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Volume 22, Issue 6
Characterizations of Symmetric Multistep Runge-Kutta Methods

Aiguo Xiao & Siqing Gan

J. Comp. Math., 22 (2004), pp. 791-796.

Published online: 2004-12

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  • 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.

  • Keywords

Multistep Runge-Kutta method, Symmetry.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-791, author = {Xiao , Aiguo and Gan , Siqing}, title = {Characterizations of Symmetric Multistep Runge-Kutta Methods}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8867.html} }
TY - JOUR T1 - Characterizations of Symmetric Multistep Runge-Kutta Methods AU - Xiao , Aiguo AU - Gan , Siqing JO - Journal of Computational Mathematics VL - 6 SP - 791 EP - 796 PY - 2004 DA - 2004/12 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8867.html KW - Multistep Runge-Kutta method, Symmetry. AB -

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.

Xiao , Aiguo and Gan , Siqing. (2004). Characterizations of Symmetric Multistep Runge-Kutta Methods. Journal of Computational Mathematics. 22 (6). 791-796. doi:
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