Certified reduced basis methods for parametrized partial differential equations [electronic resource] / Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm.
2016
QA374
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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
3319224700 (electronic book)
9783319224695
3319224697
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.
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Access limited to authorized users.
Added Author
Rozza, Gianluigi, author.
Stamm, Benjamin, author.
Stamm, Benjamin, author.
Added Corporate Author
BCAM (Centre)
Series
SpringerBriefs in mathematics.
BCAM SpringerBriefs.
BCAM SpringerBriefs.
Available in Other Form
Print version: 9783319224695
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Table of Contents
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.
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.