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Communication Dans Un Congrès Année : 2011

Numerical stability for linear dispersive media via computer algebra

Résumé

The linear stability analysis of Finite Difference-Time Difference schemes can be reduced via von Neumann analysis to the study of a sequence of polynomials with coefficients depending on the physical parameters of the medium and the numerical parameters. A Computer Algebra environment has been designed to automize such calculations and is demonstrated on schemes for Maxwell-Debye and Maxwell-Lorentz systems. The possible generalization to other schemes and other applications will be emphasized.
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Dates et versions

hal-00750500 , version 1 (10-11-2012)

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  • HAL Id : hal-00750500 , version 1

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Brigitte Bidégaray-Fesquet. Numerical stability for linear dispersive media via computer algebra. ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada. ⟨hal-00750500⟩
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