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| HAL : hal-00412050, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Stability of finite difference schemes for hyperbolic initial boundary value problems II |
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| Jean-Francois Coulombel 1, 2 |
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| (31/08/2009) |
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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 the uniform Kreiss-Lopatinskii condition yields strong stability for the discretized initial boundary value problem. The present work extends results of Gustafsson, Kreiss, Sundstrom and a former work of ours to the widest possible class of finite difference schemes by dropping some technical assumptions. We give some new examples of numerical schemes for which our results apply. |
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| 1 : | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille 1 - Sciences et Technologies |
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| 2 : | SIMPAF (INRIA Lille - Nord Europe) |
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INRIA – Université Lille 1 - Sciences et Technologies – CNRS : UMR |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Hyperbolic systems – boundary value problems – finite difference schemes – stability |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00412050, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00412050 | |
| oai:hal.archives-ouvertes.fr:hal-00412050 | |
| Contributeur : Jean-Francois Coulombel | |
| Soumis le : Lundi 31 Août 2009, 15:26:12 | |
| Dernière modification le : Lundi 31 Août 2009, 20:12:29 | |
