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

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

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...

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Main Authors: Pornsarp Pornsawad, Elena Resmerita, Christine Böckmann
Other Authors: Institut für Mathematik der Universität Potsdam
Format: Article
Published: 2022
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/77380
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spelling th-mahidol.773802022-08-04T15:56:44Z Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition Pornsarp Pornsawad Elena Resmerita Christine Böckmann Institut für Mathematik der Universität Potsdam Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung Alpen-Adria-Universität Klagenfurt Silpakorn University Mahidol University Mathematics 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. 2022-08-04T08:56:44Z 2022-08-04T08:56:44Z 2021-05-01 Article Mathematics. Vol.9, No.9 (2021) 10.3390/math9091042 22277390 2-s2.0-85106178137 https://repository.li.mahidol.ac.th/handle/123456789/77380 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106178137&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Pornsarp Pornsawad
Elena Resmerita
Christine Böckmann
Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
description 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.
author2 Institut für Mathematik der Universität Potsdam
author_facet Institut für Mathematik der Universität Potsdam
Pornsarp Pornsawad
Elena Resmerita
Christine Böckmann
format Article
author Pornsarp Pornsawad
Elena Resmerita
Christine Böckmann
author_sort Pornsarp Pornsawad
title Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
title_short Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
title_full Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
title_fullStr Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
title_full_unstemmed Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
title_sort convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition
publishDate 2022
url https://repository.li.mahidol.ac.th/handle/123456789/77380
_version_ 1763493595485044736

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