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Technische Universität München, Zentrum Mathematik


Modern Methods in Nonlinear Optimization

(Optimization with Partial Differential Equations)

Prof. Dr. Michael Ulbrich

Summer 2013

Course Description - News - Dates - Lecture Notes - Exercises - Literature

Course Description

The optimization and inversion of complex systems goverened by partial differential equations is one of the most fascinating topics in applied mathematics and has a variety of important applications. This lecture presents an introduction to modern methods in optimization and optimal control that are tailored to problems of this kind. We will employ tools from functional analysis to develop optimization methods that exploit the structure of PDE-constrained problems and establish the fundamental theory. The lecture will also cover numerical aspects as well as examples from applications in physics and engineering.

Module: MA4503.

Prerequisites: MA2503, MA3503 or equivalent. We also highly recommend : MA3001.


23.04.2013: The lecture will be taught in German and this website will not be updated anymore. Please refer to this site instead.
01.04.2013: The first lecture will be on April 18. Exercises start on April 26.


  Thursday 10:15 - 11:45 MI 00.07.014 Prof. Dr. Michael Ulbrich

Exercises (tentative!)
Group 1 Friday (bi-weekly) 08:30 - 10:00 MI 02.08.011 Christian Böhm
Group 2 Monday (bi-weekly) 10:15 - 11:45 MI 00.09.022 Christian Böhm


Grading will be based on a written exam at the end of the semester.

Lecture Notes

Not yet available.