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 
ORCID: https://orcid.org/0000-0003-4849-2705
;
ORCID: https://orcid.org/0000-0003-4849-2705
;
Contact
christine.boeckmann [ at ] awi.de
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.
Item Type
Article
Authors
Pornsawad, Pornsarp, Resmerita, Elena and Böckmann, Christine ORCID: https://orcid.org/0000-0003-4849-2705
;
ORCID: https://orcid.org/0000-0003-4849-2705
;
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Primary Division
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
10.3390/math9091042
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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),
pp. 1-15
.
doi: 10.3390/math9091042
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