Technomathematics Group


General information

Under "lectures" you find those lectures held by our group in winter term 2018/19 in English. 

If you want to participate in a seminar, proseminar or reading course, please contact the corresponding person or register in URM.

Appointments and dates will be settled in correspondence to the participants. 

If you are interested in internships, study, Bachelor or Master thesis, you can find in theses some examples of recent works in our group. To register please contact the corresponding supervisor. The supervision is done by professors but also by the post doctoral staff of our group.

Important Links

  • KIS: information for lectures
  • URM: registration for tutorials (open until October, 26  2018)
  • OpenOLAT: Course material and informations (Access codes you receive in the first lecture)

PHD-Seminar

Dates for the PHD seminars. 

The seminar takes place on the dates below at 15:30 in 48-582. 

 

November, 12 2018  Naveen Kumar Mahato, Alona Astrakhantseva

December, 3 2018 Matthias Eimer

December, 10 2018 Jens Bender, Markus Rein, Gregor Corbin

 

January, 7 2019 Louisa Schlachter, Pavel Gavrilenko, Dominik Linn

January, 14 2019 Nicolas Dietrich, Thomas Marx

January, 21 2019 Matthias Andres, Raphael Hohmann

January, 28 2019 Stephan Wackerle, Michael Hauck, Cresente Cabahug

February, 4 2019 Sebastian Blauth, Stephan Höcker, Damla Koçoglu

 

Lectures in winter term 2018/19

Our group offers the following lectures in winter term 2018/19:

Numerical Methods for Ordinary Differential Equations

Content

Most of the problems in science, engineering and technology can be modeled by a set of differential equations. These equations are in general too complex to be solved analytically. Thus, this course provides the necessary methods (e.g. explicit and implicit one-step methods) to treat inital value problems of ordinary differential equations numerically by help of the computer. Moreover, it tackles the questions of consistency, stability and convergence.

Information

Dates: 

Tue. 08:15-09:45 in 48-210 (1st half of semester) 

Thu. 08:15-09:45 in 48-210 (1st half of semester) 

Volume: 

2 SWS Lecture and 1 SWS Tutorial

Course language:

English

 

 

Links/Contact

Lecturer:

Prof. Dr. Axel Klar

KIS entry:

[KIS]

Course material:

OpenOLAT

Tutorial registration:

URM

Partial Differential Equations: An Introduction

Content

Partial Differential Equations play an important role in natural sciences and engineering. Stationary processes can be modelled by differential equations that involve more than one spatial variable, e.g. equations for membrans or electrostatic and gravitational potentials. The equations can also include time derivatives to describe transient processes like growth processes, wave propagation, heat transfer or fluid flow. In this introductory lecture the three most important types of second order PDEs are presented: elliptic, parabolic and hyperbolic equations. Explicit solution techniques and the qualitative baviour of solutions is discussed. Special knowledge of results from functional analysis is not required.

Information

Dates: 

Tue. 08:15-09:45 in 48-210 (2nd half of semester) 

Thu. 08:15-09:45 in 48-210 (2nd half of semester) 

Volume: 

2 SWS Lecture and 1 SWS Tutorial

Course language:

English

  

Links/Contact

Lecturer:

Dr. Florian Schneider

KIS entry:

[KIS]

Course material:

OpenOLAT

Tutorial registration:

URM

Numerical Methods for Partial Differential Equations II

Content

In this lecture we treat analytic and numerical methods for hyperbolic conservation equations. Here scalar equations as well as systems are considered. The focus lies on the interplay between analysis and numerics.

Information

Dates: 

Mon. 11:45-13:15 in 48-538

Thu. 11:45-13:15 in 48-582

Volume: 

4 SWS Lecture and 2 SWS Tutorial

Course language:

English

 

Links/Contact

Lecturer:

Dr. habil. Raul Borsche

KIS entry:

[KIS]

Course material:

OpenOLAT

Tutorial registration:

URM

 

 

 

Optimization with Partial Differential Equations

Content

Mathematical concepts for the treatment of optimization problems under constraints given via differential equations are presented and studied. In particular there will be the following topics:

• theory of non-linear operators,

• calculus of adjoints,

• approximation methods for the numerical solution of constraint optimization problems

Information

Dates: 

Fri. 10:00-11:30 in 48-582

Volume: 

2 SWS Lecture 

Course language:

English

Links/Contact

Lecturer:

Dr. Claudia Totzeck

KIS entry:

[KIS]

Nonlinear Control

Content

Methods for the control of non-linear systems, in particular

Stability of non-linear systems, Lyapunov theory, comparison functions, input-to-state stability (ISS),

  • Linearization and normal forms of non-linear systems,
  • different concepts of control, e.g. Backstepping, predictive control, sliding mode
  • non-linear observer

Information

Dates: 

Wed. 11:45-13:15 in 48-538

Fri. 11:45-13:15 in 48-538

Volume: 

4 SWS Lecture and 2 SWS Tutorial

Course language:

English

 

 

Links/Contact

Lecturer:

Prof. Dr. Tobias Damm

KIS entry:

[KIS]

Material:

OpenOLAT

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