Symplectic Difference Schemes for Hamiltonian Systems
Symplectic Difference Schemes for Hamiltonian Systems
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DOI：
10.1007/978-3-642-01777-3_5
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
K. Feng;M. Qin
中科院分区：
文献类型：
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作者：
K. Feng;M. Qin
对于与时间无关的哈密顿系统，相流的正则性是其最重要的性质之一。它可确保相位面积和相位体积的保持。因此，保持差分格式从一个时间步到下一个时间步的过渡的规范性在哈密顿系统的数值解中也是重要的。本章的目标是找到一些简单的辛格式，即，在现有的差分格式中，识别哪一个是辛的。
The canonicity of the phase flow for time-independent Hamiltonian systems is one of the most important properties. It ensures the preservation of phase areas and the phase volume. Thus, preserving the canonicity of transition of difference schemes from one time step to the next is also important in the numerical solutions of Hamiltonian systems. The goal of this chapter is to find some simple symplectic schemes, i.e., to identify which one, among the existing difference schemes, is symplectic.