Yet Another Look at FDTD Numerical Errors [EM Programmer's Notebook]

In this communication, we revisit and discuss the relationships among the truncation, discretization, phase, and amplitude dispersion errors of a finite-difference scheme. We show with a simple example how the truncation-error analysis plays a critical role in understanding the numerical inaccuracie...

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Bibliographic Details
Published in:IEEE antennas & propagation magazine 2007-06, Vol.49 (3), p.156-161
Main Authors: Garcia, Salvador G., Rubio Bretones, A., Fernadez Pantoja, M., Gomez Lopez, R.
Format: Magazinearticle
Language:English
Subjects:
Algorithm design and analysis
Computational electromagnetics
Dispersion
Error analysis
Finite difference methods
Finite wordlength effects
Maxwell equations
Numerical analysis
Taylor series
Time domain analysis
Citations: Items that this one cites
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Summary:In this communication, we revisit and discuss the relationships among the truncation, discretization, phase, and amplitude dispersion errors of a finite-difference scheme. We show with a simple example how the truncation-error analysis plays a critical role in understanding the numerical inaccuracies not revealed by numerical-dispersion analyses.
ISSN:1045-9243
1558-4143
DOI:10.1109/MAP.2007.4293958