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

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 . 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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Technical report (2008)