↓ Skip to main content

Model Reduction of Parametrized Systems

Overview of attention for book
Cover of 'Model Reduction of Parametrized Systems'

Table of Contents

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


23 Dimensions

Readers on

6 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
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

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%