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A wavelet collocation method for evolution equations with energy conservation property

✍ Scribed by Toshihide Ueno; Takanori Ide; Masami Okada

Publisher
Elsevier Science
Year
2003
Tongue
French
Weight
131 KB
Volume
127
Category
Article
ISSN
0007-4497

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✦ Synopsis

We describe a wavelet collocation method of computing numerical solutions to evolution equations that inherit energy conservation law. This method is based on the wavelet sampling approximation with Coifman scaling systems combined with the generalized energy integrals. In this paper, we shall focus on the theoretical background of our approach.  2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

Résumé

Nous décrivons une méthode de collocation à base d'ondelettes pour calculer des solutions numériques aux équations d'évolution qui héritent de la loi de conservation d'énergie. Cette méthode est basée sur l'approximation par le système orthonormé de Coifman combinée avec les intégrales d'énergie généralisées. Dans cette note, nous allons nous concentrer sur le support théorique de notre approche.

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