Discrete line integral method for the Lorentz force system
Numerical Analysis
2015-05-13 v1
Abstract
In this paper, we apply the Boole discrete line integral to solve the Lorentz force system which is written as a non-canonical Hamiltonian system. The method is exactly energy-conserving for polynomial Hamiltonians of degree . In any other case, the energy can also be conserved approximatively. With comparison to well-used Boris method, numerical experiments are presented to demonstrate the energy-preserving property of the method.
Cite
@article{arxiv.1505.02962,
title = {Discrete line integral method for the Lorentz force system},
author = {Haochen Li and Yushun Wang},
journal= {arXiv preprint arXiv:1505.02962},
year = {2015}
}