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Journal of Computational and Applied Mathematics
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Journal of Computational and Applied Mathematics
Article . 2002
License: Elsevier Non-Commercial
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Journal of Computational and Applied Mathematics
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An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations

Authors: Xie, Zhongqiang; Chan, Chi-Hou; Zhang, Bo;

An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations

Abstract

The authors present a new finite-difference time-domain method which is fourth-order accurate both in time and space. The computational efficiency of the method is essentially improved compared to the original FD-TD method, but retains much of its simplicity. It can be easily adapted to cope with material discontinuities and different boundary conditions. Several numerical experiments illustrate the efficiency of the method, they indicate that dispersive errors can be effectively reduced.

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Keywords

explicit fourth order method, Applied Mathematics, Maxwell's equation, Yee's scheme, Experimental work for problems pertaining to optics and electromagnetic theory, Explicit fourth-order scheme, Yu's scheme, Computational Mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Maxwell's equations, FD-TD method, Staggered scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FDTD method, Finite difference methods applied to problems in optics and electromagnetic theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
43
Top 10%
Top 10%
Top 10%
hybrid