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Model Reduction of Parametrized Systems

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Cover of 'Model Reduction of Parametrized Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Two Ways to Treat Time in Reduced Basis Methods
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    Chapter 2 Simultaneous Empirical Interpolation and Reduced Basis Method: Application to Non-linear Multi-Physics Problem
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    Chapter 3 A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-Sided Control Constraints
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    Chapter 4 A Reduced Basis Method with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Application to Linear Elasticity
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    Chapter 5 A Reduced Basis Method for Parameter Functions Using Wavelet Approximations
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    Chapter 6 Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics
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    Chapter 7 Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media
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    Chapter 8 Offline Error Bounds for the Reduced Basis Method
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    Chapter 9 ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
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    Chapter 10 Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction Problems
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    Chapter 11 True Error Control for the Localized Reduced Basis Method for Parabolic Problems
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    Chapter 12 Efficient Reduction of PDEs Defined on Domains with Variable Shape
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    Chapter 13 Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry
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    Chapter 14 A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control
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    Chapter 15 Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results
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    Chapter 16 Adaptive Sampling for Nonlinear Dimensionality Reduction Based on Manifold Learning
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    Chapter 17 Cross-Gramian-Based Model Reduction: A Comparison
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    Chapter 18 Truncated Gramians for Bilinear Systems and Their Advantages in Model Order Reduction
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    Chapter 19 Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling
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    Chapter 20 A HJB-POD Approach to the Control of the Level Set Equation
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    Chapter 21 Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation
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    Chapter 22 Interpolatory Methods for $$\mathcal{H}_{\infty }$$ Model Reduction of Multi-Input/Multi-Output Systems
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    Chapter 23 Model Reduction of Linear Time-Varying Systems with Applications for Moving Loads
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    Chapter 24 Interpolation Strategy for BT-Based Parametric MOR of Gas Pipeline-Networks
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    Chapter 25 Energy Stable Model Order Reduction for the Allen-Cahn Equation
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    Chapter 26 MOR-Based Uncertainty Quantification in Transcranial Magnetic Stimulation
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    Chapter 27 Model Order Reduction of Nonlinear Eddy Current Problems Using Missing Point Estimation
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    Chapter 28 On Efficient Approaches for Solving a Cake Filtration Model Under Parameter Variation
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    Chapter 29 Model Reduction for Coupled Near-Well and Reservoir Models Using Multiple Space-Time Discretizations
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    Chapter 30 Time-Dependent Parametric Model Order Reduction for Material Removal Simulations
Attention for Chapter 17: Cross-Gramian-Based Model Reduction: A Comparison
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Chapter title
Cross-Gramian-Based Model Reduction: A Comparison
Chapter number 17
Book title
Model Reduction of Parametrized Systems
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-58786-8_17
Book ISBNs
978-3-31-958785-1, 978-3-31-958786-8
Authors

Christian Himpe, Mario Ohlberger

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 6 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 33%
Professor 1 17%
Student > Bachelor 1 17%
Researcher 1 17%
Unspecified 1 17%
Other 0 0%
Readers by discipline Count As %
Engineering 3 50%
Mathematics 2 33%
Unspecified 1 17%