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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 5, Pages 62–67 (Mi ivm1408)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

A semiexplicit method for numerical solution of functional differential algebraic equations

A. V. Lekomtsev, V. G. Pimenov

Ural State University
Full-text PDF (170 kB) Citations (3)
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Abstract: We study systems with delay effect that contain additional algebraic relations. We propose semiexplicit numerical methods of the Rosenbrock type. We prove the solvability of equations of a numerical model and estimate the order of the global error. The chosen parameters provide the third order of the error.
Keywords: numerical methods, method of the Rosenbrock type, functional differential equations, interpolation-extrapolation operator.
Received: 19.06.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 5, Pages 54–58
DOI: https://doi.org/10.3103/S1066369X09050077
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: A. V. Lekomtsev, V. G. Pimenov, “A semiexplicit method for numerical solution of functional differential algebraic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 5, 62–67; Russian Math. (Iz. VUZ), 53:5 (2009), 54–58
Citation in format AMSBIB
\Bibitem{LekPim09}
\by A.~V.~Lekomtsev, V.~G.~Pimenov
\paper A semiexplicit method for numerical solution of functional differential algebraic equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 5
\pages 62--67
\mathnet{http://mi.mathnet.ru/ivm1408}
\zmath{https://zbmath.org/?q=an:1176.65077}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 5
\pages 54--58
\crossref{https://doi.org/10.3103/S1066369X09050077}
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  • https://www.mathnet.ru/eng/ivm/y2009/i5/p62
    • This publication is cited in the following 3 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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