This article is cited in 3 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

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.

UDC: 519.622.1

Received: 30.10.2010
Revised: 17.01.2011

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:8, 1339–1352

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