Title :
Solution of the Tridiagonal Matrix System in ADI-FDTD
Author :
Yuan, Zhiyong ; Li, Tun ; He, Jinliang ; Chen, Shuiming ; Zeng, Rong ; Zhang, Bo ; Gu, Shanqiang
Author_Institution :
Dept. of Electr. Eng., Tsinghua Univ., Beijing
Abstract :
The alternating-direction-implicit finite-difference time-domain method (ADI-FDTD) is considered as a very efficient algorithm. The key problem of the implementation of the ADI-FDTD method is to solve the tridiagonal matrix system. Two numerical algorithms for the tridiagonal matrix system are analyzed in detail in this paper. The interpretations for the stability of the algorithms are also given clearly
Keywords :
finite difference time-domain analysis; matrix algebra; algorithms stability; alternating-direction-implicit-FDTD; finite-difference time-domain method; tridiagonal matrix system; Algorithm design and analysis; Books; Finite difference methods; Gaussian processes; Neural networks; Numerical stability; Power system transients; Stability analysis; Tellurium; Time domain analysis;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1633256