On a class of L1-stable nonlinear cell-average multiresolution schemes

Authors:
S. Amat;K. Dadourian;J. Liandrat;J. Ruiz;J. C. Trillo
Affiliations:
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain;Ecole Superieure de Mecanique de Marseille, Laboratoire d'Analyse Topologie et Probabilites, France;Ecole Superieure de Mecanique de Marseille, Laboratoire d'Analyse Topologie et Probabilites, France;Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Spain;Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

This paper is devoted to the analysis of a general family of nonlinear cell-average multiresolution schemes. The L^1-stability of this multiresolution transform is analyzed. Some examples are presented.