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Sequential predictor-corrector regularization methods and their limitations
| Content Provider | Scilit |
|---|---|
| Author | Ring, Wolfgang Prix, Johannes |
| Copyright Year | 2000 |
| Description | Journal: Inverse Problems A well known sequential predictor-corrector regularization method for the stable solution of ill-posed Volterra problems is analysed. Under a certain stability assumption well-posedness and convergence results are obtained. Under the additional assumption of smoothness for the exact solution, convergence rates are proved. It is also proved that the stability condition cannot be satisfied for Volterra problems with ν-smoothing kernels, where ν≥5. Numerical examples are presented showing the stable and the unstable situations and verifying numerically the convergence rate result. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/16/3/306/pdf |
| Ending Page | 633 |
| Page Count | 15 |
| Starting Page | 619 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/16/3/306 |
| Journal | Inverse Problems |
| Issue Number | 3 |
| Volume Number | 16 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2000-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Applied Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
