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| HAL : hal-00332835, version 1 |
| DOI : 10.1137/080738830 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Mathematical Analysis 42, 5 (2010) 2155-2176 |
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| On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations |
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| Hassan Ibrahim 1Regis Monneau 1 |
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| (2010) |
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| In this paper, we study the rate of convergence in periodic homogenization of scalar ordinary differential equations. We provide a quantitative error estimate between the solutions of a first-order ordinary differential equation with rapidly oscillating coefficients and the limiting homogenized solution. As an application of our result, we obtain an error estimate for the solution of some particular linear transport equations. |
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| 1 : | Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS) |
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INRIA – Ecole des Ponts ParisTech |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Homogenization of ODEs – error estimates – transport equations |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00332835, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00332835 | |
| oai:hal.archives-ouvertes.fr:hal-00332835 | |
| Contributeur : Hassan Ibrahim | |
| Soumis le : Mercredi 22 Octobre 2008, 10:24:20 | |
| Dernière modification le : Mercredi 28 Septembre 2011, 17:59:34 | |
