Name
Title | ||
|---|---|---|
Fast multi-level iteration methods with compression technique for solving ill-posed integral equations |
Abstract | ||
|---|---|---|
We develop a multilevel iteration method with compression technique for solving ill-posed integral equations. The method leads to fast solutions of discrete regularization methods for the equations. Choice for a posteriori regularization parameter is proposed. An optimal convergence order for the method with the choices of parameters is established. The theoretical analysis and numerical experiments illustrate the accuracy and efficiency of the algorithm. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.07.043 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
compression technique,posteriori regularization parameter,optimal convergence order,numerical experiment,multi-level iteration method,multilevel iteration method,discrete regularization method,fast solution,ill-posed integral equation,theoretical analysis,tikhonov regularization | Tikhonov regularization,Convergence (routing),Compression (physics),Well-posed problem,Mathematical optimization,Iterative method,Mathematical analysis,A priori and a posteriori,Integral equation,Regularization (mathematics),Mathematics | Journal |
Volume | ISSN | Citations |
256, | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xingjun Luo | 1 | 4 | 1.21 |
| Linxiu Fan | 2 | 0 | 0.34 |
| Yongchao Wu | 3 | 0 | 0.34 |
| Fanchun Li | 4 | 1 | 0.73 |