The Resource Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book)
Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book)
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The item Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new outofthebox algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike
 Language
 eng
 Extent
 1 online resource (ix, 179 pages)
 Contents

 An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations / Peter Benner and Pawan Goyal  Greedy Kernel Approximation for Sparse Surrogate Modeling / Bernard Haasdonk and Gabriele Santin  SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition / Dennis Beermann, Michael Dellnitz, Sebastian Peitz and Stefan Volkwein  Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls / Matthias Heinkenschloss and Dörte Jando  A Direct Index 1 DAE Model of Gas Networks / Peter Benner, Maike Braukmüller and Sara Grundel  Model Order Reduction for Rotating Electrical Machines / Zeger Bontinck, Oliver Lass, Oliver Rain and Sebastian Schöps  MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond / Jörg Fehr, Dennis Grunert, Philip Holzwarth, Benjamin Fröhlich, Nadine Walker and Peter Eberhard  Model Order Reduction a Key Technology for Digital Twins / Dirk Hartmann, Matthias Herz and Utz Wever
 Intro; Preface; KoMSO Workshop; Contents; An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations; 1 Introduction; 2 Model Reduction for QuadraticBilinear ODEs; 3 Transformation of a QBDAE into a QBODE and Model Reduction; Computational Issues; 4 Numerical Experiment; LidDriven Cavity; 5 Conclusions; References; Greedy Kernel Approximation for Sparse Surrogate Modeling; 1 Introduction; 2 Scattered Data Interpolation of HighDimensional Functions; KernelBased Interpolation of ScalarValued Functions
 Dealing with VectorValued Functions; 3 Sparse Kernel Models via Greedy Algorithms; Greedy Methods: Symmetric VKOGA; A New Greedy Algorithm: Nonsymmetric VKOGA; 4 Experiments; Example of Application on Artificial Data; Human Spine Simulation; 5 Outlook; References; SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition; 1 Introduction; 2 The Multiobjective Optimal Control Problem; The State Equation and Its Galerkin Discretization; Multiobjective Optimization; 3 ModelOrder Reduction; The POD Galerkin Scheme for the State Equation; Error Estimation
 Heuristic Error Correction; ULocal Reduced Bases: A Numerical Algorithm; 4 Numerical Results; Problem Specification and General Setup; Algorithmic Results; 5 Conclusion and Outlook; References; Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls; 1 Introduction; 2 Optimality Conditions and Hessian Computations; 3 Overview of Our Solution Approach; Iteration; ReducedOrder Model Hessian Approximation; Basic ROM and Augmented ROM; 4 Sequential Basic ROM Hessians for Decoupled Scalar Problems; Optimal Control Problem
 Sequential Hessian Approximation Using the Basic ROM; Sequential Hessian Approximation Using the Augmented ROM; 5 Algorithms Based on Sequential ReducedOrder Models; 6 Numerical Results; 7 Conclusions; References; A Direct Index 1 DAE Model of Gas Networks; 1 Introduction; 2 The Model; Gas Physics; The Network as a Graph; Discretization; 3 Index; Tractability Index; Other Discretizations; 4 Model Order Reduction; Proper Orthogonal Decomposition; Reduced Gas Models; 5 Numerical Results; Models; Discretization Effects; Comparison of the Original and Approximated DAE; Model Order Reduction
 6 Conclusions; References; Model Order Reduction for Rotating Electrical Machines; 1 Introduction; 2 Problem Description; Model Problem; Finite Element Discretization; 3 Model Order Reduction; Reduced Order Model; Proper Orthogonal Decomposition; Adaptive Strategy; 4 Numerical Results; 5 Conclusion; References; MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond; 1 Introduction; 2 Morembs and MatMorembs; 3 Implemented MOR Methods and Algorithmic Improvement; Model Reduction Classes and Coupling of Reduced Order Models; Nonstationary Boundary Conditions
 Isbn
 9783319753188
 Label
 Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing
 Title
 Reducedorder modeling (ROM) for simulation and optimization
 Title remainder
 powerful algorithms as key enablers for scientific computing
 Statement of responsibility
 Winfried Keiper, Anja Milde, Stefan Volkwein, editors
 Language
 eng
 Summary
 This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new outofthebox algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike
