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Nonlinear multiscale decompositions: The approach of A. Harten

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Abstract

Data‐dependent interpolatory techniques can be used in the reconstruction step of a multiresolution scheme designed “à la Harten”. In this paper we carefully analyze the class of Essentially Non‐Oscillatory (ENO) interpolatory techniques described in [11] and their potential to improve the compression capabilities of multiresolution schemes. When dealing with nonlinear multiresolution schemes the issue of stability also needs to be carefully considered.

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Authors and Affiliations

  1. Departament de Matemática Aplicada, Universitat de València, E‐46007, València, Spain

    Francesc Aràndiga & Rosa Donat

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  1. Francesc Aràndiga
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  2. Rosa Donat
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Aràndiga, F., Donat, R. Nonlinear multiscale decompositions: The approach of A. Harten. Numerical Algorithms 23, 175–216 (2000). https://doi.org/10.1023/A:1019104118012

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