Model Reduction of Parametrized Systems
Herausgegeben:Benner, Peter; Ohlberger, Mario; Patera, Anthony; Rozza, Gianluigi; Urban, Karsten
Model Reduction of Parametrized Systems
Herausgegeben:Benner, Peter; Ohlberger, Mario; Patera, Anthony; Rozza, Gianluigi; Urban, Karsten
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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…mehr
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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).
- Produktdetails
- MS&A 17
- Verlag: Springer / Springer International Publishing / Springer, Berlin
- Artikelnr. des Verlages: 978-3-319-86475-4
- Softcover reprint of the original 1st ed. 2017
- Seitenzahl: 516
- Erscheinungstermin: 10. August 2018
- Englisch
- Abmessung: 235mm x 155mm x 28mm
- Gewicht: 783g
- ISBN-13: 9783319864754
- ISBN-10: 3319864750
- Artikelnr.: 55128050
- MS&A 17
- Verlag: Springer / Springer International Publishing / Springer, Berlin
- Artikelnr. des Verlages: 978-3-319-86475-4
- Softcover reprint of the original 1st ed. 2017
- Seitenzahl: 516
- Erscheinungstermin: 10. August 2018
- Englisch
- Abmessung: 235mm x 155mm x 28mm
- Gewicht: 783g
- ISBN-13: 9783319864754
- ISBN-10: 3319864750
- Artikelnr.: 55128050
PDEs defined on domains with variable shape.- 13 Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.- 14 A-posteriori error estimation of discrete POD models for PDE-constrained optimal control.- 15 Hi-POD solution of parametrized fluid dynamics problems: preliminary results.- 16 Adaptive sampling for nonlinear dimensionality reduction based on manifold learning.- 17 Cross-Gramian-Based Model Reduction: A Comparison.- 18 Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction.- 19 Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling.- 20 A HJB-POD approach to the control of the level set equation.- 21 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation.- 22 Interpolatory methods for H model reduction of multi-input/multi-output systems.- 23 Model reduction of linear time-varying systems with applications for moving loads.- 24 Interpolation Strategy for BT-based Parametric MOR of Gas Pipeline-Networks.- 25 Energy stable model order reduction for the Allen-Cahn equation.- 26 MOR-based Uncertainty Quantification in Transcranial Magnetic Stimulation.- 27 Model Order Reduction of Nonlinear Eddy Current Problems using Missing Point Estimation.- 28 On Efficient Approaches for Solving a Cake Filtration Model under Parameter Variation.- 29 Model reduction for coupled near-well and reservoir models using multiple space-time discretizations.- 30 Time-dependent Parametric Model Order Reduction for Material Removal Simulations
PDEs defined on domains with variable shape.- 13 Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.- 14 A-posteriori error estimation of discrete POD models for PDE-constrained optimal control.- 15 Hi-POD solution of parametrized fluid dynamics problems: preliminary results.- 16 Adaptive sampling for nonlinear dimensionality reduction based on manifold learning.- 17 Cross-Gramian-Based Model Reduction: A Comparison.- 18 Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction.- 19 Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling.- 20 A HJB-POD approach to the control of the level set equation.- 21 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation.- 22 Interpolatory methods for H model reduction of multi-input/multi-output systems.- 23 Model reduction of linear time-varying systems with applications for moving loads.- 24 Interpolation Strategy for BT-based Parametric MOR of Gas Pipeline-Networks.- 25 Energy stable model order reduction for the Allen-Cahn equation.- 26 MOR-based Uncertainty Quantification in Transcranial Magnetic Stimulation.- 27 Model Order Reduction of Nonlinear Eddy Current Problems using Missing Point Estimation.- 28 On Efficient Approaches for Solving a Cake Filtration Model under Parameter Variation.- 29 Model reduction for coupled near-well and reservoir models using multiple space-time discretizations.- 30 Time-dependent Parametric Model Order Reduction for Material Removal Simulations