Model Reduction of Parametrized Systems
Language: English
Published by Springer International Publishing, 2018
Series: Book 16 of 19 - MS&A
- Softcover
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Seller: moluna, Greven, Germanymoluna
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- Title
- Model Reduction of Parametrized Systems
- Author
- Benner, Peter|Ohlberger, Mario|Patera, Anthony|Rozza, Gianluigi|Urban, Karsten
- Publisher
- Springer International Publishing
- Publication year
- 2018
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319864750
- ISBN 13
- 9783319864754
- Series
- Book 16 of 19: MS&A
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems.
The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effor
t, carried out over the last 12 years, to build a growing research community in this field.Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes).
"Synopsis" may belong to another edition of this title.
About the Author
Peter Benner is Director of the Max Planck Institute for Dynamics of Complex Technical Systems and head of the department “Computational Methods in Systems and Control Theory”. Moreover, he is a Professor at the TU Chemnitz and Adjunct Professor at the Otto-von-Guericke University Magdeburg. He serves on the editorial board of several scientific journals, including Advances in Computational Mathematics and the SIAM Journal on Matrix Analysis and Applications.
Mario Ohlberger is a Full Professor of Applied Mathematics and Managing Director of Applied Mathematics at the University of Münster’s Institute of Analysis and Numerics. He is an Associate Editor of five mathematical journals, including SIAM Journal on Scientific Computing. He is a member of the Center for Nonlinear Science, the Center for Multiscale Theory and Computation, and the Cluster of Excellence “Cells in Motion”.
Anthony T. Patera is the Ford Professor of Engineering and a Professor of Mechanical Engineering at MIT, and Co-Director of the MIT Center for Computational Engineering. His research interests include partial differential equations, computational methods, model order reduction, a posteriori error estimation, and data assimilation. Professor Patera holds SB and SM degrees in Mechanical Engineering from MIT, and a PhD in Applied Mathematics, also from MIT. He served as Co-Editor-in-Chief of the journal Mathematical Modeling and Numerical Analysis from 2003 to 2012.Karsten Urban is a Full Professor of Numerical Mathematics and Director of the Scientific Computing Centre at Ulm University. He is Managing Editor in Chief of Advances in Computational Mathematics and Associate Editor of several mathematical journals, including SIAM Journal on Scientific Computing. Further, he is currently directing several interdisciplinary research projects.
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