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Efficient energy-preserving methods for charged-particle dynamics

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  • Li, Ting
  • Wang, Bin

Abstract

In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze its basic properties including algebraic order and symmetry. Then it is shown that these novel methods can exactly preserve the energy of charged-particle dynamics. Moreover, the long time momentum conservation is studied along such energy-preserving methods. Two numerical experiments are carried out to illustrate the notable superiority of the new methods in comparison with the popular Boris method in the literature.

Suggested Citation

  • Li, Ting & Wang, Bin, 2019. "Efficient energy-preserving methods for charged-particle dynamics," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 703-714.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:703-714
    DOI: 10.1016/j.amc.2019.06.022
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Li, Xicui & Wang, Bin, 2023. "Long term analysis of splitting methods for charged-particle dynamics," Applied Mathematics and Computation, Elsevier, vol. 441(C).

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