Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Hesthaven, Jan S. (Συγγραφέας), Rozza, Gianluigi (Συγγραφέας), Stamm, Benjamin (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Έκδοση:1st ed. 2016.
Σειρά:SpringerBriefs in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Hesthaven, Jan S.  |e author. 
245 1 0 |a Certified Reduced Basis Methods for Parametrized Partial Differential Equations  |h [electronic resource] /  |c by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XIII, 131 p. 32 illus., 27 illus. in color.  |b online resource. 
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490 1 |a SpringerBriefs in Mathematics,  |x 2191-8198 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Partial differential equations. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Computer mathematics. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Appl.Mathematics/Computational Methods of Engineering. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
650 2 4 |a Applications of Mathematics. 
700 1 |a Rozza, Gianluigi.  |e author. 
700 1 |a Stamm, Benjamin.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319224695 
830 0 |a SpringerBriefs in Mathematics,  |x 2191-8198 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-22470-1  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)