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   -> Volume 3, Issue 6


Preprint: Application of Complex Daubechies' Wavelets to Numerical...
 
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lgagnon@lps.umontreal.ca (Langis Gagnon)
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PostPosted: Mon Dec 02, 2002 12:59 pm    
Subject: Preprint: Application of Complex Daubechies' Wavelets to Numerical...
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Preprint: Application of Complex Daubechies' Wavelets to Numerical...

The following paper is available:

Title: Application of Complex Daubechies' Wavelets to Numerical
Simulation of a Nonlinear Signal Propagation Model

Abstract:
We report the first application of complex symmetric wavelets to
the numerical simulation of a nonlinear signal propagation model.
This model is the nonlinear Schrödinger equation that describes,
for instance, the evolution of the electric field amplitude in
nonlinear optical fibers. We propose and study a new way to
implement a global space-time adaptive grid, based on interpolation
properties of higher-order scaling functions.

L. Gagnon
Groupe PHYSNUM Labo. de Physique Nucleaire
Universite de Montreal, C. P. 6128, Succ. Centre-Ville
Montreal (Quebec) H3C 3J7 CANADA
email: lgagnon@lps.umontreal.ca
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