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 PornsawadORCiDGND, Christine BöckmannORCiDGND |
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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 |