Sat, 26 Jul 2008 00:38:53 BST CiteULike: norris Zheng http://www.citeulike.org/user/norris/author/Zheng 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 http://www.citeulike.org/user/norris/article/1147414 <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 459, No. 2031. (2003), pp. 527-538.</i> Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high-order tensors WN Zou QS Zheng doi:10.1098/rspa.2002.1053 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 459, No. 2031. (2003), pp. 527-538. 2007-03-08T14:52:45-00:00 2003 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 459 2031 527 538 anisotropy elasticity http://www.citeulike.org/user/norris/article/898298 <i>J. Elasticity (2006)</i> Decomposition of Large Incompressible Deformations QC He QS Zheng J. Elasticity (2006) 2006-10-15T16:05:11-00:00 2006 J. Elasticity anisotropy elasticity nonlinear