Asymptotic Analysis and Modeling (AsyMo)5 ECTS
(englische Bezeichnung: Asymptotic Analysis and Modeling)

Lectures:

Inhalt:

• Asymptotic approximation

• Matched asymptotic expansion, theory of boundary layers

• Method of multiple scales

• Homogenisation versus averaging

• Applications to differential equation models

Lernziele und Kompetenzen:

Students

• are able to develop and analyse asymptotic models for multi-scale problems,

• have critical understanding and practical handling with asymptotic simplifications for models with ordinary and partial differential equations, as well as setting up model hierarchies.

Literatur:

• M. H. Holmes: Introduction to perturbation methods

• G. A. Pavliotis, A. M. Stuart: Multiscale methods: averaging and homogenization

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:

1. Mathematik (Master of Science)
   (Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Masterprüfung | Mathematische Wahlmodule)
2. Wirtschaftsmathematik (Master of Science)
   (Po-Vers. 2014w | NatFak | Wirtschaftsmathematik (Master of Science) | Masterprüfung | Mathematische Wahlmodule)