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In this paper we present an extended Krylov method to simulate the transient response of multiconductor transmission lines. The extended Krylov space is generated by the transmission line system matrix and its inverse. Loosely speaking, the idea is that early-times are approximated by powers of the system matrix, while late-times are approximated by powers of its inverse. Acting with the system matrix...
In this paper we present a Krylov subspace method to efficiently compute the low-frequency response of multiconductor transmission lines. Through a Lanczos-type algorithm we generate so-called spectral Lanczos decomposition approximations on an entire frequency interval of interest. Low frequencies are approximated first, since we use the inverse of the transmission line system matrix in the Lanczos...
In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general Courant-Friedrichs-Lewy stability condition can be written in terms of the spectral radius of the first-order Maxwell system matrix. In this paper we present upper bounds for this spectral radius and we use these bounds to obtain sufficient conditions...
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