03914nam 22007695 450 991025407930332120220606183819.03-319-22470-010.1007/978-3-319-22470-1(CKB)3710000000466525(EBL)4178489(SSID)ssj0001546669(PQKBManifestationID)16140785(PQKBTitleCode)TC0001546669(PQKBWorkID)14796226(PQKB)11154932(DE-He213)978-3-319-22470-1(MiAaPQ)EBC4178489(PPN)188458409(EXLCZ)99371000000046652520150820d2016 u| 0engur|n|---|||||txtccrCertified reduced basis methods for parametrized partial differential equations /by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (139 p.)SpringerBriefs in Mathematics,2191-8198Description based upon print version of record.3-319-22469-7 1 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.This 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.SpringerBriefs in Mathematics,2191-8198Computer mathematicsPartial differential equationsApplied mathematicsEngineering mathematicsMathematical physicsComputational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Computer mathematics.Partial differential equations.Applied mathematics.Engineering mathematics.Mathematical physics.Computational Mathematics and Numerical Analysis.Partial Differential Equations.Mathematical and Computational Engineering.Theoretical, Mathematical and Computational Physics.Applications of Mathematics.515.353Hesthaven Jan Sauthttp://id.loc.gov/vocabulary/relators/aut503681Rozza Gianluigiauthttp://id.loc.gov/vocabulary/relators/autStamm Benjaminauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254079303321Certified Reduced Basis Methods for Parametrized Partial Differential Equations2129508UNINA