Efficient energy-preserving methods for charged-particle dynamics

TL;DR

This paper develops and analyzes energy-preserving numerical methods for charged-particle dynamics, demonstrating their ability to exactly conserve energy and outperform traditional methods like Boris in long-term simulations.

Contribution

Introduction of novel energy-preserving methods that exactly conserve energy and exhibit superior long-term momentum conservation for charged-particle simulations.

Findings

Methods exactly preserve energy of charged-particle systems.

Numerical experiments show improved accuracy over Boris method.

Long-term momentum conservation is achieved with the new methods.

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.