Methods of Model Order Reduction (MOR)

Registration

The course MOR will take place in SoSe 2022 as face-to-face sessions, supported by digital elements via Microsoft Office 365 / Teams. To take part in the course you have to join the "Methods of Model Order Reduction" team using the team code duwe51f.

Instructions for using Microsoft Teams .

  • In MS Teams, click "Join a team or create a team".
  • Then enter the team code duwe51f under "Join a team with a code" and then click "Join team".

Lecture

Instructor: PD Dr.-Ing. habil. Ortwin Farle
Location: On appointment.
Time: On appointment.
Please contact Prof. Dr. Romanus Dyczij-Edlinger.
Extent: 15 weeks per 2 weekly hours.

Tutorial

Location: Online Veranstaltung mit Microsoft Teams
Time: On appointment.
Please contact Prof. Dr. Romanus Dyczij-Edlinger.
Extent: 15 weeks per 1 weekly hour.

Documents:

Download lecture notes*
Download exercise sheets*

Correlation to curriculum:

Extension to Master Systems Engineering
Extension to Master Mechatronik
Deepening lecture Master COMET

Admission requirements:

None.

Evaluation / Examination:

Oral exam
Here you will find the underlying grading scheme .

Effort:

Lecture
Homework
Total
45 h
75 h
120 h

Module grade:

Oral exam100 %

Educational objective

  • Students are familiar with the common model order reduction methods.
  • To be able to expediently choose from different model order reduction methods.
  • To know how to implement the methods in a numerically robust way.
  • To be aware of the effects of model order reduction methods on important system properties.

    Topics

    • Balanced Truncation.
    • Krylov subspace methods.
    • Multi‐point methods: rational Krylov methods, proper orthogonal decomposition, reduced basis method.
    • Parametric model order reduction.
    • Preservation of important system properties, i.e. reciprocity, passivity, causality etc.

    Further information

    • Language of instruction: Englisch
    • A. C. Antoulas. Approximation of Large-Scale Dynamical Systems. SIAM 2005
    • L. N. Trefethen, D. Bau III. Numerical Linear Algebra. SIAM 1997
    • G. E. Dullerud, F. Paganini. A Course in Robust Control Theory. Springer 2000
    • L. Debnath, P. Mikusinski: Introduction to Hilbert Spaces, 3rd edition. Elsevier 2005.
    Postal address

    Chair of Theoretical Electrical Engineering
    Saarland University
    Campus C6 3, 11th floor
    Box 15 11 50
    66041 Saarbrucken
     

     
    Visitor and delivery address

    Chair of Theoretical Electrical Engineering
    Saarland University
    Campus C6 3, 11th floor (site plan)
    66123 Saarbrücken (directions)
     

     
    Chair
    Prof. Dr. Romanus Dyczij-Edlinger
    edlinger(at)lte.uni-saarland.de
    Phone: +49 681 302-2441
    Consultation by appointment.
     
    Secretariat
    Petra Braun
    sekretariat(at)lte.uni-saarland.de
    Phone.: +49 681 302-2551
    Fax: +49 681 302-3157

    Office hours
    Mo   08:00 a.m. — 12:00 noon
    Tue  08:00 a.m. — 12:00 noon
    Wed 08:00 a.m. — 12:00 noon
    Thu  08:00 a.m. — 12:00 noon
    Fri   closed