Title
A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization
Abstract
In this paper we develop a fast multiscale Galerkin method to solve the ill-posed integral equation via iterated Tikhonov regularization. This method leads to fast solutions of discrete iterated Tikhonov regularization. The convergence rates of iterated Tikhonov regularization are achieved by using a modified discrepancy principle. Finally, numerical experiments are given to illustrate the efficiency of the method.
Year
DOI
Venue
2013
10.1016/j.amc.2013.04.029
Applied Mathematics and Computation
Keywords
Field
DocType
modified discrepancy principle,numerical experiment,iterated tikhonov regularization,fast solution,discrete iterated tikhonov regularization,fast multiscale galerkin method,iterated regularization,ill-posed integral equation,convergence rate
Convergence (routing),Tikhonov regularization,Mathematical optimization,Well-posed problem,Mathematical analysis,Galerkin method,Integral equation,Regularization (mathematics),Iterated function,Mathematics,Regularization perspectives on support vector machines
Journal
Volume
Issue
ISSN
219
21
0096-3003
Citations 
PageRank 
References 
1
0.40
7
Authors
4
Name
Order
Citations
PageRank
Suhua Yang110.40
Xingjun Luo241.21
Fanchun Li310.73
Guangqing Long43110.82