Methods of Model Order Reduction (MOR)

Registration

The course MOR will take place in SoSe 2024 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

Tutorial

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.