Model Reduction of Complex Dynamical Systems

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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: systemtheoretic methods, such as balanced truncation, Hankel norm approximation, and reducedbasis methods;  datadriven methods, including Loewner matrix and pencilbased approaches, dynamic mode decomposition, and kernelbased 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.

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