Numerics of partial differential equations (8 ECTS)

If you are interested in this course, please send an email to Prof. Göttlich or  Thomas Schillinger .

Description of the course

In this lecture, special emphasis will be placed on the numerical treatment of partial differential equations in addition to their theoretical aspects. Proven as well as modern discretization methods will be derived and analyzed. The numerical methods used will be based on finite difference or finite volume approaches.

Prerequisites

The two courses ‘Introduction to PDEs’ (HWS) and ‘Numerics of Ordinary Differential Equations’ (HWS) are useful prerequisites.

Aktuelles

• The course is hold in presence with two blocks per week and one block of self-studying.
• The first session will be held on Monday, February 10 at 13:45 in B6 A203.
• You will receive the password for the ILIAS course in the first lecture.
• Dates:
  • Monday 13:45, B6 A203, lecture,  Thomas Schillinger
  • Wednesday 13:45, B6 C301, lecture in one week, exercises in the other week,  Thomas Schillinger

Literatur to elliptic and parabolic PDEs:

• G. Dziuk, Theorie und Numerik partieller Differentialgleichungen, De Gruyter, 1. Auflage (2010).
• C. Großmann, H. G. Roos, Numerik partieller Differentialgleichungen, Vieweg+Teubner Verlag, 2. Auflage (1992).
• W. Hackbusch, Theorie und Numerik elliptischer Differentialgleichungen, Springer Spektrum, 4. Auflage (2017).

 Literatur to hyperbolic PDEs:

• E. Godlewski, P. A. Raviart, Numerical Approximation of Hyperbolic Systems of Conservation Laws, Springer-Verlag, 1. Auflage (1996).
• R. J. Leveque, Numerical Methods for Conservation Laws, Birkhäuser Basel, 2. Auflage (1992).