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All pages describing a model order reduction method are part of this category. |
All pages describing a model order reduction method are part of this category. |
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| + | A comparison of model order reduction methods can be found for example in<ref name="antoulas00">A.C. Antoulas; S. Gugercin, "<span class="plainlinks">[http://www.math.vt.edu/people/gugercin/ttpapers/GugercinC3.pdf A comparative study of 7 algorithms for model reduction]</span>", Proceedings of the 39th IEEE Conference on Decision and Control, vol.3, pp. 2367--2372, 2000.</ref>, <ref name="antoulas01"> |
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| + | A.C. Antoulas; D.C. Sorensen; S. Gugercin, "<span class="plainlinks">[http://www.math.vt.edu/people/gugercin/papers/survey.pdf A survey of model reduction methods for large-scale systems]</span>", Contemporary mathematics, vol.280, pp. 193--220, 2001.</ref> and cover: |
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| + | * [[Balanced Truncation]] |
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| + | * [[Balanced Truncation|Approximate Balancing]] |
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| + | * [[Hankel-Norm Approximation|Hankel-Norm Approximation]] |
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| + | * Singular Perturbation |
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| + | * [[IRKA|Rational Krylov Method]] |
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| + | * Lanczos Method |
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| + | * Arnoldi Method |
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| + | A comparison of parametric model order reduction methods is conducted in <ref name="baur15">U. Baur; P. Benner; B. Haasdonk; C. Himpe; I. Martini; M. Ohlberger, "<span class="plainlinks">[http://doi.org/10.1137/1.9781611974829.ch9 Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems]</span>", In: Model Reduction and Approximation: Theory and Algorithms, Editors: P. Benner, A. Cohen, M. Ohlberger and K. Willcox, SIAM, 2017.</ref> and covers: |
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| + | * POD |
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| + | * POD-Greedy |
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| + | * Matrix Interpolation |
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| + | * [[Transfer Function Interpolation]] |
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| + | * [[Piecewise H2 Tangential Interpolation]] |
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| + | * [[Moment-matching PMOR method|Multi Parameter Moment Matching]] |
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| + | * [[Emgr|Empirical Linear Cross Gramian]] |
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| + | Preliminary results of a PMOR comparison are published on the posters linked on this page. |
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| + | [[File:poster_Baur_MoRePaS.pdf|thumb]] [[File:Poster_Baur.pdf|thumb]] |
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| + | |||
| + | == References == |
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| + | |||
| + | <references/> |
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| + | |||
| + | ---- |
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Latest revision as of 13:48, 1 September 2022
All pages describing a model order reduction method are part of this category.
A comparison of model order reduction methods can be found for example in[1], [2] and cover:
- Balanced Truncation
- Approximate Balancing
- Hankel-Norm Approximation
- Singular Perturbation
- Rational Krylov Method
- Lanczos Method
- Arnoldi Method
A comparison of parametric model order reduction methods is conducted in [3] and covers:
- POD
- POD-Greedy
- Matrix Interpolation
- Transfer Function Interpolation
- Piecewise H2 Tangential Interpolation
- Multi Parameter Moment Matching
- Empirical Linear Cross Gramian
Preliminary results of a PMOR comparison are published on the posters linked on this page.
References
- ↑ A.C. Antoulas; S. Gugercin, "A comparative study of 7 algorithms for model reduction", Proceedings of the 39th IEEE Conference on Decision and Control, vol.3, pp. 2367--2372, 2000.
- ↑ A.C. Antoulas; D.C. Sorensen; S. Gugercin, "A survey of model reduction methods for large-scale systems", Contemporary mathematics, vol.280, pp. 193--220, 2001.
- ↑ U. Baur; P. Benner; B. Haasdonk; C. Himpe; I. Martini; M. Ohlberger, "Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems", In: Model Reduction and Approximation: Theory and Algorithms, Editors: P. Benner, A. Cohen, M. Ohlberger and K. Willcox, SIAM, 2017.
Pages in category "Method"
The following 15 pages are in this category, out of 15 total.