On the Numerical Stability of the Precise Integration Time-Domain (PITD) Method

Author

Lele Jiang ; Zhizhang Chen ; Junfa Mao

Author_Institution

Shanghai Jiao Tong Univ., Shanghai

Volume

17

Issue

7

fYear

2007

fDate

7/1/2007 12:00:00 AM

Firstpage

471

Lastpage

473

Abstract

In this letter, the stability issue of the recently proposed 3-D precise integration time-domain (PITD) method is reinvestigated. It is found that the PITD is not unconditionally stable; its stability condition is strongly dependent on the preselected number of sub time-steps and sizes of numerical cells as well as the order of the approximation used. However, since the upper limit of time step is found to be proportional to the number of sub time-steps, the time step can be of a value much larger than the Courant-Friedrich-Levy limit of the conventional finite difference time domain. Numerical examples are presented to verify our analysis.

Keywords

finite difference time-domain analysis; integration; numerical stability; 3D PITD method; 3D precise integration time-domain method; Courant-Friedrich-Levy limit; finite difference time domain; numerical stability; Computational modeling; Eigenvalues and eigenfunctions; Electromagnetic fields; Equations; Finite difference methods; Magnetic fields; Matrices; Matrix decomposition; Numerical stability; Time domain analysis; Courant–Friedrich–Levy (CFL) limit; precise integration time-domain method (PITD); stability;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2007.899287

Filename

4266841