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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 10, Pages 1801–1811 (Mi zvmmf9764)  
This article is cited in 1 scientific paper (total in 1 paper)

Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3

L. M. Skvortsov

Bauman State Technical University, Moscow, Russia
Full-text PDF (350 kB) Citations (1)
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Abstract: Stiffly accurate Runge–Kutta collocation methods with explicit first stage are examined. The parameters of these methods are chosen so as to minimize the errors in the solutions to differential-algebraic equations of indices 2 and 3. This construction results in methods for solving such equations that are superior to the available Runge–Kutta methods.
Key words: differential-algebraic equations, differential index, implicit Runge–Kutta methods, order reduction phenomenon.
Received: 13.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 10, Pages 1373–1383
DOI: https://doi.org/10.1134/S0965542512100119
Bibliographic databases:
Document Type: Article
UDC: 519.622.1
Language: Russian
Citation: L. M. Skvortsov, “Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3”, Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012), 1801–1811; Comput. Math. Math. Phys., 52:10 (2012), 1373–1383
Citation in format AMSBIB
\Bibitem{Skv12}
\by L.~M.~Skvortsov
\paper Runge--Kutta collocation methods for differential-algebraic equations of indices~2 and~3
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2012
\vol 52
\issue 10
\pages 1801--1811
\mathnet{http://mi.mathnet.ru/zvmmf9764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3150294}
\zmath{https://zbmath.org/?q=an:1274.65198}
\transl
\jour Comput. Math. Math. Phys.
\yr 2012
\vol 52
\issue 10
\pages 1373--1383
\crossref{https://doi.org/10.1134/S0965542512100119}
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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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :150
    References:48
    First page:22
     
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