Error controlled regularization by projection
type: Item
instance of: scholarly article
title: Error controlled regularization by projection
zbMATH Open document ID: 1118.47057
author: Wolfgang Dahmen
author: Markus Jürgens
publication date: 2007-03-16T00:00:00Z
full work available at URL: https://eudml.org/doc/127835
full work available at URL: pp67-100.html
review text: The paper is concerned with the inverse Cauchy problem of finding the initial state \(u_0 \in D(A)\), given \(u(t)\) for some \(t>0\), \({\dot u}+Au=0\), \(u(0)=u_0\), where \(A: D(A) \subset X \to X\) is an unbounded operator in a Hilbert space \(X\). The suggested solution method is based on the Dunford integral representation for the semigroup \(S(t)=e^{-tA}\), combined with the application of recent wavelet methods.
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 47N40
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 65L09
zbMATH DE Number: 5134479
zbMATH Keywords: inverse problems
zbMATH Keywords: Dunford integrals
zbMATH Keywords: quadrature
zbMATH Keywords: Tikhonov method
zbMATH Keywords: projection methods
zbMATH Keywords: truncated SVD expansion
zbMATH Keywords: adaptive wavelet methods
reviewed by: Mikhail Yu. Kokurin
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 5134479