TY  - JOUR
A1  - Pornsawad, Pornsarp
A1  - Böckmann, Christine
T1  - Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems
JF  - Numerical functional analysis and optimization : an international journal of rapid publication
N2  - This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under a Holder-type sourcewise condition if the Frechet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt, Lobatto, and Radau methods.
KW  - Nonlinear ill-posed problems
KW  - Runge-Kutta methods
KW  - regularization methods
KW  - Holder-type source condition
KW  - stopping rules
Y1  - 2016
U6  - https://doi.org/10.1080/01630563.2016.1219744
SN  - 0163-0563
SN  - 1532-2467
VL  - 37
SP  - 1562
EP  - 1589
PB  - Wiley-VCH
CY  - Philadelphia
ER  -