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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 12, Pages 2209–2222 (Mi zvmmf367)  
This article is cited in 37 scientific papers (total in 37 papers)

Diagonally implicit Runge–Kutta methods for stiff problems

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 107005, Russia
Full-text PDF (1516 kB) Citations (37)
Abstract: Diagonally implicit Runge–Kutta methods are examined. It is shown that, for stiff problems, the methods based on the minimization of certain error functions have advantages over other methods; these functions are determined in terms of the errors for simplest model equations. Methods of orders three, four, five, and six are considered.
Key words: ODE, stiff problems, diagonally implicit Runge–Kutta methods, SDIRK, ESDIRK.
Received: 27.03.2006
Revised: 30.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 12, Pages 2110–2123
DOI: https://doi.org/10.1134/S0965542506120098
Bibliographic databases:
Document Type: Article
UDC: 519.622.1
Language: Russian
Citation: L. M. Skvortsov, “Diagonally implicit Runge–Kutta methods for stiff problems”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006), 2209–2222; Comput. Math. Math. Phys., 46:12 (2006), 2110–2123
Citation in format AMSBIB
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\by L.~M.~Skvortsov
\paper Diagonally implicit Runge--Kutta methods for stiff problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 12
\pages 2209--2222
\mathnet{http://mi.mathnet.ru/zvmmf367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2344966}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 12
\pages 2110--2123
\crossref{https://doi.org/10.1134/S0965542506120098}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846173331}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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