250061 VO Applied analysis (2015W)
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Language: German
Examination dates
Lecturers
Classes
Vorbesprechung am Donnerstag, 8. Oktober 2015, 12.30 Uhr; OMP1, 08.135
Termine: Di 13:00-14.30 Uhr , Do 12:00-13:30 Uhr.
Information
Aims, contents and method of the course
Assessment and permitted materials
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?
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; modeing and simulations in applications.
multi-scale problems; homogenization; Boltzmann equation; overview of numerical methods; modeing and simulations in applications.
Reading list
Association in the course directory
MAMA
Last modified: Tu 03.08.2021 00:23
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.