Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2002
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| _version_ | 1866914099448774656 |
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| author | Rein, Gerhard Rodewis, Thomas |
| author_facet | Rein, Gerhard Rodewis, Thomas |
| contents | We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized version of this system which is suitable for numerical implementation and is based on the particle-in-cell technique. Convergence of the resulting approximate solutions to the exact solution is proven and error bounds are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0209336 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system Rein, Gerhard Rodewis, Thomas Numerical Analysis General Relativity and Quantum Cosmology Mathematical Physics 65M12 We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized version of this system which is suitable for numerical implementation and is based on the particle-in-cell technique. Convergence of the resulting approximate solutions to the exact solution is proven and error bounds are provided. |
| title | Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system |
| topic | Numerical Analysis General Relativity and Quantum Cosmology Mathematical Physics 65M12 |
| url | https://arxiv.org/abs/math/0209336 |