Overview
- Presents the latest research on model order reduction of complex dynamical systems
- Features contributions from leading researchers and users of model order reduction techniques
- Offers 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
Part of the book series: International Series of Numerical Mathematics (ISNM, volume 171)
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Table of contents(20 chapters)
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Methods and Techniques of Model Order Reduction
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Applications of Model Order Reduction
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Benchmarks and Software of Model Order Reduction
About this book
- 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.
Editors and Affiliations
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Dynamics of Complex Technical Systems, Max Planck Institute, Magdeburg, Germany
Peter Benner
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Institute of Mathematics, Technical University of Berlin, Berlin, Germany
Tobias Breiten
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Institute for Numerical Analysis, TU Braunschweig, Braunschweig, Germany
Heike Faßbender
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Mathematisches Institut, Universität Koblenz-Landau, Campus Koblenz, Koblenz, Germany
Michael Hinze
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Institut für Mathematik, Universität Augsburg, Augsburg, Germany
Tatjana Stykel
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Department of Mathematics and Computer Science, University of Southern Denmark, Odense, Denmark
Ralf Zimmermann
Bibliographic Information
Book Title: Model Reduction of Complex Dynamical Systems
Editors: Peter Benner, Tobias Breiten, Heike Faßbender, Michael Hinze, Tatjana Stykel, Ralf Zimmermann
Series Title: International Series of Numerical Mathematics
DOI: https://doi.org/10.1007/978-3-030-72983-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-72982-0Published: 26 August 2021
Softcover ISBN: 978-3-030-72985-1Published: 27 August 2022
eBook ISBN: 978-3-030-72983-7Published: 26 August 2021
Series ISSN: 0373-3149
Series E-ISSN: 2296-6072
Edition Number: 1
Number of Pages: XII, 415
Number of Illustrations: 28 b/w illustrations, 99 illustrations in colour
Topics: Numerical Analysis, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Computational Science and Engineering, Optimization