Year: 2004
Author: Aiguo Xiao, Siqing Gan
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 791–796
Abstract
Some characterizations for symmetric multistep Runge-Kutta (RK) methods are obtained. Symmetric two-step RK methods with one and two-stages are presented. Numerical examples show that symmetry of multistep RK methods alone is not sufficient for long time integration for reversible Hamiltonian systems. This is an important difference between one-step and multistep symmetric RK methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-8867
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 791–796
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Multistep Runge-Kutta method Symmetry.