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| HAL: hal-00594785, version 1 |
| DOI: 10.1090/S0025-5718-07-01912-6 |
| Detailed view |  Export this paper |
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| Mathematics of Computation / Mathematics of Computation 77, 261 (2008) 93-123 |
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| Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov-Poisson system |
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| Nicolas Besse 1, 2, 3Michel Mehrenberger 2, 4 |
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| For the CORIDA collaboration(s) |
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| (2008) |
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| Abstract: In this paper we present some classes of high-order semi-Lagran- gian schemes for solving the periodic one-dimensional Vlasov-Poisson system in phase-space on uniform grids. We prove that the distribution function $ f(t,x,v)$ and the electric field $ E(t,x)$ converge in the $ L^2$ norm with a rate of $\displaystyle \mathcal{O}\left(\Delta t^2 +h^{m+1}+ \frac{h^{m+1}}{\Delta t}\right),$ where $ m$ is the degree of the polynomial reconstruction, and $ \Delta t$ and $ h$ are respectively the time and the phase-space discretization parameters |
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| 1: | Institut Jean Lamour : Matériaux -Métallurgie - Nanosciences - Plasma - Surfaces (IJL) |
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Université Henri Poincaré - Nancy I – CNRS : UMR7198 – Institut National Polytechnique de Lorraine (INPL) – Université Paul Verlaine - Metz |
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| 2: | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
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CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
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| 3: | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| 4: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université de Strasbourg |
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| Subject | : | Mathematics/Numerical Analysis |
| hal-00594785, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00594785 | |
| oai:hal.archives-ouvertes.fr:hal-00594785 | |
| From: Nicolas Besse | |
| Submitted on: Friday, 20 May 2011 20:13:03 | |
| Updated on: Friday, 28 September 2012 08:50:18 | |
