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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 434–448 (Mi zvmmf4841)  
This article is cited in 10 scientific papers (total in 10 papers)

An embedded method for the integration of systems of structurally separated ordinary differential equations

A. S. Eremin, I. V. Olemskoĭ

Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr. 35, St. Peterburg, 198054 Russia
Full-text PDF (280 kB) Citations (10)
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Abstract: An explicit embedded method of the Dormand–Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical fifth-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.
Key words: Cauchy problem for systems of ordinary differential equations, embedded method, family of economical fifth-order numerical schemes, Dormand–Prince type methods, Runge–Kutta method.
Received: 22.03.2009
Revised: 29.09.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 414–427
DOI: https://doi.org/10.1134/S0965542510030048
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. S. Eremin, I. V. Olemskoǐ, “An embedded method for the integration of systems of structurally separated ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 434–448; Comput. Math. Math. Phys., 50:3 (2010), 414–427
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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