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Volume 32, Issue 4
Poisson Integrators Based on Splitting Method for Poisson Systems

Beibei Zhu, Lun Ji, Aiqing Zhu & Yifa Tang

DOI: 10.4208/cicp.OA-2022-0144

Commun. Comput. Phys., 32 (2022), pp. 1129-1155.

Published online: 2022-10

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  • Abstract

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.

  • Keywords

Poisson systems, Poisson integrators, splitting method, energy conservation.

  • AMS Subject Headings

65P10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-32-1129, author = {Zhu , BeibeiJi , LunZhu , Aiqing and Tang , Yifa}, title = {Poisson Integrators Based on Splitting Method for Poisson Systems}, journal = {Communications in Computational Physics}, year = {2022}, volume = {32}, number = {4}, pages = {1129--1155}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0144}, url = {http://global-sci.org/intro/article_detail/cicp/21141.html} }
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 -

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.

Beibei Zhu, Lun Ji, Aiqing Zhu & Yifa Tang. (2022). Poisson Integrators Based on Splitting Method for Poisson Systems. Communications in Computational Physics. 32 (4). 1129-1155. doi:10.4208/cicp.OA-2022-0144
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