A dynamic domain semi-Lagrangian method for stochastic Vlasov equations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917315490086912 |
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| author | Cui, Jianbo Sheng, Derui Zhang, Chenhui Zhou, Tau |
| author_facet | Cui, Jianbo Sheng, Derui Zhang, Chenhui Zhou, Tau |
| contents | We propose a dynamic domain semi-Lagrangian method for stochastic Vlasov equations driven by transport noises, which arise in plasma physics and astrophysics. This method combines the volume-preserving property of stochastic characteristics with a dynamic domain adaptation strategy and a reconstruction procedure. It offers a substantial reduction in computational costs compared to the traditional semi-Lagrangian techniques for stochastic problems. Furthermore, we present the first-order convergence analysis of the proposed method, partially addressing the conjecture in the work [C.-E. Bréhier and D. Cohen, J. Comput. Dyn., 2024] on the convergence order of numerical methods for stochastic Vlasov equations. Several numerical tests are provided to show good performance of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A dynamic domain semi-Lagrangian method for stochastic Vlasov equations Cui, Jianbo Sheng, Derui Zhang, Chenhui Zhou, Tau Numerical Analysis We propose a dynamic domain semi-Lagrangian method for stochastic Vlasov equations driven by transport noises, which arise in plasma physics and astrophysics. This method combines the volume-preserving property of stochastic characteristics with a dynamic domain adaptation strategy and a reconstruction procedure. It offers a substantial reduction in computational costs compared to the traditional semi-Lagrangian techniques for stochastic problems. Furthermore, we present the first-order convergence analysis of the proposed method, partially addressing the conjecture in the work [C.-E. Bréhier and D. Cohen, J. Comput. Dyn., 2024] on the convergence order of numerical methods for stochastic Vlasov equations. Several numerical tests are provided to show good performance of the proposed method. |
| title | A dynamic domain semi-Lagrangian method for stochastic Vlasov equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2502.13700 |