Model Reduction and Approximation
Language: English
Published by SIAM - Society for Industrial and Applied Mathematics, 2017
- Softcover
- New
Condition: New
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In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tuto.
Seller Inventory # 596415876
- Title
- Model Reduction and Approximation
- Author
- Peter Benner|Albert Cohen|Mario Ohlberger|Karen Willcox
- Publisher
- SIAM - Society for Industrial and Applied Mathematics
- Publication year
- 2017
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 161197481X
- ISBN 13
- 9781611974812
Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. The book is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods; it covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).
Audience: This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.
Contents: Part I: Sampling-Based Methods; Chapter 1: Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control; Chapter 2: A Tutorial on Reduced Basis Methods; Chapter 3: The Theoretical Foundation of Reduced Basis Methods; Part II: Tensor-Based Methods; Chapter 4: Low-Rank Methods for High-Dimensional Approximation and Model Order Reduction; Chapter 5: Model Reduction for High-Dimensional Parametric Problems by Tensor Techniques; Part III: System-Theoretic Methods; Chapter 6: Model Order Reduction Based on Systems Balancing; Chapter 7: Model Reduction by Rational Interpolation; Chapter 8: The Loewner Framework for Model Reduction; Chapter 9: Comparison of Methods for Parametric Model Order Reduction.
"Synopsis" may belong to another edition of this title.
About the Author
Mario Ohlberger is a full professor of applied mathematics and managing director of Applied Mathematics: Institute of Analysis and Numerics at the University of Munster. He is 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.
Albert Cohen is a professor at Laboratoire Jacques Louis Lions, Universite Pierre et Marie Curie, Paris, France. He was awarded the Vasil Popov Prize (1995), the Jacques Herbrant Prize (2000), and the Blaise Pascal Prize (2004), and he has been the PI of the ERC Advanced Grant BREAD since 2014. He has been an invited speaker at ICM 2002 (Numerical Analysis section) and plenary speaker at ICIAM 2007. He is the managing editor of Foundations of Computational Mathematics. He has been a senior member of Institut Universitaire de France since 2013.
Karen E. Willcox is Professor of Aeronautics and Astronautics at the Massachusetts Institute of Technology and Co-Director of the MIT Center for Computational Engineering. Prior to joining the faculty at MIT, she worked at Boeing Phantom Works with the Blended-Wing-Body aircraft design group. She has served in multiple leadership positions within AIAA and SIAM, including on the SIAM Activity Group on Computational Science and Engineering. She is Section Editor of SIAM Journal on Scientific Computing and Associate Editor of AIAA Journal.
"About the title" may belong to another edition of this title.
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