Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell-Debye and Maxwell-Lorentz Equations

Abstract : 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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Contributor : Brigitte Bidégaray-Fesquet <>
Submitted on : Tuesday, February 5, 2008 - 10:53:30 AM
Last modification on : Tuesday, April 2, 2019 - 10:40:02 AM
Document(s) archivé(s) le : Thursday, September 23, 2010 - 5:06:43 PM

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  • HAL Id : hal-00005369, version 3
  • ARXIV : 0802.0579

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Brigitte Bidégaray-Fesquet. Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell-Debye and Maxwell-Lorentz Equations. 2008. ⟨hal-00005369v3⟩

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