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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1047–1059 (Mi zvmmf4890)  
This article is cited in 13 scientific papers (total in 13 papers)

Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005 Russia
Full-text PDF (328 kB) Citations (13)
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Abstract: Diagonally implicit Runge-Kutta methods satisfying additional order conditions are examined. These conditions make it possible to solve differential algebraic equations of indices two and three to higher accuracy. Advantages of the proposed methods over other known techniques are demonstrated using test problems.
Key words: differential algebraic equations, differentiation index, diagonally implicit Runge–Kutta methods, SDIRK method, ESDIRK method.
Received: 07.10.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 6, Pages 993–1005
DOI: https://doi.org/10.1134/S0965542510060072
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: L. M. Skvortsov, “Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1047–1059; Comput. Math. Math. Phys., 50:6 (2010), 993–1005
Citation in format AMSBIB
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    • This publication is cited in the following 13 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:48
    First page:15
     
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