DE
Modul
Advanced Inverse Problems: Nonlinearity and Banach Spaces [M-MATH-102955]
Credits
5Recurrence
UnregelmäßigDuration
1 SemesterLanguage
Level
5Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-105927 | Advanced Inverse Problems: Nonlinearity and Banach Spaces | 5 |
Competence Certificate
Success is assessed in the form of an oral examination lasting approx. 30 minutes.
Competence Goal
Graduates are familiar with regularization methods for nonlinear ill-posed problems in Hilbert and Banach spaces and can discuss the underlying analytical and numerical aspects. They are also able to explain the conceptual differences between regularization methods in
Hilbert and Banach spaces.
Prerequisites
none
Content
Inexact Newton methods in Hilbert spaces,
Approximate Inverse in Banach spaces
Tikhonov regularization with convex penalty
Kaczmarz-Newton methods in Banach spaces
Recommendation
Inverse problems, Functional analysis
Workload
Total workload: 150 hours
Attendance: 60 hours
- lectures, problem classes, and examination
Self-studies: 90 hours
- follow-up and deepening of the course content,
- work on problem sheets,
- literature study and internet research relating to the course content,
- preparation for the module examination