Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Certified Reduced Basis Methods for Parametrized Partial Differential Equations by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.

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...

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Bibliographic Details
Main Authors: Hesthaven, Jan S. (Author), Rozza, Gianluigi (Author), Stamm, Benjamin (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:SpringerBriefs in Mathematics,
Springer eBook Collection.
Subjects:
Computer mathematics.
Partial differential equations.
Applied mathematics.
Engineering mathematics.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
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.
Physical Description:XIII, 131 p. 32 illus., 27 illus. in color. online resource.
ISBN:9783319224701
ISSN:2191-8198
DOI:10.1007/978-3-319-22470-1

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