LEADER 05634nam 22008775 450 001 9910299987603321 005 20251113193523.0 010 $a3-319-02090-0 024 7 $a10.1007/978-3-319-02090-7 035 $a(CKB)3710000000125815 035 $a(EBL)1782101 035 $a(SSID)ssj0001277536 035 $a(PQKBManifestationID)11692497 035 $a(PQKBTitleCode)TC0001277536 035 $a(PQKBWorkID)11279693 035 $a(PQKB)11317391 035 $a(MiAaPQ)EBC1782101 035 $a(DE-He213)978-3-319-02090-7 035 $a(PPN)179767941 035 $a(EXLCZ)993710000000125815 100 $a20140605d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aReduced Order Methods for Modeling and Computational Reduction /$fedited by Alfio Quarteroni, Gianluigi Rozza 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (338 p.) 225 1 $aMS&A, Modeling, Simulation and Applications,$x2037-5263 ;$v9 300 $aDescription based upon print version of record. 311 08$a1-322-13366-2 311 08$a3-319-02089-7 320 $aIncludes bibliographical references. 327 $a1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems -- 2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced-Basis and the Loewner Framework -- 3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations -- 4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System -- 5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization -- 6 P. Benner, L. Feng: A Robust Algorithm for Parametric Model Order Reduction based on Implicit Moment Matching -- 7 F. Chen, J. S. Hesthaven, X. Zhu: On the use of reduced basis methods to accelerate and stabilize the Parareal method -- 8 C. Farhat, D. Amsallem: On the stability of reduced-order linearized computational fluid dynamics models based on POD and Galerkin projection: descriptor vs non-descriptor forms -- 9 T. Lassila, A. Manzoni, A. Quarteroni, G. Rozza: Model Order Reduction in Fluid Dynamics: Challenges and Perspectives -- 10 L. Grinberg, M. Deng, A. Yakhot, G. Karniadakis: Window Proper Orthogonal Decomposition. Application to Continuum and Atomistic Data -- 11 M. Bergmann, T. Colin, A. Iollo, D. Lombardi, O. Saut, H. Telib: Reduced order models at work in Aeronautics and Medicine. 330 $aThis monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics.  Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems. 410 0$aMS&A, Modeling, Simulation and Applications,$x2037-5263 ;$v9 606 $aMathematics$xData processing 606 $aNumerical analysis 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aMathematical models 606 $aMechanics, Applied 606 $aSolids 606 $aMathematical physics 606 $aComputational Mathematics and Numerical Analysis 606 $aNumerical Analysis 606 $aMathematical and Computational Engineering Applications 606 $aMathematical Modeling and Industrial Mathematics 606 $aSolid Mechanics 606 $aTheoretical, Mathematical and Computational Physics 615 0$aMathematics$xData processing. 615 0$aNumerical analysis. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aMathematical models. 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aMathematical physics. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aNumerical Analysis. 615 24$aMathematical and Computational Engineering Applications. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSolid Mechanics. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a004.0151 702 $aQuarteroni$b Alfio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRozza$b Gianluigi$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299987603321 996 $aReduced order methods for modeling and computational reduction$91410207 997 $aUNINA