A note on POD model reduction methods for DAEs
Please always quote using this URN:urn:nbn:de:0296-matheon-3691
- We review some known results for POD model reduction applied to ODEs. Then, these results are generalized to several types of DAEs. We provide algorithms for the model reduction and error bounds for the reduced order models. Some limits of the approach are pointed out and alternative methods for reduced order subspace approximation are presented. The POD approach is tested and evaluated for a medium sized DAE example from multibody dynamics.
Author: | Falk Ebert |
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URN: | urn:nbn:de:0296-matheon-3691 |
Referee: | Volker Mehrmann |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2007/04/01 |
Release Date: | 2006/12/20 |
Tag: | |
Institute: | Technische Universität Berlin |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F30 Other matrix algorithms |
65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L80 Methods for differential-algebraic equations | |
Preprint Number: | 364 |