Cell-Average Multiwavelets Based on Hermite Interpolation

F. Aràndiga (), A. Baeza () and R. Donat ()
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F. Aràndiga: Universitat de València, Departament de Matemàtica Aplicada
A. Baeza: Universitat de València, Departament de Matemàtica Aplicada
R. Donat: Universitat de València, Departament de Matemàtica Aplicada

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 654-661 from Springer

Abstract: Abstract Harten’s interpolatory multiresolution representation of data [2] has been extended in the case of point-value discretization to include Hermite interpolation by Warming and Beam in [3]. In this work we extend Harten’s framework for multiresolution analysis to the vector case for cell-averaged data, focusing on Hermite interpolatory techniques. Some numerical experiments compare the algorithm with some well known scalar methods.

Date: 2006
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DOI: 10.1007/978-3-540-34288-5_63

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