On the stability of the finite-difference time-domain method
type: Item
instance of: scholarly article
title: On the stability of the finite-difference time-domain method
zbMATH Open document ID: 0994.78016
author: Rob Remis
published in: Journal of Computational Physics
publication date: 2002-04-08T00:00:00Z
review text: The finite difference time domain method used for solving transient electromagnetic fields is studied. Maxwell equations are introduced, normalized and written in terms of an iteration matrix form. The eigenvalue problem for this matrix is analysed. From this analysis a necessary and sufficient conditon for the finite-difference time domain method is found. It is also shown that for a particular step the 2-norm of the finite-difference time domain iteration matrix is equal to the golden ratio. The application of the stability condition in practice is shown. The results are illustrated for a simple one-dimensional configuration.
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 1538520
zbMATH Keywords: transient electromagnetic fields
zbMATH Keywords: Maxwell equations
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: jcph.2000.6573
OpenAlex ID: W2021800808
cites work: Q4856567
cites work: Q4383836
DOI: 10.1006/JCPH.2000.6573
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description: scientific article; zbMATH DE number 1538520