Course MAT-81-15-K-7
Asymptotic Analysis (2V, 4.5 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
2 | V | Lecture | 4.5 CP | 28 h | 107 h |
(2V) | 4.5 CP | 28 h | 107 h |
Basedata
Contents
The mathematical techniques for flow computation and the theory of asymptotic expansions for differential equations are provided and analysed. In particular, the following topics are covered:
- regular and singular disturbed problems,
- scaling,
- multi-scale expansions,
- boundary layers for differential equations.
Literature
- G. I. Barenblatt: Scaling,
- N. G. De Bruijn: Asymptotic methods in analysis,
- M. H. Holmes: Introduction to perturbation methods,
- U. Hornung: Homogenization and porous media,
- J. K. Hunter: Asymptotic analysis and singular perturbation theory (Lecture Notes).
Materials
Further literature will be announced in the lecture.
Requirements for attendance (informal)
Modules:
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-80-11A-M-4] Numerics of ODE (M, 4.5 LP)
- [MAT-80-11B-M-4] Introduction to PDE (M, 4.5 LP)
Requirements for attendance (formal)
None
References to Course [MAT-81-15-K-7]
Module | Name | Context | |
---|---|---|---|
[MAT-81-15-M-7] | Asymptotic Analysis | P: Obligatory | 2V, 4.5 LP |