A discrete line integral method of order two for the Lorentz force system

Haochen Li and Yushun Wang

Applied Mathematics and Computation, 2016, vol. 291, issue C, 207-212

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 ν ≤ 4. 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.

Keywords: Hamiltonian system; Energy-preserving; Discrete line integral method (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:291:y:2016:i:c:p:207-212

DOI: 10.1016/j.amc.2016.06.044

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