hdl:10013/epic.edd5e3e9-ac55-479b-b528-fc694b841938
publisher:https://www.mdpi.com/2227-7390/9/9/1042

Convergence Rate of Runge-Kutta-Type Regularization for Nonlinear Ill-Posed Problems under Logarithmic Source Condition


Pornsawad, Pornsarp, Resmerita, Elena and Böckmann, Christine ;
Contact
christine.boeckmann [ at ] awi.de

Abstract

<jats:p>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.</jats:p>



Item Type
Article
Authors
Pornsawad, Pornsarp, Resmerita, Elena and Böckmann, Christine ;
Divisions
AWI Organizations > Climate Sciences > Atmospheric Physics
Primary Division
Organizations > AWI Organizations > Climate Sciences > Atmospheric Physics
Programs
Helmholtz Research Programs > CHANGING EARTH (2021-2027) > PT1:The Atmosphere in Global Change > ST1.2: Climate Feedbacks
Primary Topic
Helmholtz Programs > Helmholtz Research Programs > CHANGING EARTH (2021-2027) > PT1:The Atmosphere in Global Change > ST1.2: Climate Feedbacks
Publication Status
Published
Eprint ID
54060
DOI https://www.doi.org/10.3390/math9091042

Cite as
Pornsawad, P. , Resmerita, E. and Böckmann, C. (2021): Convergence Rate of Runge-Kutta-Type Regularization for Nonlinear Ill-Posed Problems under Logarithmic Source Condition , Mathematics, 9 (9), p. 1042 . doi: https://www.doi.org/10.3390/math9091042


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