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| HAL : hal-00339527, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (18-11-2008) | v2 (12-01-2009) |
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| Stability of finite difference schemes for hyperbolic initial boundary value problems |
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| Jean-Francois Coulombel 1, 2 |
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| (12/01/2009) |
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| We study the stability of finite difference schemes for hyperbolic initial boundary value problems in one space dimension. Assuming stability for the dicretization of the hyperbolic operator as well as a geometric regularity condition, we show that an appropriate determinant condition, that is the analogue of the uniform Kreiss-Lopatinskii condition for the continuous problem, yields strong stability for the discretized initial boundary value problem. The analysis relies on a suitable discrete block structure condition and the construction of suitable symmetrizers. Our work extends the results of Gustafsson, Kreiss, Sundstrom to a wider class of finite difference schemes. |
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| 1 : | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université des Sciences et Technologies de Lille - Lille I |
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| 2 : | SIMPAF (INRIA Lille - Nord Europe) |
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INRIA – Université des Sciences et Technologies de Lille - Lille I – CNRS : UMR |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Analyse numérique |
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| Hyperbolic systems – boundary conditions – finite difference schemes – stability – symmetrizers. |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00339527, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00339527 | |
| oai:hal.archives-ouvertes.fr:hal-00339527 | |
| Contributeur : Jean-Francois Coulombel | |
| Soumis le : Lundi 12 Janvier 2009, 16:12:09 | |
| Dernière modification le : Lundi 12 Janvier 2009, 16:13:28 | |
