Filtern
Erscheinungsjahr
- 2019 (2) (entfernen)
Dokumenttyp
- Wissenschaftlicher Artikel (1)
- Postprint (1)
Sprache
- Englisch (2)
Gehört zur Bibliographie
- ja (2)
Schlagworte
- asymptotic method (2)
- discrepancy principle (2)
- nonlinear operator (2)
- optimal rate (2)
- regularization (2)
Institut
- Institut für Mathematik (2)
- Extern (1)
In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work. The convergence analysis is proved under the tangential cone condition, a modified discrepancy principle, i.e., the stopping time T is a solution of ∥𝐹(𝑥𝛿(𝑇))−𝑦𝛿∥=𝜏𝛿+ for some 𝛿+>𝛿, and an appropriate source condition. We yield the optimal rate of convergence.
In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work. The convergence analysis is proved under the tangential cone condition, a modified discrepancy principle, i.e., the stopping time T is a solution of ∥𝐹(𝑥𝛿(𝑇))−𝑦𝛿∥=𝜏𝛿+ for some 𝛿+>𝛿, and an appropriate source condition. We yield the optimal rate of convergence.