Year: 2022
Author: Beibei Zhu, Lun Ji, Aiqing Zhu, Yifa Tang
Communications in Computational Physics, Vol. 32 (2022), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0144
Communications in Computational Physics, Vol. 32 (2022), Iss. 4 : pp. 1129–1155
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Poisson systems Poisson integrators splitting method energy conservation.
Author Details
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Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems
Zhu, Beibei
Ji, Lun
Zhu, Aiqing
Tang, Yifa
Chinese Physics B, Vol. 32 (2023), Iss. 2 P.020204
https://doi.org/10.1088/1674-1056/aca9c8 [Citations: 4]