SoSe 17: Basismodul: Numerik III
Additional information / Pre-requisites
Mathematical modelling of spatial or spatial/temporal phenomena such as flows, solidification of melts, weather prediction, etc. typically leads to partial differential equations (pdes). The course will concentrate on elliptic pdes. In the first part, finite difference methods will be discussed. The main part of the course will focus on finite element methods and their analysis.
Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis is useful.
This course is suited for BMS students.close
* Braess: Finite elements. Theory, fast solvers, and applications in elasticity theory, 2007 (German version 2013)
* Brenner, Scott: The mathematical theory of finite element methods, 2008
* Ciarlet: The finite element method for elliptic problems, 2002
* Ern, Guermond: Theory and practice of finite elements, 2004
* Le Veque: Finite difference methods for ordinary and partial differential equations, 2007
* Samarskii: The theory of difference schemes, 2001
22 Class schedule