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Title: Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
Authors: Heh, Ding Yu
Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2010
Source: Heh, D. Y., & Tan, E. L. (2011). Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media. IEEE Transactions on Antennas and Propagation, 59(3), 979-986. doi:10.1109/tap.2010.2103026
Journal: IEEE Transactions on Antennas and Propagation
Abstract: Lyapunov and matrix norm stability analysis is applied on various alternating-direction-implicit finite-difference time-domain (ADI-FDTD) schemes for doubly lossy media. The stability analysis is performed rigorously in both time and Fourier domains. Among the schemes considered are averaging, forward-backward, backward-forward, forward-forward, exponential time differencing and backward-backward. From the analysis, it is found that all schemes except backward-backward scheme are unconditionally stable. For backward-backward scheme, the condition for stability is determined.
ISSN: 0018-926X
DOI: 10.1109/TAP.2010.2103026
Rights: © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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