A modified asymptotical regularization of nonlinear ill-posed problems
© 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...
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th-mahidol.512232020-01-27T16:13:45Z A modified asymptotical regularization of nonlinear ill-posed problems Pornsarp Pornsawad Nantawan Sapsakul Christine Böckmann Universität Potsdam Silpakorn University Mahidol University Mathematics © 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. 2020-01-27T09:13:45Z 2020-01-27T09:13:45Z 2019-05-01 Article Mathematics. Vol.7, No.5 (2019), 419 10.3390/math7050419 22277390 2-s2.0-85073671835 https://repository.li.mahidol.ac.th/handle/123456789/51223 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073671835&origin=inward |
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Mathematics Pornsarp Pornsawad Nantawan Sapsakul Christine Böckmann A modified asymptotical regularization of nonlinear ill-posed problems |
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© 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. |
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Universität Potsdam |
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Universität Potsdam Pornsarp Pornsawad Nantawan Sapsakul Christine Böckmann |
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Article |
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Pornsarp Pornsawad Nantawan Sapsakul Christine Böckmann |
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Pornsarp Pornsawad |
title |
A modified asymptotical regularization of nonlinear ill-posed problems |
title_short |
A modified asymptotical regularization of nonlinear ill-posed problems |
title_full |
A modified asymptotical regularization of nonlinear ill-posed problems |
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A modified asymptotical regularization of nonlinear ill-posed problems |
title_full_unstemmed |
A modified asymptotical regularization of nonlinear ill-posed problems |
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modified asymptotical regularization of nonlinear ill-posed problems |
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2020 |
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https://repository.li.mahidol.ac.th/handle/123456789/51223 |
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