LEADER 03394nam 22007335 450 001 9910253966603321 005 20250717140248.0 010 $a94-6239-189-0 024 7 $a10.2991/978-94-6239-189-5 035 $a(CKB)3710000000602470 035 $a(SSID)ssj0001658772 035 $a(PQKBManifestationID)16441656 035 $a(PQKBTitleCode)TC0001658772 035 $a(PQKBWorkID)14989763 035 $a(PQKB)10472901 035 $a(DE-He213)978-94-6239-189-5 035 $a(MiAaPQ)EBC5555625 035 $a(Au-PeEL)EBL5555625 035 $a(OCoLC)941971493 035 $a(MiAaPQ)EBC6819094 035 $a(Au-PeEL)EBL6819094 035 $z(PPN)258868031 035 $a(PPN)192220985 035 $a(EXLCZ)993710000000602470 100 $a20160220d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIndex-aware Model Order Reduction Methods $eApplications to Differential-Algebraic Equations /$fby N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders 205 $a1st ed. 2016. 210 1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2016. 215 $a1 online resource (IX, 86 p. 25 illus., 6 illus. in color.) 225 1 $aAtlantis Studies in Scientific Computing in Electromagnetics,$x2352-0604 ;$v2 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a94-6239-188-2 320 $aIncludes bibliographical references. 327 $aIntroduction -- Di?erential-Algebraic Equations -- Decoupling of linear constant DAEs -- Index-aware model order reduction -- Large scale problems -- Conclusion. 330 $aThe main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system of ordinary differential equations (ODE) and a system of algebraic equations, which are then reduced separately. For the reduction of the ODE system, conventional MOR methods can be used, whereas for the reduction of the algebraic systems new methods are discussed. The discussion focuses on the index-aware model order reduction method (IMOR) and its variations, methods for which the so-called index of the original model is automatically preserved after reduction. 410 0$aAtlantis Studies in Scientific Computing in Electromagnetics,$x2352-0604 ;$v2 606 $aMathematics$xData processing 606 $aElectrical engineering 606 $aComputer science$xMathematics 606 $aComputational Mathematics and Numerical Analysis 606 $aElectrical and Electronic Engineering 606 $aMathematics of Computing 615 0$aMathematics$xData processing. 615 0$aElectrical engineering. 615 0$aComputer science$xMathematics. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aElectrical and Electronic Engineering. 615 24$aMathematics of Computing. 676 $a512.56 700 $aBanagaaya$b N.$01060878 702 $aAli$b G. 702 $aSchilders$b W. H. A$g(Wil), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910253966603321 996 $aIndex-aware Model Order Reduction Methods$92516020 997 $aUNINA