DE

Modul

Advanced Inverse Problems: Nonlinearity and Banach Spaces [M-MATH-102955]

Credits
5
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
5
Version
1

Responsible

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