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001439254 001__ 1439254
001439254 003__ OCoLC
001439254 005__ 20230309004419.0
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001439254 019__ $$a1265465325$$a1281712758
001439254 020__ $$a9783030729837$$q(electronic bk.)
001439254 020__ $$a3030729834$$q(electronic bk.)
001439254 020__ $$z3030729826
001439254 020__ $$z9783030729820
001439254 0247_ $$a10.1007/978-3-030-72983-7$$2doi
001439254 035__ $$aSP(OCoLC)1265524621
001439254 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dNOC$$dOCLCO$$dOCLCF$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001439254 049__ $$aISEA
001439254 050_4 $$aQ295
001439254 08204 $$a003$$223
001439254 1112_ $$aMODRED (Workshop)$$n(5th :$$d2019 :$$cGraz, Austria)
001439254 24510 $$aModel reduction of complex dynamical systems /$$cPeter Benner [and more], editors.
001439254 260__ $$aCham, Switzerland :$$bBirkhäuser,$$c2021.
001439254 300__ $$a1 online resource
001439254 336__ $$atext$$btxt$$2rdacontent
001439254 337__ $$acomputer$$bc$$2rdamedia
001439254 338__ $$aonline resource$$bcr$$2rdacarrier
001439254 4901_ $$aInternational Series of Numerical Mathematics ;$$vv. 171
001439254 5050_ $$aIntro -- Preface -- Contents -- *-20pt Methods and Techniques of Model Order Reduction -- On Bilinear Time-Domain Identification and Reduction in the Loewner Framework -- 1 Introduction -- 1.1 Outline of the Paper -- 2 System Theory Preliminaries -- 2.1 Linear Systems -- 2.2 Nonlinear Systems -- 3 The Loewner Framework -- 3.1 The Loewner Matrix -- 3.2 Construction of Interpolants -- 4 The Special Case of Bilinear Systems -- 4.1 The Growing Exponential Approach -- 4.2 The Kernel Separation Method -- 4.3 Identification of the Matrix N -- 4.4 A Separation Strategy for the second Kernel
001439254 5058_ $$a4.5 The Loewner-Volterra Algorithm for Time-Domain Bilinear Identification and Reduction -- 4.6 Computational Effort of the Proposed Method -- 5 Numerical Examples -- 6 Conclusion -- References -- Balanced Truncation for Parametric Linear Systems Using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches -- 1 Introduction -- 2 Balanced Truncation for Parametric Linear Systems and Standard Interpolation -- 2.1 Balanced Truncation -- 2.2 Interpolation of Gramians for Parametric Model Order Reduction -- 2.3 Offline-Online Decomposition
001439254 5058_ $$a3 Interpolation on the Manifold mathcalS+(k, n) -- 3.1 A Quotient Geometry of mathcalS+(k, n) -- 3.2 Curve and Surface Interpolation on Manifolds -- 4 Numerical Examples -- 4.1 A model for heat conduction in solid material -- 4.2 An Anemometer Model -- 5 Conclusion -- References -- Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition -- 1 Introduction -- 2 Dynamic Mode Decomposition -- 2.1 Dynamic Mode Decomposition with Control (DMDc) -- 2.2 Input-Output Dynamic Mode Decomposition -- 3 The Proposed Extensions -- 3.1 Bilinear Systems -- 3.2 Quadratic-Bilinear Systems
001439254 5058_ $$a4 Numerical Experiments -- 4.1 The Viscous Burgers' Equation -- 4.2 Coupled van der Pol Oscillators -- 5 Conclusion -- 6 Appendix -- 6.1 Computation of the Reduced-Order Matrices for the Quadratic-Bilinear Case -- References -- Clustering-Based Model Order Reduction for Nonlinear Network Systems -- 1 Introduction -- 2 Preliminaries -- 2.1 Graph Theory -- 2.2 Graph Partitions -- 2.3 Linear Multi-agent Systems -- 2.4 Clustering-Based Model Order Reduction -- 2.5 Model Reduction for Non-asymptotically Stable Systems -- 3 Clustering for Linear Multi-agent Systems
001439254 5058_ $$a4 Clustering for Nonlinear Multi-agent Systems -- 4.1 Nonlinear Multi-agent Systems -- 4.2 Clustering by Projection -- 5 Numerical Examples -- 5.1 Small Network Example -- 5.2 van der Pol Oscillators -- 6 Conclusions -- References -- Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain -- 1 Introduction -- 2 Interpolatory MOR -- 3 Greedy Method for Choosing Interpolation Points -- 4 Adaptive Training by Learning the Error Estimator in the Parameter Domain -- 4.1 Radial Basis Functions -- 4.2 Learning the Error Estimator over the Parameter Domain
001439254 506__ $$aAccess limited to authorized users.
001439254 520__ $$aThis contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.
001439254 650_0 $$aSystem theory$$vCongresses.
001439254 650_0 $$aDynamics$$vCongresses.
001439254 650_6 $$aThéorie des systèmes$$vCongrès.
001439254 650_6 $$aDynamique$$vCongrès.
001439254 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772
001439254 655_7 $$aConference papers and proceedings.$$2lcgft
001439254 655_7 $$aActes de congrès.$$2rvmgf
001439254 655_0 $$aElectronic books.
001439254 7001_ $$aBenner, Peter.
001439254 7001_ $$aBreiten, Tobias.
001439254 7001_ $$aFassbender, Heike.
001439254 7001_ $$aHinze, Michael.
001439254 7001_ $$aStykel, Tatjana.
001439254 7001_ $$aZimmermann, Ralf.
001439254 77608 $$iPrint version: $$z3030729826$$z9783030729820$$w(OCoLC)1240494176
001439254 830_0 $$aInternational series of numerical mathematics ;$$vv. 171.
001439254 852__ $$bebk
001439254 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-72983-7$$zOnline Access$$91397441.1
001439254 909CO $$ooai:library.usi.edu:1439254$$pGLOBAL_SET
001439254 980__ $$aBIB
001439254 980__ $$aEBOOK
001439254 982__ $$aEbook
001439254 983__ $$aOnline
001439254 994__ $$a92$$bISE