Convergence of a nonlinear wavelet algorithm for the solution of PDEs
type: Item
instance of: scholarly article
title: Convergence of a nonlinear wavelet algorithm for the solution of PDEs
zbMATH Open document ID: 1020.65077
DOI: 10.1016/S0893-9659(02)00152-0
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The convergence properties of Richardson type iterative algorithms using nonlinear wavelet approximation are studied. The nonlinear scheme is analyzed for a general class of elliptic partial differential equations (PDEs). Stability and approximation error estimates for the abstract scheme are proven.
reviewed by: Kai Schneider
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1878936
zbMATH Keywords: convergence
zbMATH Keywords: adaptivity
zbMATH Keywords: nonlinear approximation
zbMATH Keywords: wavelets
zbMATH Keywords: iterative schemes
zbMATH Keywords: Richardson extrapolation
zbMATH Keywords: stability
zbMATH Keywords: algorithms
zbMATH Keywords: error estimates
author: Silvia Bertoluzza
author: M. Verani
MaRDI profile type: Publication
cites work: Multilevel decompositions of functional spaces
cites work: Stability of multiscale transformations
cites work: Hyperbolic wavelet approximation
cites work: Compression of Wavelet Decompositions
description: scientific article; zbMATH DE number 1878936