LEADER 06824nam 22007335 450 001 9910254310203321 005 20200702085153.0 010 $a3-319-58786-2 024 7 $a10.1007/978-3-319-58786-8 035 $a(CKB)4100000000586878 035 $a(DE-He213)978-3-319-58786-8 035 $a(MiAaPQ)EBC5024024 035 $a(PPN)204534747 035 $a(EXLCZ)994100000000586878 100 $a20170905d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModel Reduction of Parametrized Systems /$fedited by Peter Benner, Mario Ohlberger, Anthony Patera, Gianluigi Rozza, Karsten Urban 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 504 p.) 225 1 $aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v17 311 $a3-319-58785-4 320 $aIncludes bibliographical references. 327 $a1 Two ways to treat time in Reduced Basis Methods -- 2 Simultaneous empirical interpolation and reduced basis method. Application to non-linear multi-physics problem -- 3 A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-sided Control Constraints -- 4 A reduced basis method with an exact solution certificate and spatio-parameter adaptivity: application to linear elasticity -- 5 A Reduced Basis Method for Parameter Functions using Wavelet Approximations -- 6 Reduced basis isogeometric mortar approximations for eigenvalue problems in vibroacoustics -- 7 Reduced Basis Approximations for Maxwell?s Equations in Dispersive Media -- 8 Offline Error Bounds for the Reduced Basis Method -- 9 ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics -- 10 Reduced-order semi-implicit schemes for  fluid-structure interaction problems -- 11 True Error Control for the Localized Reduced Basis Method for Parabolic Problems -- 12 Automatic reduction of 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   . 330 $aThe special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems. The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effor t, carried out over the last 12 years, to build a growing research community in this field. Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes). 410 0$aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v17 606 $aComputer mathematics 606 $aNumerical analysis 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMechanics 606 $aMechanics, Applied 606 $aPartial differential equations 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aComputer mathematics. 615 0$aNumerical analysis. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aPartial differential equations. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aNumeric Computing. 615 24$aMathematical and Computational Engineering. 615 24$aSolid Mechanics. 615 24$aPartial Differential Equations. 676 $a518 702 $aBenner$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOhlberger$b Mario$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPatera$b Anthony$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRozza$b Gianluigi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aUrban$b Karsten$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254310203321 996 $aModel reduction of parametrized systems$91503416 997 $aUNINA