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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 11, Pages 1920–1930 (Mi zvmmf4779)  
This article is cited in 2 scientific papers (total in 2 papers)

A simple technique for constructing two-step Runge–Kutta methods

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia
Full-text PDF (1058 kB) Citations (2)
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Abstract: A technique is proposed for constructing two-step Runge–Kutta methods on the basis of one-step methods. Explicit and diagonally implicit two-step methods with the second or third stage order are examined. Test problems are presented showing that the proposed methods are superior to conventional one-step techniques.
Key words: two-step Runge–Kutta methods, stage order, explicit methods, diagonally implicit methods, stiff systems of equations.
Received: 12.12.2008
Revised: 04.05.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 11, Pages 1837–1846
DOI: https://doi.org/10.1134/S0965542509110025
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, “A simple technique for constructing two-step Runge–Kutta methods”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 1920–1930; Comput. Math. Math. Phys., 49:11 (2009), 1837–1846
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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    References:46
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