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Model order reduction. Volume 1: System- and data-driven methods and algorithms. (English) Zbl 1473.93004

Berlin: De Gruyter (ISBN 978-3-11-050043-1/hbk; 978-3-11-049896-7/ebook). ix, 378 p., open access (2021).

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Publisher’s description: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.
The articles of this volume will be reviewed individually. For Vol. 2 and 3 see [Zbl 1455.93001; Zbl 1455.93002].
Indexed articles:
Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel, Model order reduction: basic concepts and notation, 1-14 [Zbl 1480.93046]
Breiten, Tobias; Stykel, Tatjana, Balancing-related model reduction methods, 15-56 [Zbl 1505.93028]
Benner, Peter; Feng, Lihong, Model order reduction based on moment-matching, 57-96 [Zbl 07445313]
Tiso, Paolo; Mahdiabadi, Morteza Karamooz; Marconi, Jacopo, Modal methods for reduced order modeling, 97-138 [Zbl 1484.74026]
Grivet-Talocia, Stefano; Silveira, Luis Miguel, Post-processing methods for passivity enforcement, 139-179 [Zbl 1480.93305]
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C., The Loewner framework for system identification and reduction, 181-228 [Zbl 07445316]
Zimmermann, Ralf, Manifold interpolation, 229-274 [Zbl 1505.65189]
Triverio, Piero, Vector fitting, 275-310 [Zbl 07445318]
Santin, Gabriele; Haasdonk, Bernard, Kernel methods for surrogate modeling, 311-353 [Zbl 07445319]
Kleijnen, Jack P. C., Kriging: methods and applications, 355-370 [Zbl 1480.93055]

MSC:

93-06 Proceedings, conferences, collections, etc. pertaining to systems and control theory
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
93B11 System structure simplification
65K10 Numerical optimization and variational techniques
00B15 Collections of articles of miscellaneous specific interest