Poisson Integrators Based on Splitting Method for Poisson Systems

Poisson Integrators Based on Splitting Method for Poisson Systems

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

Beibei Zhu

Lun Ji

Aiqing Zhu

Yifa Tang