. Math. Math. Phys., 45:7 (2005), 1140–1150
Citation in format AMSBIB
\Bibitem{Ole05}
\by I.~V.~Olemskoi
\paper A fifth-order five-stage embedded method of the Dormand--Prince type
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 7
\pages 1181--1191
\mathnet{http://mi.mathnet.ru/zvmmf623}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188410}
\zmath{https://zbmath.org/?q=an:1078.65064}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 7
\pages 1140--1150
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  • https://www.mathnet.ru/eng/zvmmf/v45/i7/p1181
    • This publication is cited in the following 12 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 :1464
    References:70
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