Certified reduced basis methods for parametrized partial differential equations /

Certified reduced basis methods for parametrized partial differential equations /

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Bibliographic Details
Author / Creator:	Hesthaven, Jan S., author.
Imprint:	Cham : Springer, [2016]
Description:	1 online resource
Language:	English
Series:	SpringerBriefs in mathematics BCAM SpringerBriefs SpringerBriefs in mathematics. BCAM SpringerBriefs.
Subject:	Differential equations, Partial. Differential equations, Partial.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11247620

Hidden Bibliographic Details
Other authors / contributors:	Rozza, Gianluigi, author. Stamm, Benjamin, author. BCAM (Centre)
ISBN:	9783319224701 3319224700 9783319224695 3319224697
Digital file characteristics:	PDF text file
Notes:	Includes bibliographical references and index. English. Vendor-supplied metadata.
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.
Other form:	Print version: Hesthaven, Jan S. Certified reduced basis methods for parametrized partial differential equations. Cham : Springer, [2016] 3319224697 9783319224695
Standard no.:	10.1007/978-3-319-22470-1

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.