Convergence rate of runge–kutta-type regularization for nonlinear ill-posed problems under logarithmic source condition

• Main Authors: Pornsarp Pornsawad, Elena Resmerita, Christine Böckmann
• Other Authors: Institut für Mathematik der Universität Potsdam
• Format: Article
• Published: 2022
• Subjects: Mathematics
• Online Access: https://repository.li.mahidol.ac.th/handle/123456789/77380
• Institution: Mahidol University

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...