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
| SWS | 2V |
|---|---|
| CP, Effort | 4.5 CP = 135 h |
| Position of the semester | 1 Sem. irreg. |
| Level | [7] Master (Advanced) |
| Language | [EN] English |
| Lecturers |
+ further Lecturers of the department Mathematics
|
| Area of study | [MAT-TEMA] Industrial Mathematics |
| Additional informations | |
| Livecycle-State | [NORM] Active |
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)
NoneReferences to Course [MAT-81-15-K-7]
| Module | Name | Context | |
|---|---|---|---|
| [MAT-81-15-M-7] | Asymptotic Analysis | P: Obligatory | 2V, 4.5 LP |