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Title: Efficient algorithms for crank-nicolson-based finite-difference time-domain methods
Authors: Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2008
Source: Tan, E. L. (2008). Efficient algorithms for crank-nicolson-based finite-difference time-domain methods. IEEE Transactions on Microwave Theory and Techniques, 56(2), 408-413. doi:10.1109/TMTT.2007.914641
Journal: IEEE Transactions on Microwave Theory and Techniques
Abstract: This paper presents new efficient algorithms for implementing 3-D Crank-Nicolson-based finite-difference time-domain (FDTD) methods. Two recent methods are considered, namely, the Crank-Nicolson direct-splitting (CNDS) and Crank-Nicolson cycle-sweep-uniform (CNCSU) FDTD methods. The algorithms involve update equations whose right-hand sides are much simpler and more concise than the original ones. Analytical proof is provided to show the equivalence of original and present methods. Comparison of their implementations signifies substantial reductions of the floating-point operations count in the new algorithms. Other computational aspects are also optimized, particularly in regard to the for-looping overhead and the memory space requirement. Through numerical simulation and Fourier stability analysis, it is found that while the CNDS FDTD is unconditionally stable, the CNCSU FDTD may actually become unstable.
ISSN: 0018-9480
DOI: 10.1109/TMTT.2007.914641
Rights: © 2008 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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