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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2604.10104 |
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| _version_ | 1866915932228550656 |
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| author | Hu, Mengting Li, Jiyong Wang, Bin |
| author_facet | Hu, Mengting Li, Jiyong Wang, Bin |
| contents | This paper introduces a novel second-order splitting scheme for charged-particle dynamics in strong magnetic fields characterized by the maximal ordering. The proposed scheme is explicit and symmetric, which respectively ensure the efficiency of the algorithm and its long-term near-conservation of energy. We rigorously prove that the scheme achieves improved error bounds for both the position and the velocity component parallel to the magnetic field, yielding a uniform second-order error bound under specific strong-field regimes. Numerical experiments confirm the optimal convergence rates and the long-term energy near conservation of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10104 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Improved error estimates of a new splitting scheme for charged-particle dynamics in strong magnetic field with maximal ordering Hu, Mengting Li, Jiyong Wang, Bin Numerical Analysis This paper introduces a novel second-order splitting scheme for charged-particle dynamics in strong magnetic fields characterized by the maximal ordering. The proposed scheme is explicit and symmetric, which respectively ensure the efficiency of the algorithm and its long-term near-conservation of energy. We rigorously prove that the scheme achieves improved error bounds for both the position and the velocity component parallel to the magnetic field, yielding a uniform second-order error bound under specific strong-field regimes. Numerical experiments confirm the optimal convergence rates and the long-term energy near conservation of the method. |
| title | Improved error estimates of a new splitting scheme for charged-particle dynamics in strong magnetic field with maximal ordering |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.10104 |