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 Yang | 1 | 1 | 0.40 |
Xingjun Luo | 2 | 4 | 1.21 |
Fanchun Li | 3 | 1 | 0.73 |
Guangqing Long | 4 | 31 | 10.82 |