000 04135nam a22006015i 4500
001 978-3-540-78841-6
003 DE-He213
005 20161121231215.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540788416
_9978-3-540-78841-6
024 7 _a10.1007/978-3-540-78841-6
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
245 1 0 _aModel Order Reduction: Theory, Research Aspects and Applications
_h[electronic resource] /
_cedited by Wilhelmus H. A. Schilders, Henk A. van der Vorst, Joost Rommes.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXI, 471 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics in Industry, The European Consortium for Mathematics in Industry,
_x1612-3956 ;
_v13
505 0 _aBasic Concepts -- to Model Order Reduction -- Linear Systems, Eigenvalues, and Projection -- Theory -- Structure-Preserving Model Order Reduction of RCL Circuit Equations -- A Unified Krylov Projection Framework for Structure-Preserving Model Reduction -- Model Reduction via Proper Orthogonal Decomposition -- PMTBR: A Family of Approximate Principal-components-like Reduction Algorithms -- A Survey on Model Reduction of Coupled Systems -- Space Mapping and Defect Correction -- Modal Approximation and Computation of Dominant Poles -- Some Preconditioning Techniques for Saddle Point Problems -- Time Variant Balancing and Nonlinear Balanced Realizations -- Singular Value Analysis and Balanced Realizations for Nonlinear Systems -- Research Aspects and Applications -- Matrix Functions -- Model Reduction of Interconnected Systems -- Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview -- Data-Driven Model Order Reduction Using Orthonormal Vector Fitting -- Model-Order Reduction of High-Speed Interconnects Using Integrated Congruence Transform -- Model Order Reduction for MEMS: Methodology and Computational Environment for Electro-Thermal Models -- Model Order Reduction of Large RC Circuits -- Reduced Order Models of On-Chip Passive Components and Interconnects, Workbench and Test Structures.
520 _aThe goal of this book is three-fold: it describes the basics of model order reduction and related aspects. In numerical linear algebra, it covers both general and more specialized model order reduction techniques for linear and nonlinear systems, and it discusses the use of model order reduction techniques in a variety of practical applications. The book contains many recent advances in model order reduction, and presents several open problems for which techniques are still in development. It will serve as a source of inspiration for its readers, who will discover that model order reduction is a very exciting and lively field.
650 0 _aMathematics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aSystem theory.
650 0 _aComputer mathematics.
650 0 _aNumerical analysis.
650 0 _aEngineering.
650 0 _aElectrical engineering.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aEngineering, general.
650 2 4 _aApplications of Mathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aElectrical Engineering.
700 1 _aSchilders, Wilhelmus H. A.
_eeditor.
700 1 _aVorst, Henk A. van der.
_eeditor.
700 1 _aRommes, Joost.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540788409
830 0 _aMathematics in Industry, The European Consortium for Mathematics in Industry,
_x1612-3956 ;
_v13
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-78841-6
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510136
_d510136