Article ID Journal Published Year Pages File Type
4625535 Applied Mathematics and Computation 2016 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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