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Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Details
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.
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: sn.pub/extras
Inhalt
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783319224695
- Lesemotiv Verstehen
- Genre Maths
- Auflage 1st edition 2016
- Anzahl Seiten 148
- Herausgeber Springer International Publishing
- Größe H235mm x B155mm x T9mm
- Jahr 2015
- EAN 9783319224695
- Format Kartonierter Einband (Kt)
- ISBN 3319224697
- Veröffentlichung 01.09.2015
- Titel Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Autor Jan S Hesthaven , Benjamin Stamm , Gianluigi Rozza
- Untertitel SpringerBriefs in Mathematics
- Gewicht 236g
- Sprache Englisch