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Reduced-order modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing / Winfried Keiper, Anja Milde, Stefan Volkwein, editors

データ種別	電子ブック
出版者	(Cham, Switzerland : Springer)
出版年	2018
大きさ	1 online resource (ix, 179 pages) : illustrations (some color)

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URL	配架場所	巻　次	請求記号	登録番号	状　態	コメント	ISBN	刷　年	利用注記	予約	複写取寄	指定図書
URL	研究室		510/R18	1181000047			9783319753195		禁帯出特別本

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一般注記	Online resource; title from PDF title page (SpringerLink, viewed April 18, 2018) Intro; Preface; KoMSO Workshop; Contents; An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations; 1 Introduction; 2 Model Reduction for Quadratic-Bilinear ODEs; 3 Transformation of a QBDAE into a QBODE and Model Reduction; Computational Issues; 4 Numerical Experiment; Lid-Driven Cavity; 5 Conclusions; References; Greedy Kernel Approximation for Sparse Surrogate Modeling; 1 Introduction; 2 Scattered Data Interpolation of High-Dimensional Functions; Kernel-Based Interpolation of Scalar-Valued Functions Dealing with Vector-Valued Functions3 Sparse Kernel Models via Greedy Algorithms; Greedy Methods: Symmetric VKOGA; A New Greedy Algorithm: Non-symmetric VKOGA; 4 Experiments; Example of Application on Artificial Data; Human Spine Simulation; 5 Outlook; References; Set-Oriented 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 Model-Order Reduction; The POD Galerkin Scheme for the State Equation; Error Estimation Heuristic Error CorrectionU-Local Reduced Bases: A Numerical Algorithm; 4 Numerical Results; Problem Specification and General Setup; Algorithmic Results; 5 Conclusion and Outlook; References; Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls; 1 Introduction; 2 Optimality Conditions and Hessian Computations; 3 Overview of Our Solution Approach; Iteration; Reduced-Order 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 ROMSequential Hessian Approximation Using the Augmented ROM; 5 Algorithms Based on Sequential Reduced-Order 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 ConclusionsReferences; 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; Morembs-A 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; Non-stationary Boundary Conditions 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 out-of-the-box 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. Master record variable field(s) change: 072 HTTP:URL=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1789595 Information=EBSCOhost
著者標目	Keiper, Winfried editor Milde, Anja editor Volkwein, Stefan editor
件　名	LCSH:Mathematical models LCSH:Mathematical optimization LCSH:Operator equations, Nonlinear FREE:MATHEMATICS / General FREE:Mathematical models FREE:Mathematical optimization FREE:Operator equations, Nonlinear FREE:Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Computer-Aided Engineering (CAD, CAE) and Design FREE:Control, Robotics, Mechatronics FREE:Physics of Energy Technology FREE:Applications of Mathematics FREE:Numerical Analysis FREE:Electronic books
分　類	LCC:QA401 DC23:511/.8
書誌ID	EB00003524
ISBN	9783319753195