Dynamischer Default-Fachbereich geändert auf MAT

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	Klar, Axel, Prof. Dr. (PROF \| DEPT: MAT) Pinnau, René, Prof. Dr. (PROF \| DEPT: MAT) + 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:

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