Lectures

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453
Dr. Lihong Feng
Dr. Lihong Feng
Phone: +49 391 6110 379
Fax: +49 391 6110 453

Office hours: on appointment

Exercises

Petar Mlinarić
Petar Mlinarić
Phone: +49 391 6110 346
Links: ORCID

Office hours: on appointment

Model Reduction of Dynamical Systems

Model Reduction of Dynamical Systems (Summer Term 2017)

Schedule

Lectures: Monday (every two weeks), 15:00 - 16:45 (from 03.04.2017), G14-101
Wednesday (every week), 09:00 - 10:45, G12-201
Exercises: Monday (every two weeks), 15:15 - 16:45 (from 10.04.2017), G14-101

Changes to the schedule

  • Lecture will replace exercise on 24.04.2017 (Monday).
  • Exercise will replace lecture on 07.06.2017 (Wednesday).
  • There will be no lectures on 12 and 14.06.2017. Instead, lecture will take place on 15 and exercise on 16.06.2017, 9:00 - 10:45, at Max Planck Institute (Sandtorstr. 1) in the big seminar room.

Lectures

Exercises

For opening and running Jupyter notebooks, you need a Python installation. You can use the Linux Virtual Machine (1.7 GB), or install Python on your own machine. Instructions are available as a Markdown file here.

Homeworks

Contents

  • Basics of linear systems and control theory.
  • Model reduction methods for nonparametric 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).
  • Model reduction for parametric systems (multi-moment matching, reduced basis method).
  • Applications of model reduction in computational science and engineering.

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.

References

 
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