Model Reduction of Complex Dynamical Systems

Beschreibung

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.

• 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.

Autor*in

Peter Benner

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model reduction dynamical systems proper orthogonal decomposition dynamic mode decomposition approximation theory optimal control control theory

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