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| HAL : hal-00005369, version 3 |
| arXiv : 0802.0579 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (15-06-2005) | v2 (14-12-2007) | v3 (05-02-2008) |
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| Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell--Debye and Maxwell--Lorentz Equations |
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| Brigitte Bidégaray-Fesquet 1 |
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| (05/02/2008) |
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| This technical report yields detailed calculations of the paper [1] (B. Bidégaray-Fesquet, "Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations", Technical report, LMC-IMAG, 2005) which have been however automated since (see http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/). It deals with the stability analysis of various finite difference schemes for Maxwell--Debye and Maxwell--Lorentz equations. This work gives a systematic and rigorous continuation to Petropoulos previous work [5] (P.G. Petropoulos.,"Stability and phase error analysis of FD-TD in dispersive dielectrics", IEEE Transactions on Antennas and Propagation, 42(1):62--69, 1994). |
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| 1 : | Laboratoire Jean Kuntzmann (LJK) |
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CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| EDP |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Stability – Maxwell-Debye – Maxwell-Lorentz |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00005369, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00005369 | |
| oai:hal.archives-ouvertes.fr:hal-00005369 | |
| Contributeur : Brigitte Bidégaray-Fesquet | |
| Soumis le : Mardi 5 Février 2008, 10:53:30 | |
| Dernière modification le : Mardi 5 Février 2008, 11:11:57 | |
