CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS

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...

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Bibliographic Details
Published in:Journal of computational mathematics 2004-11, Vol.22 (6), p.791-796
Main Authors: Xiao, Ai-guo, Gan, Si-qing
Format: Article
Language:English
Subjects:
Computational mathematics
Mathematics
Runge Kutta method
Symmetry
Online Access:Get full text
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Summary: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.
ISSN:0254-9409
1991-7139