Difference between revisions of "Category:Method"

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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:

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.

B

M

P

R

Reduced Basis PMOR method

T

Transfer Function Interpolation

[antoulas00-1] 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.

[antoulas01-2] 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.

[baur15-3] 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.

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[2]

[3]

@@ Line 1: / Line 1: @@
+[[Category:Category]]
 All pages describing a model order reduction method are part of this category.
@@ Line 6: / Line 8: @@
 * [[Balanced Truncation]]
 * [[Balanced Truncation|Approximate Balancing]]
-* Hankel Norm Approximation
+* [[Hankel-Norm Approximation|Hankel-Norm Approximation]]
 * Singular Perturbation
 * [[IRKA|Rational Krylov Method]]
@@ Line 12: / Line 14: @@
 * Arnoldi Method
-A comarison 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://www2.mpi-magdeburg.mpg.de/preprints/2015/MPIMD15-01.pdf Comparison of methods for parametric model order reduction of instationary problems]</span>", Preprint, 2015</ref> and covers:
+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:
 * POD
@@ Line 18: / Line 20: @@
 * Matrix Interpolation
 * [[Transfer Function Interpolation]]
-* Piecewise H2 Tangential Interpolation
+* [[Piecewise H2 Tangential Interpolation]]
 * [[Moment-matching PMOR method|Multi Parameter Moment Matching]]
 * [[Emgr|Empirical Linear Cross Gramian]]
+Preliminary results of a PMOR comparison are published on the posters linked on this page.
+[[File:poster_Baur_MoRePaS.pdf|thumb]]  [[File:Poster_Baur.pdf|thumb]]
 == References ==