Certified reduced basis methods for parametrized partial differential equations [electronic resource] / Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Hesthaven, Jan S., author.; Rozza, Gianluigi, author.; Stamm, Benjamin, author.; BCAM (Centre)
2016
QA374
Available Online

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Title Certified reduced basis methods for parametrized partial differential equations [electronic resource] / Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author Hesthaven, Jan S., author.
ISBN 9783319224701 (electronic book)
3319224700 (electronic book)
9783319224695
3319224697
DOI https://doi.org/10.1007/978-3-319-22470-1
Published Cham : Springer, [2016]
Language English
Description 1 online resource.
Item Number 10.1007/978-3-319-22470-1 doi
Call Number QA374
Dewey Decimal Classification 515/.353
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Rozza, Gianluigi, author.
Stamm, Benjamin, author.
Added Corporate Author BCAM (Centre)
Series SpringerBriefs in mathematics.
BCAM SpringerBriefs.
Available in Other Form Print version: 9783319224695
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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.

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