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

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  • Li, Haochen
  • Wang, Yushun

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.

Suggested Citation

  • Li, Haochen & Wang, Yushun, 2016. "A discrete line integral method of order two for the Lorentz force system," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 207-212.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:207-212
    DOI: 10.1016/j.amc.2016.06.044
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    Cited by:

    1. Li, Ting & Wang, Bin, 2019. "Efficient energy-preserving methods for charged-particle dynamics," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 703-714.
    2. Li, Haochen & Hong, Qi, 2019. "An efficient energy-preserving algorithm for the Lorentz force system," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 161-168.

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