Efficient energy-preserving methods for charged-particle dynamics
Numerical Analysis
2018-12-31 v1
Abstract
In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze its basic properties including algebraic order and symmetry. Then it is shown that these novel methods can exactly preserve the energy of charged-particle dynamics. Moreover, the long time momentum conservation is studied along such energy-preserving methods. A numerical experiment is carried out to illustrate the notable superiority of the new methods in comparison with the popular Boris method in the literature.
Cite
@article{arxiv.1812.11059,
title = {Efficient energy-preserving methods for charged-particle dynamics},
author = {Ting Li and Bin Wang},
journal= {arXiv preprint arXiv:1812.11059},
year = {2018}
}