"Energy-based stability criterion for the finite-difference time-domain method,"
This paper presents an energy-based stability analysis for the classical FDTD scheme using Lyapunov functions. Following a short introduction on the Lyapunov functions, the application of the discrete counterpart is used to derive the well-known stability criterion for the FDTD method. Lossy or anisotropic (i.e. biaxial symmetry) media are seamless integrable into the derivation.
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