An efficient energy-preserving algorithm for the Lorentz force system

Haochen Li and Qi Hong

Applied Mathematics and Computation, 2019, vol. 358, issue C, 161-168

Abstract: In this paper, by utilizing the invariant energy quadratization method to transform the original Hamiltonian energy functional into a quadratic form, we propose a novel energy-preserving scheme to solve the Lorentz force system. The method is a linear-implicit scheme for canonical Hamiltonian system, and can efficiently simulate the motion of charged particles in constant magnetic field. With comparison to the well-used Boris method and a similar energy-preserving BDLI method [26], numerical experiments are presented to demonstrate the energy-preserving property and computational efficiency of the method.

Keywords: Hamiltonian system; Energy-preserving; Invariant energy quadratization approach (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:161-168

DOI: 10.1016/j.amc.2019.04.035

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