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CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS |
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| Authors: | Ai-guo Xiao School of Mathematics Computational Science Xiangtan University Xiangtan China Si-qing Gan School of Mathematics Sciences Computing Technology Central South University Changsha China |
| Affiliation: | Ai-guo Xiao School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China,Si-qing Gan School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410075,China |
| Abstract: | Some characterizations for symmetric multistep Runge-Kutta(RK)methods are ob-tained.Symmetric two-step RK methods with one and two-stages are presented.Numer-ical examples show that symmetry of multistep RK methods alone is not sufficient forlong time integration for reversible Hamiltonian systems.This is an important differencebetween one-step and multistep symmetric RK methods. |
| Keywords: | Multistep Runge-Kutta method Symmetry. |
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