Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations

@article{BidgarayFesquet2008StabilityOF,
  title={Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations},
  author={Brigitte Bid{\'e}garay-Fesquet},
  journal={SIAM J. Numerical Analysis},
  year={2008},
  volume={46},
  pages={2551-2566}
}
The stability of five finite difference–time domain (FD–TD) schemes coupling Maxwell equations to Debye or Lorentz models have been analyzed in [1], where numerical evidence for specific media have been used. We use von Neumann analysis to give necessary and sufficient stability conditions for these schemes for any medium, in accordance with the partial results of [1]. To make this approach tractable for 2D and 3D models we have developed a Computer Algebra environment which has a wider range… CONTINUE READING

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