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

Model Reduction for Dynamical Systems

Model Reduction for Dynamical Systems SoSe 2015

Model Reduction for Dynamical Systems SS2014

Lectures:

Prof. Peter Benner

Dr. Lihong Feng

Office Hours: on appointment
Exercises: Dr. Mian Ilyas Ahmad Office Hours: on appointment

Schedule

Lectures:

Tuesday (every two weeks)

Wednesday (every week)

17:00 - 18:30 (1st Lecture on 07.04.2015)

09:15 - 10:45  

G14-101

 
Exercises: Tuesday (every two weeks)
17:00 - 18:30 (1st Exercise on 14.04.2015) G14-101

Lecture time shift in May!!!

The lectures on 19, 20 May will be shifted to 21, 22 May at 09:15-10:45.

The lecture room will be in MPI, the big seminar room V0.05-23.

Furtehr information

Contents

  • 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

Kriterien zur Erlangung eines Leistungsnachweises:

  • Mindestens 50% der Aufgaben sinnvoll bearbeitet.
  • Mindestens zwei Aufgaben in der Übung vorrechnen.

Weitere Abschlussmöglichkeiten werden in der Vorlesung noch bekanntgeben.

References

Exercises

Exercise 1         Homework 1            dom_md_c.mat

Exercise 2         Homework 2

Exercise 3         Homework 3           beam.mat

Exercise 4        Homework 4             CDPlayer.mat

Exercise 5        Homework 5          (No class on 9 June. The class is rescheduled to 11 June 2015 from 9:00 to 10:30 am in MPI, the big seminar room V0.05-23)

Exercise/Homework 6

Exercise/Homework 7                   Thermal.mat

Lectures

Lecture 1           Lecture 2/3         Lecture 4          Lecture5/6

Lecture 7           Lecture 8            Lecture 9          Lecture 10

Lecture 11

 
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