A new construction of boundary interpolating wavelets for fourth order problems
type: Item
instance of: scholarly article
title: A new construction of boundary interpolating wavelets for fourth order problems
zbMATH Open document ID: 1421.65033
author: Silvia Bertoluzza
author: Valerie Perrier
published in: Acta Applicandae Mathematicae
publication date: 2018-01-30T00:00:00Z
review text: The authors construct a MRA on the interval \((0,1)\), with mixed Lagrange-Hermite interpolating wavelet functions. As this MRA is a slight modification of the interpolating MRA introduced by \textit{D. Donoho} [``Interpolating wavelet transform'', preprint, Department of Statistics, Stanford University (1992)], it leads to fast decomposition, error estimates and norm equivalences. This construction is used in adaptive wavelet collocation schemes for the solution of one-dimensional fourth-order problems. Numerical tests conducted on the Euler-Bernoulli beam problem show the efficiency of the method.
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S25
zbMATH DE Number: 6832400
zbMATH Keywords: interpolating wavelets
zbMATH Keywords: wavelet collocation
zbMATH Keywords: Euler-Bernoulli beam problem
reviewed by: Yuri A. Farkov
describes a project that uses: advanpix
MaRDI profile type: Publication
full work available at URL: s10440-017-0110-9
OpenAlex ID: W2734629362
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DOI: 10.1007/S10440-017-0110-9
description: scientific article; zbMATH DE number 6832400