Premium
Stability analysis for the AIBO‐FDTD method
Author(s) -
Liu GuoSheng,
Zhang GuoJi,
Hu BinJie
Publication year - 2008
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.686
Subject(s) - finite difference time domain method , stability (learning theory) , computer science , block (permutation group theory) , spectral radius , mathematics , physics , optics , geometry , eigenvalues and eigenvectors , machine learning , quantum mechanics
The stability of the implicit finite‐difference time‐domain (FDTD) method named alternating implicit block overlapped (AIBO) FDTD is presented in this paper. Based on separation of variables method, the spectral radius of the growth matrix for AIBO‐FDTD is obtained. Analytical results show that the AIBO‐FDTDs both in one‐dimensional and two‐dimensional cases are unconditionally stable. But it is conditionally stable in 3D case, like the conventional FDTD. Numerical results are also presented to demonstrate its effectiveness for parallel processing. Copyright © 2008 John Wiley & Sons, Ltd.