Poisson Integrators Based on Splitting Method for Poisson Systems  

作　　者：Beibei Zhu Lun Ji Aiqing Zhu Yifa Tang 

机构地区：[1]Department of Applied Mathematics,School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China [2]LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Communications in Computational Physics》2022年第9期1129-1155,共27页计算物理通讯（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11901564 and 12171466).

摘　　要：We propose Poisson integrators for the numerical integration of separable Poisson systems.We analyze three situations in which Poisson systems are separated in threeways and Poisson integrators can be constructed by using the splittingmethod.Numerical results show that the Poisson integrators outperform the higher order non-Poisson integrators in terms of long-termenergy conservation and computational cost.The Poisson integrators are also shown to be more efficient than the canonicalized sympletic methods of the same order.

关 键 词：Poisson systems Poisson integrators splitting method energy conservation 

分 类 号：O17[理学—数学]