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

dc.contributor.authorPornsarp Pornsawaden_US
dc.contributor.authorElena Resmeritaen_US
dc.contributor.authorChristine Böckmannen_US
dc.contributor.otherInstitut für Mathematik der Universität Potsdamen_US
dc.contributor.otherAlfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschungen_US
dc.contributor.otherAlpen-Adria-Universität Klagenfurten_US
dc.contributor.otherSilpakorn Universityen_US
dc.contributor.otherMahidol Universityen_US
dc.date.accessioned2022-08-04T08:56:44Z
dc.date.available2022-08-04T08:56:44Z
dc.date.issued2021-05-01en_US
dc.description.abstractWe 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.en_US
dc.identifier.citationMathematics. Vol.9, No.9 (2021)en_US
dc.identifier.doi10.3390/math9091042en_US
dc.identifier.issn22277390en_US
dc.identifier.other2-s2.0-85106178137en_US
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/123456789/77380
dc.rightsMahidol Universityen_US
dc.rights.holderSCOPUSen_US
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106178137&origin=inwarden_US
dc.subjectMathematicsen_US
dc.titleConvergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source conditionen_US
dc.typeArticleen_US
dspace.entity.typePublication
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106178137&origin=inwarden_US

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