Publication: A modified asymptotical regularization of nonlinear ill-posed problems
| dc.contributor.author | Pornsarp Pornsawad | en_US |
| dc.contributor.author | Nantawan Sapsakul | en_US |
| dc.contributor.author | Christine Böckmann | en_US |
| dc.contributor.other | Universität Potsdam | en_US |
| dc.contributor.other | Silpakorn University | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2020-01-27T09:13:45Z | |
| dc.date.available | 2020-01-27T09:13:45Z | |
| dc.date.issued | 2019-05-01 | en_US |
| dc.description.abstract | © 2019 by the authors. In this paper, we investigate the continuous version of modified iterative Runge-Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work. The convergence analysis is proved under the tangential cone condition, a modified discrepancy principle, i.e., the stopping time T is a solution of ||F(xδ(T))-yδ||=τδ+ for some δ+ > δ, and an appropriate source condition. We yield the optimal rate of convergence. | en_US |
| dc.identifier.citation | Mathematics. Vol.7, No.5 (2019), 419 | en_US |
| dc.identifier.doi | 10.3390/math7050419 | en_US |
| dc.identifier.issn | 22277390 | en_US |
| dc.identifier.other | 2-s2.0-85073671835 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/51223 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073671835&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | A modified asymptotical regularization of nonlinear ill-posed problems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073671835&origin=inward | en_US |