Course MAT-81-39-K-7
Model Order Reduction for Large Scale Systems (2V, 4.5 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
2 | V | Lecture | 4.5 CP | 28 h | 107 h |
(2V) | 4.5 CP | 28 h | 107 h |
Basedata
Contents
Model reduction methods for ordinary and partial differential equations are discussed, in particular
- Krylov space methods,
- reduced bases,
- Proper Orthogonal Decomposition (POD).
Literature
- A.C. Antoulas: Approximation of Large-Scale Dynamical Systems,
- A.T. Patera and G. Rozza, Reduced Basis Approximation and A Posteriori Error Estima-tion for Parametrized Partial Differential Equations,
- P. Benner, V. Mehrmann, D.C. Sorensen: Dimension Reduction of Large-Scale Systems,
- W.H. Schilders, H.A. van der Vorst, J. Rommes: Model Order Reduction: Theory, Re-search Aspects and Applications.
Materials
[MAT:LIT]
Requirements for attendance (informal)
Modules:
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-80-11A-M-4] Numerics of ODE (M, 4.5 LP)
- [MAT-80-11B-M-4] Introduction to PDE (M, 4.5 LP)
Courses
- [MAT-12-25-K-3] Introduction to Ordinary Differential Equations (2V+1U, 4.5 LP)
- [MAT-14-11-K-3] Introduction to Numerical Methods (4V+2U, 9.0 LP)
Requirements for attendance (formal)
None
References to Course [MAT-81-39-K-7]
Module | Name | Context | |
---|---|---|---|
[MAT-81-39-M-7] | Model Order Reduction for Large Scale Systems | P: Obligatory | 2V, 4.5 LP |