High-order energy-conserving Line Integral Methods for charged particle dynamics
Numerical Analysis
2019-10-17 v3
Abstract
In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line Integral Methods (LIMs), previously used for defining Hamiltonian Boundary Value Methods (HBVMs), a class of energy-conserving Runge-Kutta methods for Hamiltonian problems. A complete analysis of the new methods is provided, which is confirmed by a few numerical tests.
Keywords
Cite
@article{arxiv.1902.03030,
title = {High-order energy-conserving Line Integral Methods for charged particle dynamics},
author = {L. Brugnano and J. I. Montijano and L. Rández},
journal= {arXiv preprint arXiv:1902.03030},
year = {2019}
}
Comments
24 pages, 3 figures, 2 tables - few typos fixed