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A survey of model reduction methods for large-scale systems
Abstract
An overview of model reduction methods and a comparison of the resulting algorithms is presented. These approaches are divided into two broad categories, namely SVD based and moment matching based methods. It turns out that the approximation error in the former case behaves better globally in frequency while in the latter case the local behavior is better. 1 Introduction and problem statement Direct numerical simulation of dynamical systems has been an extremely successful means for studying complex physical phenomena. However, as more detail is included, the dimensionality of such simulations may increase to unmanageable levels of storage and computational requirements. One approach to overcoming this is through model reduction. The goal is to produce a low dimensional system that has
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Cited by
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Chaturantabut, S., & Sorensen, D. C. (2010) · SIAM Journal on Scientific Computing · doi:10.1137/090766498 · Cited by 1,925
Self-citationExtracting macroscopic dynamics: model problems and algorithms
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On the relationship between sloppiness and identifiability
Chis, O.-T., Villaverde, A. F., Banga, J. R., & Balsa-Canto, E. (2016) · Mathematical Biosciences · doi:10.1016/j.mbs.2016.10.009 · Cited by 84
DIGITAL TWINS FOR LARGE ELECTRIC DRIVE TRAINS
Brandtstaedter, H., Ludwig, C., Hubner, L., Tsouchnika, E., Jungiewicz, A., & Wever, U. (2018) · 2018 Petroleum and Chemical Industry Conference Europe (PCIC Europe) · doi:10.23919/pciceurope.2018.8491413 · Cited by 30
Metadata
- Authors
- Antoulas, A. C., Sorensen, D. C., & Gugercin, S.
- Venue
- Contemporary Mathematics
- Publisher
- American Mathematical Society
- Published
- 2001
- Pages
- 193-219
- ISSN
- 0271-4132 (ISSN-L)
- 1098-3627
- OpenAlex
- W1590943005
- Cited by
- 680
- References
- 0
- Type
- other
- Language
- en
- Open access
- closed
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