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Discrete line integral method for the Lorentz force system

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arxiv 1505.02962 v1 pith:RYEPQNEH submitted 2015-05-12 math.NA cs.NA

Haochen Li , Yushun Wang This is my paper
classification math.NAcs.NA
keywords methodsystemdiscreteforceintegrallinelorentzapply
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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 $\nu \leq 4$. 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.

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