Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field
Numerical Analysis
2020-09-15 v2 Numerical Analysis
Abstract
This paper studies explicit symplectic adapted exponential integrators for solving charged-particle dynamics in a strong and constant magnetic field. We first formulate the scheme of adapted exponential integrators and then derive its symplecticity conditions. Based on the symplecticity conditions, we propose five practical explicit symplectic adapted exponential integrators. Two numerical experiments are carried out and the numerical results demonstrate the remarkable numerical behavior of the new methods.
Keywords
Cite
@article{arxiv.1810.06038,
title = {Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field},
author = {Ting Li and Bin Wang},
journal= {arXiv preprint arXiv:1810.06038},
year = {2020}
}
Comments
The content of this manuscript is included in a new paper of ours as one section. We will submit the new paper to arXiv