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Certified reduced basis methods for ...

Hesthaven, Jan S.

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Certified reduced basis methods for parametrized partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Certified reduced basis methods for parametrized partial differential equations/ by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author:	Hesthaven, Jan S.
other author:	Rozza, Gianluigi.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 131 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Differential equations, Partial. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22470-1
ISBN:	9783319224701$q(electronic bk.)

Certified reduced basis methods for parametrized partial differential equations
Hesthaven, Jan S.

Certified reduced basis methods for parametrized partial differential equations[electronic resource] /by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm. - Cham :Springer International Publishing :2016. - xiii, 131 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319224701$q(electronic bk.)

Standard No.: 10.1007/978-3-319-22470-1doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA374

Dewey Class. No.: 515.353

Certified reduced basis methods for parametrized partial differential equations
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100 1 $a Hesthaven, Jan S. $3 899741
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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xiii, 131 p. : $b ill., digital ; $c 24 cm.
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 Differential equations, Partial. $3 518115
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 890892
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Rozza, Gianluigi. $3 1621072
700 1 $a Stamm, Benjamin. $3 2179213
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-22470-1
950 $a Mathematics and Statistics (Springer-11649)