Certified Reduced Basis Methods for Parame...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

The first book to introduce certified reduced basis methods for parametrized partial differentiation equations

Unique focus on both the mathematical aspects and algorithmic elements of the methods

Essential examples provide a point of departure for the development of more advanced applications

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2015
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SpringerBriefs in Mathematics
Inhalt:	xiii 131 S. 5 s/w Illustr. 27 farbige Illustr. 131 p. 32 illus. 27 illus. in color.
ISBN-13:	9783319224695
ISBN-10:	3319224697
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Hesthaven, Jan S Rozza, Gianluigi Stamm, Benjamin
Auflage:	1st edition 2016
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG SpringerBriefs in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 9 mm
Von/Mit:	Jan S Hesthaven (u. a.)
Erscheinungsdatum:	01.09.2015
Gewicht:	0,236 kg