Random batch particle methods for the homogeneous Landau equation
We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the particle methods proposed by Carrillo et al. [J. Comput. Phys.: X 7: 100066, 2020] using the random batch strategy. The coll...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Global Science Press
2022
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| _version_ | 1826308084290551808 |
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| author | Carrillo, JA Jin, S Tang, Y |
| author_facet | Carrillo, JA Jin, S Tang, Y |
| author_sort | Carrillo, JA |
| collection | OXFORD |
| description | We consider in this paper random batch particle methods for efficiently
solving the homogeneous Landau equation in plasma physics. The methods are
stochastic variations of the particle methods proposed by Carrillo et al. [J.
Comput. Phys.: X 7: 100066, 2020] using the random batch strategy. The
collisions only take place inside the small but randomly selected batches so
that the computational cost is reduced to $O(N)$ per time step. Meanwhile, our
methods can preserve the conservation of mass, momentum, energy and the decay
of entropy. Several numerical examples are performed to validate our methods. |
| first_indexed | 2024-03-07T07:14:14Z |
| format | Journal article |
| id | oxford-uuid:b2dcf3d9-1549-4020-a710-e29561ddcc95 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:14:14Z |
| publishDate | 2022 |
| publisher | Global Science Press |
| record_format | dspace |
| spelling | oxford-uuid:b2dcf3d9-1549-4020-a710-e29561ddcc952022-07-19T14:03:41ZRandom batch particle methods for the homogeneous Landau equationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b2dcf3d9-1549-4020-a710-e29561ddcc95EnglishSymplectic ElementsGlobal Science Press2022Carrillo, JAJin, STang, YWe consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the particle methods proposed by Carrillo et al. [J. Comput. Phys.: X 7: 100066, 2020] using the random batch strategy. The collisions only take place inside the small but randomly selected batches so that the computational cost is reduced to $O(N)$ per time step. Meanwhile, our methods can preserve the conservation of mass, momentum, energy and the decay of entropy. Several numerical examples are performed to validate our methods. |
| spellingShingle | Carrillo, JA Jin, S Tang, Y Random batch particle methods for the homogeneous Landau equation |
| title | Random batch particle methods for the homogeneous Landau equation |
| title_full | Random batch particle methods for the homogeneous Landau equation |
| title_fullStr | Random batch particle methods for the homogeneous Landau equation |
| title_full_unstemmed | Random batch particle methods for the homogeneous Landau equation |
| title_short | Random batch particle methods for the homogeneous Landau equation |
| title_sort | random batch particle methods for the homogeneous landau equation |
| work_keys_str_mv | AT carrilloja randombatchparticlemethodsforthehomogeneouslandauequation AT jins randombatchparticlemethodsforthehomogeneouslandauequation AT tangy randombatchparticlemethodsforthehomogeneouslandauequation |