Modul

The module will be completed by an oral exam (approx. 30 min).

At the end of the course, students are able to distinguish well-posed from ill-posed problems. They acquire  a systematic knowledge of the theory of linear inverse problems and their regularization in Hilbert spaces and can provide proof ideas. They are able to analyze regularization methods such as, e.g., Tikhonov regularization and assess their convergence properties. 

None

• Compact operator equations
• Ill-posed problems
• Regularization 
• Tikhonov regularization
• Iterative regularization
• Examples for ill-posed problems

The course "Functional Analysis" or "Integral Equations" is recommended as a prerequisite.

Total workload: 240 hours

Attendance: 90 hours

• lectures, problem classes, and examination 

Self-studies: 150 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