250092 VO Applied analysis (2014W)
Labels
Details
Language: German
Examination dates
- Friday 30.01.2015
- Friday 06.02.2015
- Thursday 12.02.2015
- Friday 20.02.2015
- Monday 18.05.2015
- Thursday 21.05.2015
- Wednesday 30.09.2015
- Wednesday 30.09.2015
- Friday 27.11.2015
- Friday 19.02.2016
- Thursday 03.03.2016
- Wednesday 16.03.2016
- Wednesday 21.06.2017
Lecturers
Classes (iCal) - next class is marked with N
Termine: Mi 12.10 - 13.10
Ort: OMP1, 8. Stock, WPI Seminarraum 08.135
Termine: Do 10.10 - 12.00
Ort: OMP1, 2. Stock, Seminarraum 10
- Thursday 02.10. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 09.10. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 16.10. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 23.10. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 30.10. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 06.11. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 13.11. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 20.11. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 27.11. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 04.12. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 11.12. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 18.12. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 08.01. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 15.01. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 22.01. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 29.01. 10:10 - 12:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
We focus on methods for the analytical treatment of PDEs and the connection of analysis to modeling. Regular and singular perturbation theory is introduced as a tool for asymptotic expansions in the context of model hierarchies. Other topics are homogenization of PDE and the Boltzmann equation with its model hierarchy up to the Euler equations. Applications in science and technology are discussed and provide the motivation for developing theoretical methods.
Assessment and permitted materials
Oral exam about the contents of the lecture course.
Minimum requirements and assessment criteria
The goal is to provide an introduction to the methods of applied analysis and apply these methods to physical systems of current interest. Questions answered are: how can we model (selected) physical systems? Which mathematical tools can we use? What are the properties of our models? Do unique solutions of the model equations exist?
Examination topics
Dimensionless variables, scaling, perturbations; continuum mechanics; multi-scale problems; homogenization; Boltzmann equation; overview of numerical methods; modelling and simulations in applications.
Reading list
Association in the course directory
MAMA
Last modified: Tu 03.08.2021 00:23