Summer School on Hierarchical Matrices

The school is organized by the Max-Planck-Institut für Mathematik in den Naturwissenschaften (Leipzig), the Institut für Geometrie und Praktische Mathematik (RWTH Aachen) and the Hausdorff Research Institute for Mathematics / Institut für Numerische Simulation (Bonn).


  • Prof. Dr. Dr. h.c. Wolfgang Hackbusch (Leipzig)
  • Prof. Dr. Steffen Börm (Kiel)
  • Prof. Dr. Lars Grasedyck (Aachen)


Hierarchical Matrices can be a useful tool for the treatment of integral operators as well as the solution of linear systems arising in the discretisation of elliptic partial differential equations. Moreover, the representation of matrices in the hierarchical matrix format is suitable for the efficient solution of matrix equations. The aim of this school is to teach the necessary theoretical foundations for hierarchical matrices, but most of all the efficient implementation of the algorithms. The practical realisation on the computer will be done during the exercise courses in the afternoons. The participants will use the HLib library in order to assemble and solve BEM and FEM systems.
Lecture Notes are available.

Date and Time

The school starts Monday, 25th July, 9:00, and ends Friday, 29th July, 12:30.

Deadline for registration was: 19.6.2011

  • Application by email to Lars Grasedyck lgr (at) (name, affiliation, interests)
  • Due to limited resources we can only allow up to 20 participants
  • Necessary prerequisites:
    • Basic knowledge of the C programming language
    • Numerical mathematics, e.g. interpolation, linear systems, eigenvalue problems etc.
Monday Slides Lecture 1 (Intro) Slides Lecture 2 (Clustering / BEM)
Tuesday Slides Lecture 4 (H-Arithmetic) Slides Lecture 4 (part 2) Slides Lecture 4 (part 3) Slides Lecture 4 (part 4)
Wednesday Slides Lecture 6 (H2-Matrices)
Thursday Slides Lecture 8 (H2-Matrices)
Friday Slides Lecture 9 (DD-Clustering) Slides Lecture 10 (H2-Matrices)

Time Schedule

Time Monday 25.7. Tuesday 26.7. Wednesday 27.7. Thursday 28.7. Friday 29.7.
09:00-10:30 Lectures Lectures Lectures Lectures Lectures
10:30-11:00 Coffee Coffee Coffee Coffee Coffee
11:00-12:30 Lectures Lectures Lectures Lectures Lectures and final discussion
12:30-15:00 Lunchbreak Lunchbreak Lunchbreak Lunchbreak Lunchbreak
15:00-18:00 Exercises Exercises Exercises Exercises ---


Exercises Lectures
Institut für Numerische Simulation, Universität Bonn
Wegelerstraße 6
D-53115 Bonn
Hausdorff Research Institute for Mathematics
Poppelsdorfer Allee 45
D-53115 Bonn