A novel directly energy-preserving method for charged particle dynamics

Abstract

In this paper, we apply the coordinate increment discrete gradient (CIDG) method to solve the Lorentz force system which can be written as a non-canonical Hamiltonian system. Then we can obtain a new energy-preserving CIDG-I method for the system. The CIDG-I method can combine with its adjoint method CIDG-II which is also a energy-preserving method to form a new method, namely CIDG-C method. The CIDG-C method is symmetrical and can conserve the Hamiltonian energy directly and exactly. With comparison to the well-used Boris method, numerical experiments indicate that the CIDG-C method holds advantage over the Boris method in terms of energy-conserving.

arXiv commentThe Fig. 5(b) in the original paper contains an error. We submit the correct Fig. 5(b) and an errata in this paper, which is described in remark4.1

References in corpus (1)

• High-order energy-conserving Line Integral Methods for charged particle dynamics