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Numerical Functional Analysis and Optimization Volume 25, 2004 - Issue 5-6
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Original Articles

Adaptive Approximation of Nonlinear Operators

Sergio Amat Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain; Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, SpainCorrespondence[email protected]
,
Sonia Busquier Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain
&
Mehdi Negra Laboratoire de Analyse Topologie et Probabilities, Ecole Généraliste de Ingénieurs, Marseille, France
Pages 397-405 | Published online: 31 Aug 2006
 
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Abstract

A multiresolution transform corresponding to interpolatory techniques is used for fast application of second order Taylor's approximations. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the approximation. Analysis of the error is performed. Finally, some numerical results are presented.

Mathematics Subject Classifications:

Acknowledgment

The research of first author and the last author was supported in part by PI-53/00809/FS/01 and in part by a grant of CNASEA, respectively.

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