IJPAM: Volume 81, No. 3 (2012)
MULTISCALE SOLUTIONS OF THE ELECTROMAGNETIC
CONTINUITY DIFFERENTIAL EQUATION USING
PACKETS OF HARMONIC WAVELETS
CONTINUITY DIFFERENTIAL EQUATION USING
PACKETS OF HARMONIC WAVELETS
Paolo Mercorelli
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY
Abstract. This paper proposes an approach to the analysis of the
electromagnetic continuity differential equation of the Maxwell
equations. Solutions through dyadic harmonic wavelets at different
levels of resolution are presented. Wavelets approach, through their
different space-time levels of resolution, can favorably describe
the segmented space structure of some kinds of technical
applications.
Received: October 12, 2012
AMS Subject Classification: 65T60, 42B37, 35Q61
Key Words and Phrases: wavelets, harmonic analysis, Maxwell equations
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 3