Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-70-13-K-7

Inverse Problems (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-SPAS] Analysis and Stochastics
Livecycle-State [NORM] Active

Contents

  • introductory examples,
  • ill-posed operator equations,
  • regularisation methods (singular value decomposition, Tikhonov regularization, iterative methods, multi-resolution techniques).

Literature

  • D. Colton, R. Kress: Inverse Acoustic and Electromagnetic Scattering Theory,
  • A. Kirsch: An Introduction to the Mathematical Theory of Inverse Problems,
  • A. Louis: Inverse und schlecht gestellte Probleme,
  • A. Rieder: Keine Probleme mit inversen Problemen.

Materials

Further literature will be announced in the lecture; Exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-70-13-K-7]

Module Name Context
[MAT-70-13-M-7] Inverse Problems P: Obligatory 4V+2U, 9.0 LP