direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

Lecture: "Asymptotic Analysis: Theory and Methods", winter term 2014/15

Oragnisation
Coordinator
Prof. Dr. Barbara Wagner
Lecture-number
3236 L 217
Dates
16.10.2014 to 12.02.2015 weekly:
Thu, 2 - 4 pm, room MA 742
Language
The lecture can be hold in English or German.
Content
Problems in the natural sciences and technology typically act on different (large and small) time- and spatial scales. In the corresponding mathematical model equations this is reflected by the  appearance of small parameters in the model.

In this course we develop theory and methods that enable reduction and asymptotic solution of these multiple-scale problems. We cover the method of "matched asymptotics", the method of multiple scales, WKBJ method and apply them for the analysis of partial differential equations. Apart from these methods we also introduce the method of   homogenisation, linear and nonlinear wave motion, weakly nonlinear stability analysis, asymptotic derivation of sharp-interface models.
Target group
Literature
  • Kevorkian/Cole, "Multiple Scales and Singular Perturbation Methods", Springer 1996.
  • J.A. Murdock, "Perturbations: Theory and Methods", SIAM 1999.
  • Lin/Segel/Handelman, "Deterministic Problems in the Nartural Sciences", Macmillan Publishing Co., Inc.
  • J.D. Murray, Asymptotic Analysis, Applied Mathematical Sciences Vo. 48. Springer, 1992.

Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

Auxiliary Functions

This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.