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arXiv · 2205.05281

Poisson Integrators based on splitting method for Poisson systems

Beibei Zhu·Lun Ji·Aiqing Zhu·Yifa Tang
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Abstract

We propose Poisson integrators for the numerical integration of separable Poisson systems. We analyze three situations in which the Poisson systems are separated in three ways and the 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 phase orbit tracking, long-term energy conservation and efficiency.

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Beibei Zhu, Lun Ji, Aiqing Zhu, Yifa Tang. 2022-05-11. Poisson Integrators based on splitting method for Poisson systems. https://doi.org/10.4208/cicp.oa-2022-0144

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