HOMEContact | Local | Impressum | German
Minerva Logo of the MPG
Photo of the Institute
Banner Max-Planck-Institut
Research Group Computational Methods in Systems and Control Theory

Diese Seite wird nicht mehr aktualisiert. Bitte besuchen Sie unsere neue Webpräsenz.

This page is not updated any longer. Please visit our new website.

Model Reduction for Dynamical Systems SS2012

Prof. Dr. Peter Benner Office Hours: on appointment
Tobias Breiten Office Hours: on appointment

Schedule - Further Information - Contents - Certificates - References - Exercises - Lecture material


Lectures: Thursday, 01:00 pm - 03:00 pm (1. Lecture on 04/12/2012)     V0.05-2+3 (MPI)
Exercises: Tuesday, 11:00 am - 01:00 pm (1. Exercise on 04/24/2012)     V0.05-2+3 (MPI)

Further Information

  • Course description.
  • Important: Lecture instead of exercise session on April 17, 2012!
  • Important: no lecture/exericse session on June 19/21, 2012!


  • Basics of linear systems and control theory.
  • Model reduction methods for linear and nonlinear systems:
    • modal truncation (eigenvalue-based methods),
    • balanced truncation (SVD-based methods),
    • Padé approximation / rational interpolation (Krylov subspace based methods),
    • proper orthogonal decomposition (POD),
    • dimension reduction via central/inertial manifolds (slow/fast decomposition).
  • Applications of model reduction in computational science and engineering.
  • Model reduction for parametric systems.

Certificate for successful participation

Criteria for getting a certificate for successful participation:
  • Reasonable execution of at least 50% of the homework exercises.
  • Demonstration of at least two homework exercises in the tutorial class.
Further information on exams will be given in the lecture.



Lecture material

Tobias Breiten, breiten@mpi-magdeburg.mpg.de