Title Statements
- Full title :Model reduction of complex dynamical systems / Peter Benner [and five others], editors.
Summary
This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.
Read More ↓Edition Statements
- Publication Date:©2021
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Cham, Switzerland
- Language:eng
- Publication Date:©2021
The Physical Object
- Description:xiii, 415 pages : : illustrations (some color) ; : 25 cm.
Edition Identifiers
- ISBN:9783030729820, 3030729826
- oclc:on1276794044
- LC Classification:Q295
- Dewey Decimal:003
Table of Contents
Part 1. Methods and techniques of model order reduction. On bilinear time-domain identification and reduction in the Loewner framework / D.S. Karachalios, I.V. Gosea, and A.C. Antoulas -- Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches / Nguyen Thanh Son [and 3 others] -- Toward fitting structured nonlinear systems by means of dynamic mode decomposition / Ion Victor Gosea and Igor Pontes Duff -- Clustering-based model order reduction for nonlinear network systems / Peter Benner, Sara Grundel and Peter Mlinarić -- Adaptive interpolatory MOR by learning the error estimator in the parameter domain / Sridhar Chellappa [and 3 others] -- A link between Gramian-based model order reduction and moment matching / C. Bertram and H. Fassbender -- Comparing (empirical-Gramian-based) model order reduction algorithms / Christian Himpe -- Optimization-based parametric model order reduction for the application to the frequency-domain analysis of complex systems / Rupert Ullmann, Stefan Sicklinger, and Gerhard Müller -- On extended model order reduction for linear time delay systems / Sajad Naderi Lordejani [and 3…
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