Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems
- This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under a Holder-type sourcewise condition if the Frechet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt, Lobatto, and Radau methods.
| Author details: | Pornsarp Pornsawad, Christine BöckmannORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1080/01630563.2016.1219744 |
| ISSN: | 0163-0563 |
| ISSN: | 1532-2467 |
| Title of parent work (English): | Numerical functional analysis and optimization : an international journal of rapid publication |
| Publisher: | Wiley-VCH |
| Place of publishing: | Philadelphia |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | Holder-type source condition; Nonlinear ill-posed problems; Runge-Kutta methods; regularization methods; stopping rules |
| Volume: | 37 |
| Number of pages: | 28 |
| First page: | 1562 |
| Last Page: | 1589 |
| Funding institution: | Faculty of Science of Silpakorn University; European Commission [025991, 289923] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
