This article is cited in 1 paper

Simple technique for constructing stability polynomials for explicit stabilized Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University

Abstract: The problem of constructing stability polynomial of the given degree is considered. This polynomial provides the given order of exponential approximation and the maximum length of stability domain along the real axis. The technique for the approximate solving this problem, which demands of tuning only two parameters, is proposed.

Keywords: explicit Runge–Kutta methods, stiff problems, stability polynomials.

UDC: 519.622

Received: 25.11.2009

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