Dimension Reduction of Large-Scale Systems: Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003

Author:   Peter Benner ,  Volker Mehrmann ,  Danny C. Sorensen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2005 ed.
Volume:   45
ISBN:  

9783540245452


Pages:   404
Publication Date:   09 June 2005
Format:   Paperback
Availability:   In Print   Availability explained
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Dimension Reduction of Large-Scale Systems: Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003


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Overview

In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Full Product Details

Author:   Peter Benner ,  Volker Mehrmann ,  Danny C. Sorensen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2005 ed.
Volume:   45
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   1.290kg
ISBN:  

9783540245452


ISBN 10:   3540245456
Pages:   404
Publication Date:   09 June 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Papers.- Model Reduction Based on Spectral Projection Methods.- Smith-Type Methods for Balanced Truncation of Large Sparse Systems.- Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form.- On Model Reduction of Structured Systems.- Model Reduction of Time-Varying Systems.- Model Reduction of Second-Order Systems.- Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems.- Pade-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems.- Controller Reduction Using Accuracy-Enhancing Methods.- Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control.- Benchmarks.- Oberwolfach Benchmark Collection.- A File Format for the Exchange of Nonlinear Dynamical ODE Systems.- Nonlinear Heat Transfer Modeling.- Microhotplate Gas Sensor.- Tunable Optical Filter.- Convective Thermal Flow Problems.- Boundary Condition Independent Thermal Model.- The Butterfly Gyro.- A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles.- Model Reduction of an Actively Controlled Supersonic Diffuser.- Second Order Models: Linear-Drive Multi-Mode Resonator and Axi Symmetric Model of a Circular Piston.- RCL Circuit Equations.- PEEC Model of a Spiral Inductor Generated by Fasthenry.- Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems.

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