Teaching Activities

Teaching Activities

Model Reduction for Dynamical Systems SS2014

Lectures: Dr. Lihong Feng Office Hours: on appointment
Exercises: Dr. Mian Ilyas Ahmad Office Hours: on appointment


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

Schedule

Notice the change of the room for the Lecture!!

Lectures: Thursday 1:00 pm - 3:00 pm (1st Lecture on 03.04.2014) G14-101  
Exercises: Tuesday, 1:00 pm - 3:00 pm (1st Exercise on 04/08/2014) G05-300 

Notice:
Lectures on June 12 and June 26 fall out.
There will be Lectures on June 17 and June 30 as below.

Lectures: June 12 --> June 17, 09:00 am - 11:00 am V0.05-2+3 (MPI)
Lectures: June 26 --> June 30, 09:00 am - 11:00 am V0.05-2+3 (MPI)

Further 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

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

Exercises

Exercise 1   DOM_MD_C.mat         

Exercise 2          LyapSol.mat

Exercise 3          CDPlayer.mat                    beam.mat

Exercise4

Exercise5

Lecture material

You need to read this material for the Exercises:

 
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