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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1434–1448 (Mi zvmmf9524)  
This article is cited in 2 scientific papers (total in 2 papers)

Explicit adaptive Runge–Kutta methods for stiff and oscillation problems

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005 Russia
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Abstract: Explicit Runge–Kutta methods with the coefficients tuned to the problem of interest are examined. The tuning is based on estimates for the dominant eigenvalues of the Jacobian matrix obtained from the results of the preliminary stages. Test examples demonstrate that methods of this type can be efficient in solving stiff and oscillation problems.
Key words: explicit Runge–Kutta methods, stiff problems, oscillation problems, Cauchy problem for a system of first order ordinary differential equations.
Received: 30.10.2010
Revised: 17.01.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 8, Pages 1339–1352
DOI: https://doi.org/10.1134/S0965542511080173
Bibliographic databases:
Document Type: Article
UDC: 519.622.1
Language: Russian
Citation: L. M. Skvortsov, “Explicit adaptive Runge–Kutta methods for stiff and oscillation problems”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1434–1448; Comput. Math. Math. Phys., 51:8 (2011), 1339–1352
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
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