This article is cited in 5 papers

Explicit adaptive Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University

Abstract: Adjusting the parameters of the integration formula to the problem under solution allows us to increase considerably efficiency of explicit Runge–Kutta methods when solving stiff problems. Construction of such adaptive methods is considered. Results of the solution of test problems in comparison with known methods are presented.

Keywords: explicit Runge–Kutta methods, stiff problems, nonstiff problems.

UDC: 519.622

Received: 07.12.2010

 English version: Mathematical Models and Computer Simulations, 2012, 4:1, 82–91

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