Model Reduction of Complex Dynamical Systems (International Series of Numerical Mathematics, 171) - Hardcover

Hardcover

ISBN 10: 3030729826 ISBN 13: 9783030729820

Publisher: Birkhäuser, 2021

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2021
• Language: English
• ISBN 10: 3030729826
• ISBN 13: 9783030729820
• Binding: Hardcover
• Edition number: 1
• Number of pages: 427
• Editor: Benner Peter, Breiten Tobias, Faßbender Heike, Hinze Michael, Stykel Tatjana, Zimmermann Ralf