A novel directly energy-preserving method for charged particle dynamics
<|reference_start|>A novel directly energy-preserving method for charged particle dynamics: In this paper, we apply the coordinate increment discrete gradient (CIDG) method to solve the Lorentz force system which can be written as a non-canonical Hamiltonian system. Then we can obtain a new energy-preserving CIDG-I method for the system. The CIDG-I method can combine with its adjoint method CIDG-II which is also a energy-preserving method to form a new method, namely CIDG-C method. The CIDG-C method is symmetrical and can conserve the Hamiltonian energy directly and exactly. With comparison to the well-used Boris method, numerical experiments indicate that the CIDG-C method holds advantage over the Boris method in terms of energy-conserving.<|reference_end|>
@article{li2024a,
    title={A novel directly energy-preserving method for charged particle dynamics},
    author={Yexin Li, Ping Jiang, Haochen Li},
    journal={J. Comput. Appl. Math., 446 (2024) 115869},
    year={2024},
    doi={10.1016/j.cam.2024.115869},
    archivePrefix={arXiv},
    eprint={2403.17322},
    primaryClass={math.NA cs.NA}
}