Stability Analysis For The Aibo-Fdtd Method

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 (C) 2008 John Wiley & Sons, Ltd.