Certified reduced basis methods for parametrized partial differential equations / / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm

• Autore: Hesthaven Jan S
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
• Edizione: 1st ed. 2016.
• Descrizione fisica: 1 online resource (139 p.)
• Disciplina: 515.353
• Soggetto topico: Computer 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
• Persona (resp. second.): RozzaGianluigi; StammBenjamin
• Note generali: Description based upon print version of record.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• ISBN: 3-319-22470-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254079303321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Mathematics, . 2191-8198