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Certified reduced basis methods for ...

Hesthaven, Jan S.

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 equationsby 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.
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:

189753
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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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.
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