The Instability of the Yee Scheme for the "Magic Time Step"

Journal of Computational Physics

Volumn 166, Issue 2, 2001, Pages 418-424

  Min, M S ^a   Teng, C H ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Electromagnetics; Finite difference time domain; Stability; Von Neumann condition

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS;

ELECTROMAGNETICS; FINITE DIFFERENCE TIME DOMAINS; NEUMANN CONDITION; TIME STEP; VON NEUMANN CONDITION;

FINITE DIFFERENCE TIME DOMAIN METHOD;

EID: 0347078352     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6650     Document Type: Article

References (5)

1. K. S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in Isotropic media, IEEE Trans. Antennas Propag. 14, 302 (1966).
2. A. Taflove, Computational Electrodynamics, The Finite Difference Time Domain Method (Artech House, Norwood, MA, 1995).
3. D. Gottlieb, Lecture notes on finite difference methods, unpublished.
4. B. Gustafssom, H. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
5. R. F. Remis, On the stability of the finite difference time domain method, J. Comput. Phys. 163, 249 (2000).