Publication:
A modified asymptotical regularization of nonlinear ill-posed problems

Issued Date

2019-05-01

Resource Type

Article

ISSN

22277390

DOI

10.3390/math7050419

Other identifier(s)

2-s2.0-85073671835

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Mathematics. Vol.7, No.5 (2019), 419

Suggested Citation

Pornsarp Pornsawad, Nantawan Sapsakul, Christine Böckmann A modified asymptotical regularization of nonlinear ill-posed problems. Mathematics. Vol.7, No.5 (2019), 419. doi:10.3390/math7050419 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51223

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Title

A modified asymptotical regularization of nonlinear ill-posed problems

Author(s)

Pornsarp Pornsawad
 Nantawan Sapsakul
 Christine Böckmann

Other Contributor(s)

Universität Potsdam
 Silpakorn University
 Mahidol University

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.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/51223

Collections

Scopus 2019