LEADER 03620nam 22007935 450 001 9910254079303321 005 20250627021657.0 010 $a3-319-22470-0 024 7 $a10.1007/978-3-319-22470-1 035 $a(CKB)3710000000466525 035 $a(EBL)4178489 035 $a(SSID)ssj0001546669 035 $a(PQKBManifestationID)16140785 035 $a(PQKBTitleCode)TC0001546669 035 $a(PQKBWorkID)14796226 035 $a(PQKB)11154932 035 $a(DE-He213)978-3-319-22470-1 035 $a(MiAaPQ)EBC4178489 035 $a(PPN)188458409 035 $a(EXLCZ)993710000000466525 100 $a20150820d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCertified Reduced Basis Methods for Parametrized Partial Differential Equations /$fby Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (139 p.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 300 $aDescription based upon print version of record. 311 08$a3-319-22469-7 327 $a1 Introduction and Motivation -- 2 Parametrized Differential Equations -- 3 Reduced Basis Methods -- 4 Certified Error Control -- 5 The Empirical Interpolation Method -- 6 Beyond the Basics -- 7 Appendix A Mathematical Preliminaries. 330 $aThis book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aMathematics$xData processing 606 $aDifferential equations 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aMathematical physics 606 $aMathematics 606 $aComputational Mathematics and Numerical Analysis 606 $aDifferential Equations 606 $aMathematical and Computational Engineering Applications 606 $aTheoretical, Mathematical and Computational Physics 606 $aApplications of Mathematics 615 0$aMathematics$xData processing. 615 0$aDifferential equations. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aMathematical physics. 615 0$aMathematics. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aDifferential Equations. 615 24$aMathematical and Computational Engineering Applications. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aApplications of Mathematics. 676 $a515.353 700 $aHesthaven$b Jan S.$4aut$4http://id.loc.gov/vocabulary/relators/aut$0503681 702 $aRozza$b Gianluigi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aStamm$b Benjamin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254079303321 996 $aCertified Reduced Basis Methods for Parametrized Partial Differential Equations$92129508 997 $aUNINA