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

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

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...

Popoln opis

Bibliografske podrobnosti
Main Authors: Pornsarp Pornsawad, Elena Resmerita, Christine Böckmann
Format: Article
Jezik:English
Izdano: MDPI AG 2021-05-01
Serija:Mathematics
Teme:
nonlinear inverse problem
ill-posed problem
iterative regularization
Runge-Kutta methods
logarithmic source condition
discrepancy principle
Online dostop:https://www.mdpi.com/2227-7390/9/9/1042

Internet

https://www.mdpi.com/2227-7390/9/9/1042

Podobne knjige/članki