Numerik III

News and Important Remarks


Lecture Tue, 8:30 - 10:00,
Tue, 14:15 - 15:45
Arnimallee 6, SR 025/026,
Takustr. 9, SR 049
Tutorial Tue, 16:15 - 17:45 Arnimallee 6, SR 025/026
Klausur Tue, 07.07.15, 14:15 - 15:45 Takustr. 9, SR 049
Nachklausur Fr, 09.10.15, 10.15 - 11.45 Arnimallee 6, SR 031

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


Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot.


All participants should register at the KVV, so that we know who is participating. The overall number of participants is also necessary to justify the equipment of the course. In addition, depending on your program of study, you have to register in the Campus Management.

Exercises and Criteria for a Certificate

Tutorial & Exercises


Criteria for the Certificate

Neccessary and sufficient for a certificate are:

Certificates are graded according to the result of the Klausur.


Accompanying Material

Here you can find a manuscript on hierarchical error estimates for the laplacian.

Lecture Notes:

The lecture notes are available here.

The lecture notes Numerics II.

The lecture notes Numerics I, in german only.


F. John: Partial Differential Equations. Springer (1982)

M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)

A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)

D. Braess: Finite Elemente. Springer, 3. Auflage (2002)

P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)


Prof. Dr. Ralf Kornhuber Arnimalle 6, Room 130
Secretary Frau Nordt: Arnimallee 6, Room 131
Consultation-Hour: Tue, 11-12
email: kornhube{at}
Maren-Wanda Wolf Arnimalle 6, Room 122
Consultation-Hour: Thu, 14-15
email: mawolf{at}