Numerics III



Lecture Mon, 10-12h A3/SR 120 (Arnimallee 3-5) Prof. Dr. Ana Djurdjevac
Mon, 14-16h A3/SR 120 (Arnimallee 3-5) Prof. Dr. Ana Djurdjevac
Tutorial Do, 16-18h A6/SR 007/008 Seminarraum (Arnimallee 6) Prof. Dr. Ralf Kornhuber
Exam July 11, 14-16h Rostlaube, Habelschwerdter Allee 45, Hörsaal 1 a
Second exam October 10, 14-16h Arnimallee 3, Hörsaal 001

General Information


Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial differential equations (PDEs). After some remarks on the modelling with and classification of PDEs, the course will concentrate on elliptic problems. Starting with a brief introduction to the classical theory (existence and uniqueness of solutions, Green's functions) and assiciated difference methods we will mainly focus on weak solutions and their approximation by finite element methods. Adaptivity and multigrid methods will be also discussed.

Target Audience

Students of Bachelor and Master courses in Mathematics and of BMS.


Basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help but is not necessary.


All participants should register at the KVV, so that we know the number of participants and can, e.g., contact them by e-mail. In addition, depending on your program of study, you might have to register in the Campus Management (we have no access to these data).

Exercises and Criteria for a Certificate

Tutorial & Exercises

Individual Exam

There will be a written exam on July 11, 14-16h and a second exam on October 10, 14-16h.

Criteria for the Certificate

Necessary and sufficient conditions for a certificate are:

The grade of final certificate is the grade of the individual exam.


Lecture Notes

The lecture notes are available here.

Accompanying Material

Lars Gårding, The Dirichlet Problem The Mathematical Intelligencer volume 2, pages 43–53 (1979)


Here you can find an introduction to Matlab (in German, sorry).



Prof. Dr. Ana Djurdjevac Arnimallee 9
Prof. Dr. Ralf Kornhuber Arnimallee 6, Room 130