 Cataloging source
 GW5XE
 Dewey number
 511/.8
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA401
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Keiper, Winfried
 Milde, Anja
 Volkwein, Stefan
 http://library.link/vocab/subjectName

 Mathematical models
 Mathematical optimization
 Operator equations, Nonlinear
 Mathematics
 Mathematical Modeling and Industrial Mathematics
 ComputerAided Engineering (CAD, CAE) and Design
 Control, Robotics, Mechatronics
 Physics of Energy Technology
 Applications of Mathematics
 Numerical Analysis
 Label
 Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations / Peter Benner and Pawan Goyal  Greedy Kernel Approximation for Sparse Surrogate Modeling / Bernard Haasdonk and Gabriele Santin  SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition / Dennis Beermann, Michael Dellnitz, Sebastian Peitz and Stefan Volkwein  Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls / Matthias Heinkenschloss and Dörte Jando  A Direct Index 1 DAE Model of Gas Networks / Peter Benner, Maike Braukmüller and Sara Grundel  Model Order Reduction for Rotating Electrical Machines / Zeger Bontinck, Oliver Lass, Oliver Rain and Sebastian Schöps  MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond / Jörg Fehr, Dennis Grunert, Philip Holzwarth, Benjamin Fröhlich, Nadine Walker and Peter Eberhard  Model Order Reduction a Key Technology for Digital Twins / Dirk Hartmann, Matthias Herz and Utz Wever
 Intro; Preface; KoMSO Workshop; Contents; An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations; 1 Introduction; 2 Model Reduction for QuadraticBilinear ODEs; 3 Transformation of a QBDAE into a QBODE and Model Reduction; Computational Issues; 4 Numerical Experiment; LidDriven Cavity; 5 Conclusions; References; Greedy Kernel Approximation for Sparse Surrogate Modeling; 1 Introduction; 2 Scattered Data Interpolation of HighDimensional Functions; KernelBased Interpolation of ScalarValued Functions
 Dealing with VectorValued Functions; 3 Sparse Kernel Models via Greedy Algorithms; Greedy Methods: Symmetric VKOGA; A New Greedy Algorithm: Nonsymmetric VKOGA; 4 Experiments; Example of Application on Artificial Data; Human Spine Simulation; 5 Outlook; References; SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition; 1 Introduction; 2 The Multiobjective Optimal Control Problem; The State Equation and Its Galerkin Discretization; Multiobjective Optimization; 3 ModelOrder Reduction; The POD Galerkin Scheme for the State Equation; Error Estimation
 Heuristic Error Correction; ULocal Reduced Bases: A Numerical Algorithm; 4 Numerical Results; Problem Specification and General Setup; Algorithmic Results; 5 Conclusion and Outlook; References; Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls; 1 Introduction; 2 Optimality Conditions and Hessian Computations; 3 Overview of Our Solution Approach; Iteration; ReducedOrder Model Hessian Approximation; Basic ROM and Augmented ROM; 4 Sequential Basic ROM Hessians for Decoupled Scalar Problems; Optimal Control Problem
 Sequential Hessian Approximation Using the Basic ROM; Sequential Hessian Approximation Using the Augmented ROM; 5 Algorithms Based on Sequential ReducedOrder Models; 6 Numerical Results; 7 Conclusions; References; A Direct Index 1 DAE Model of Gas Networks; 1 Introduction; 2 The Model; Gas Physics; The Network as a Graph; Discretization; 3 Index; Tractability Index; Other Discretizations; 4 Model Order Reduction; Proper Orthogonal Decomposition; Reduced Gas Models; 5 Numerical Results; Models; Discretization Effects; Comparison of the Original and Approximated DAE; Model Order Reduction
 6 Conclusions; References; Model Order Reduction for Rotating Electrical Machines; 1 Introduction; 2 Problem Description; Model Problem; Finite Element Discretization; 3 Model Order Reduction; Reduced Order Model; Proper Orthogonal Decomposition; Adaptive Strategy; 4 Numerical Results; 5 Conclusion; References; MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond; 1 Introduction; 2 Morembs and MatMorembs; 3 Implemented MOR Methods and Algorithmic Improvement; Model Reduction Classes and Coupling of Reduced Order Models; Nonstationary Boundary Conditions
 Extent
 1 online resource (ix, 179 pages)
 Form of item
 online
 Isbn
 9783319753188
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319753195
 Other physical details
 illustrations (some color)
 System control number

 (OCoLC)1031467801
 on1031467801
 Label
