03620nam 22007935 450 991025407930332120250627021657.03-319-22470-010.1007/978-3-319-22470-1(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,2191-8201Description 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,2191-8201MathematicsData processingDifferential equationsEngineering mathematicsEngineeringData processingMathematical physicsMathematicsComputational Mathematics and Numerical AnalysisDifferential EquationsMathematical and Computational Engineering ApplicationsTheoretical, Mathematical and Computational PhysicsApplications of MathematicsMathematicsData processing.Differential equations.Engineering mathematics.EngineeringData processing.Mathematical physics.Mathematics.Computational Mathematics and Numerical Analysis.Differential Equations.Mathematical and Computational Engineering Applications.Theoretical, Mathematical and Computational Physics.Applications of Mathematics.515.353Hesthaven Jan S.authttp://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