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- W2949596265 abstract "We review some recent developments in numerical algorithms to solve the time-dependent Maxwell equations for systems with spatially varying permittivity and permeability. We show that the Suzuki product-formula approach can be used to construct a family of unconditionally stable algorithms, the conventional Yee algorithm, and two new variants of the Yee algorithm that do not require the use of the staggered-in-time grid. We also consider a one-step algorithm, based on the Chebyshev polynomial expansion, and compare the computational efficiency of the one-step, the Yee-type, the alternating-direction-implicit, and the unconditionally stable algorithms. For applications where the long-time behavior is of main interest, we find that the one-step algorithm may be orders of magnitude more efficient than present multiple time-step, finite-difference time-domain algorithms." @default.
- W2949596265 created "2019-06-27" @default.
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- W2949596265 date "2002-10-08" @default.
- W2949596265 modified "2023-09-27" @default.
- W2949596265 title "Numerical methods for solving the time-dependent Maxwell equations" @default.
- W2949596265 hasPublicationYear "2002" @default.
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