 Reducedorder modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing, Winfried Keiper, Anja Milde, Stefan Volkwein, editors, (electronic book)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations / Peter Benner and Pawan Goyal  Greedy Kernel Approximation for Sparse Surrogate Modeling / Bernard Haasdonk and Gabriele Santin  SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition / Dennis Beermann, Michael Dellnitz, Sebastian Peitz and Stefan Volkwein  Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls / Matthias Heinkenschloss and Dörte Jando  A Direct Index 1 DAE Model of Gas Networks / Peter Benner, Maike Braukmüller and Sara Grundel  Model Order Reduction for Rotating Electrical Machines / Zeger Bontinck, Oliver Lass, Oliver Rain and Sebastian Schöps  MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond / Jörg Fehr, Dennis Grunert, Philip Holzwarth, Benjamin Fröhlich, Nadine Walker and Peter Eberhard  Model Order Reduction a Key Technology for Digital Twins / Dirk Hartmann, Matthias Herz and Utz Wever
 Intro; Preface; KoMSO Workshop; Contents; An Iterative Model Reduction Scheme for QuadraticBilinear Descriptor Systems with an Application to NavierStokes Equations; 1 Introduction; 2 Model Reduction for QuadraticBilinear ODEs; 3 Transformation of a QBDAE into a QBODE and Model Reduction; Computational Issues; 4 Numerical Experiment; LidDriven Cavity; 5 Conclusions; References; Greedy Kernel Approximation for Sparse Surrogate Modeling; 1 Introduction; 2 Scattered Data Interpolation of HighDimensional Functions; KernelBased Interpolation of ScalarValued Functions
 Dealing with VectorValued Functions; 3 Sparse Kernel Models via Greedy Algorithms; Greedy Methods: Symmetric VKOGA; A New Greedy Algorithm: Nonsymmetric VKOGA; 4 Experiments; Example of Application on Artificial Data; Human Spine Simulation; 5 Outlook; References; SetOriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition; 1 Introduction; 2 The Multiobjective Optimal Control Problem; The State Equation and Its Galerkin Discretization; Multiobjective Optimization; 3 ModelOrder Reduction; The POD Galerkin Scheme for the State Equation; Error Estimation
 Heuristic Error Correction; ULocal Reduced Bases: A Numerical Algorithm; 4 Numerical Results; Problem Specification and General Setup; Algorithmic Results; 5 Conclusion and Outlook; References; Sequential ReducedOrder Modeling for TimeDependent Optimization Problems with Initial Value Controls; 1 Introduction; 2 Optimality Conditions and Hessian Computations; 3 Overview of Our Solution Approach; Iteration; ReducedOrder Model Hessian Approximation; Basic ROM and Augmented ROM; 4 Sequential Basic ROM Hessians for Decoupled Scalar Problems; Optimal Control Problem
 Sequential Hessian Approximation Using the Basic ROM; Sequential Hessian Approximation Using the Augmented ROM; 5 Algorithms Based on Sequential ReducedOrder Models; 6 Numerical Results; 7 Conclusions; References; A Direct Index 1 DAE Model of Gas Networks; 1 Introduction; 2 The Model; Gas Physics; The Network as a Graph; Discretization; 3 Index; Tractability Index; Other Discretizations; 4 Model Order Reduction; Proper Orthogonal Decomposition; Reduced Gas Models; 5 Numerical Results; Models; Discretization Effects; Comparison of the Original and Approximated DAE; Model Order Reduction
 6 Conclusions; References; Model Order Reduction for Rotating Electrical Machines; 1 Introduction; 2 Problem Description; Model Problem; Finite Element Discretization; 3 Model Order Reduction; Reduced Order Model; Proper Orthogonal Decomposition; Adaptive Strategy; 4 Numerical Results; 5 Conclusion; References; MorembsA Model Order Reduction Package for Elastic Multibody Systems and Beyond; 1 Introduction; 2 Morembs and MatMorembs; 3 Implemented MOR Methods and Algorithmic Improvement; Model Reduction Classes and Coupling of Reduced Order Models; Nonstationary Boundary Conditions
 Extent
 1 online resource (ix, 179 pages)
 Form of item
 online
 Isbn
 9783319753188
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319753195
 Other physical details
 illustrations (some color)
 System control number

 (OCoLC)1031467801
 on1031467801
Subject
 Applications of Mathematics
 ComputerAided Engineering (CAD, CAE) and Design
 Control, Robotics, Mechatronics
 Mathematical Modeling and Industrial Mathematics
 Mathematical models
 Mathematical optimization
 Mathematics
 Numerical Analysis
 Operator equations, Nonlinear
 Physics of Energy Technology
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