A survey on symplectic and multi-symplectic algorithms

@article{citeulike:2569688, abstract = {We simply review symplectic and multi-symplectic algorithms in the paper. These algorithms have many superiorities to general non-symplectic algorithms, such as: they have long time behavior; they can preserve the symplectic geometry structure of the Hamiltonian system exactly; and they can simulate original physical phenomena well. Some commonly used methods to construct symplectic and multi-symplectic schemes are simply surveyed. Numerical examples are also enumerated to illustrate their performances.}, author = {Kong, Linghua and Liu, Ruxun and Zheng, Xiaohong }, citeulike-article-id = {2569688}, doi = {10.1016/j.amc.2006.08.012}, journal = {Applied Mathematics and Computation}, keywords = {numerical}, month = {March}, number = {1}, pages = {670--684}, posted-at = {2008-03-21 12:55:34}, priority = {2}, title = {A survey on symplectic and multi-symplectic algorithms}, url = {http://dx.doi.org/10.1016/j.amc.2006.08.012}, volume = {186}, year = {2007} }

TY - JOUR ID - citeulike:2569688 TI - A survey on symplectic and multi-symplectic algorithms JF - Applied Mathematics and Computation VL - 186 IS - 1 SP - 670 EP - 684 N2 - We simply review symplectic and multi-symplectic algorithms in the paper. These algorithms have many superiorities to general non-symplectic algorithms, such as: they have long time behavior; they can preserve the symplectic geometry structure of the Hamiltonian system exactly; and they can simulate original physical phenomena well. Some commonly used methods to construct symplectic and multi-symplectic schemes are simply surveyed. Numerical examples are also enumerated to illustrate their performances. KW - numerical AU - Kong, Linghua AU - Liu, Ruxun AU - Zheng, Xiaohong PY - 2007/03/01/ UR - http://dx.doi.org/10.1016/j.amc.2006.08.012 ER -