Includes bibliographical references.

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 others] -- part 2. Applications of model order reduction. A practical method for the reduction of linear thermo-mechanical dynamic equations / Artur Jungiewicz [and 4 others] -- Reduced-order methods in medical imaging / Saifon Chaturantabut [and 4 others] -- Efficient Krylov subspace techniques for model order reduction of automotive structures in vibroacoustic applications / Harikrishnan K. Sreekumar [and 3 others] -- Model-based adaptive MOR framework for unsteady flows around lifting bodies / Gaetano Pascarella and Marco Fossati -- Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors / Michael Hinze and Denis Korolev -- Structure-preserving reduced- order modeling of non-traditional shallow water equation / Süleyman Yildiz, Murat Uzunca, and Bülent Karasözen -- part 3. Benchmarks and software of model order reduction. A non-stationary thermal-block benchmark model for parametric model order reduction / Stephan Rave and Jens Saak -- Parametric model order reduction using pyMOR / Petar Mlinarić, Stephan Rave, and Jens Saak -- Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1-philosophy, features, and application for (parametric) model order reduction / Peter Benner, Martin Köhler, and Jens Saak -- MoRLab-the model order reduction laboratory / Peter Benner and steffen W.R. Werner.

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.

Also published electronically.

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