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Lecture Asymptotic Analysis, Summer Term 2013

Asymptotic Analysis: Theory and Methods

Prof. Dr. Barbara Wagner

Tuesday, 2-4pm, MA 542
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.

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