Order properties of symplectic runge-kutta-nyström methods
✍ Scribed by Ai-Guo Xiao; Yi-Fa Tang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 652 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
A new Runge-Kutta-Nystr6m pair of orders eight and six is presented here. Its main advantage is that it is of zero dissipation so it possesses an interval of periodicity. Numerical results over a set of problems demonstrate the superiority of the method in problems with periodic solution. (~) 1998 E
We investigate the symplecticity of multistep Runge-Kutta methods (MRKMs) as general linear methods (GLMs) for Hamiltonian systems in accordance with the definition due to Bochev and Scovel [1], Eirola and Sanz-Serna [2], and Hairer and Leone [3,4]. We present a necessary and sufficient condition fo