Sun, 27 Jul 2008 07:15:37 BST CiteULike: norris's library [815 articles] http://www.citeulike.org/user/norris/article/2569688 CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2569688 <i>Applied Mathematics and Computation, Vol. 186, No. 1. (1 March 2007), pp. 670-684.</i><br /><br />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. A survey on symplectic and multi-symplectic algorithms Linghua Kong Ruxun Liu Xiaohong Zheng doi:10.1016/j.amc.2006.08.012 Applied Mathematics and Computation, Vol. 186, No. 1. (1 March 2007), pp. 670-684. 2008-03-21T12:55:17-00:00 2007 Applied Mathematics and Computation 186 1 670 684 numerical