Computational Sciences Center

Announcement

Winter School on Hierarchical Matrices, Germany, Feb/Mar 2018

Date: 26th of Februrary to 2nd of March, 2018
Place: Kiel University, Kiel, Germany
Organizers: Wolfgang Hackbusch, Lars Grasedyck, Steffen Börm

Hierarchical matrices offer an efficient approach to handling non-local operators resulting, e.g., from the discretization of an integral equation or the inversion of a partial differential equation. They rely on a decomposition of a matrix into sub-matrices of low numerical rank that can be represented in factorized form. Using this representation, we can perform operations like the matrix-vector multiplication, matrix multiplication, inversion, factorization, or the evaluation of matrix functions or the solution of certain matrix equations in almost linear complexity.

The winter school is split into two parts:

  • lectures present the fundamental concepts and algorithms, while 
  • practical exercises allow the participants to experience the methods first-hand and discuss specific questions and applications with experts in the field.

Participation is free of charge. Please address questions and registration requests to school@hmatrix.org

Preliminary timetable

Monday, 26th of Februrary, 2018
09:00 - 10:30: Introduction, Integral Equation 1d (Lars Grasedyck)
10:30 - 11:00: --- Break ---
11:00 - 12:30: Clustering, Integral Equations (Steffen Börm)
15:00 - 18:00: Exercises
Tuesday, 27th of Februrary, 2018
09:00 - 10:00: Cross Approximation (Wolfgang Hackbusch)
10:00 - 10:30: --- Break ---
10:30 - 12:00: H-Arithmetics I (Lars Grasedyck)
15:00 - 18:00: Exercises
Wednesday, 28th of Februrary, 2018
09:00 - 10:00: H-Arithmetics II (Lars Grasedyck)
10:00 - 10:30: --- Break ---
10:30 - 12:00: H2-Matrices (Steffen Börm)
15:00 - 18:00: Exercises
Thursday, 1st of March, 2018
09:00 - 10:30: H2-Compression (Steffen Börm)
10:30 - 11:00: --- Break ---
11:00 - 12:30: Numerical Representation of Tensors (Wolfgang Hackbusch)
15:00 - 18:00: Exercises
Friday, 2nd of March, 2018
09:00 - 10:30: Matrix Exponentials and High Dimension (Lars Grasedyck)
10:30 - 10:45: --- Break ---
10:45 - 11:15:Helmholtz Integral Equation (Steffen Börm)
11:15 - 11:30: --- Break ---
11:30 - 12:15: Parallelization and Eigenvalue Problems (Lars Grasedyck)
12:15 - 12:30: Conclusion

Location

You can find the class room for the course in the building Olshausenstr. 40 (marked with a red circle).
It is room 13 in the ground floor.

How to find the location

There are four bus stops nearby (see H signs) serviced by the bus lines 

  • 50 (Direction Botanischer Garten)
  • 60S (Direction Botanischer Gartenonly during the lecture periods
  • 61 (Direction Suchsdorf, Rungholtplatz)
  • 62 (Direction Projensdorf, Woltersweg)
  • 81 (Direction Botanischer Garten)
  • 91 (Direction Friedrichsort, Falckensteiner Str.)

Take the bus to the Universität or Universität/Westring stop