On the wavelet based differentiation matrix
type: Item
instance of: scholarly article
title: On the wavelet based differentiation matrix
zbMATH Open document ID: 0788.65020
DOI: 10.1007/BF01060934
author: Leland Jameson
published in: Journal of Scientific Computing
publication date: 1994-05-30T00:00:00Z
review text: The Daubechies wavelet based differentiation matrix is constructed for periodic boundary conditions. It is proved that this matrix displays the very important property of superconvergence. Under the assumption of periodicity the author proves that the action of a differentiation matrix is equivalent to a finite difference operator with order of accuracy dependent on the chosen wavelet.
Mathematics Subject Classification ID: 65D25
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 473051
zbMATH Keywords: Daubechies wavelet based differentiation matrix
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: superconvergence
zbMATH Keywords: finite difference operator
reviewed by: Karel Najzar
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 473051