@article{PornsawadBoeckmann2016, author = {Pornsawad, Pornsarp and B{\"o}ckmann, Christine}, title = {Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems}, series = {Numerical functional analysis and optimization : an international journal of rapid publication}, volume = {37}, journal = {Numerical functional analysis and optimization : an international journal of rapid publication}, publisher = {Wiley-VCH}, address = {Philadelphia}, issn = {0163-0563}, doi = {10.1080/01630563.2016.1219744}, pages = {1562 -- 1589}, year = {2016}, abstract = {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.}, language = {en} }