Publication:
Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition

1

Issued Date

2021-05-01

Resource Type

Article

ISSN

22277390

DOI

10.3390/math9091042

Other identifier(s)

2-s2.0-85106178137

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Mathematics. Vol.9, No.9 (2021)

Suggested Citation

Pornsarp Pornsawad, Elena Resmerita, Christine Böckmann Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition. Mathematics. Vol.9, No.9 (2021). doi:10.3390/math9091042 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/77380

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Title

Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition

Author(s)

Pornsarp Pornsawad
 Elena Resmerita
 Christine Böckmann

Other Contributor(s)

Institut für Mathematik der Universität Potsdam
 Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung
 Alpen-Adria-Universität Klagenfurt
 Silpakorn University
 Mahidol University

Abstract

We prove the logarithmic convergence rate of the families of usual and modified iterative Runge–Kutta methods for nonlinear ill-posed problems between Hilbert spaces under the logarithmic source condition, and numerically verify the obtained results. The iterative regularization is terminated by the a posteriori discrepancy principle.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/77380

Collections

Scopus 2021