TY - JOUR
T1 - Poisson Integrators Based on Splitting Method for Poisson Systems
AU - Zhu , Beibei
AU - Ji , Lun
AU - Zhu , Aiqing
AU - Tang , Yifa
JO - Communications in Computational Physics
VL - 4
SP - 1129
EP - 1155
PY - 2022
DA - 2022/10
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2022-0144
UR - https://global-sci.org/intro/article_detail/cicp/21141.html
KW - Poisson systems, Poisson integrators, splitting method, energy conservation.
AB - <p style="text-align: justify;">We propose Poisson integrators for the numerical integration of separable
Poisson systems. We analyze three situations in which Poisson systems are separated
in three ways and Poisson integrators can be constructed by using the splitting method.
Numerical results show that the Poisson integrators outperform the higher order non-Poisson integrators in terms of long-term energy conservation and computational cost.
The Poisson integrators are also shown to be more efficient than the canonicalized
sympletic methods of the same order.</p>