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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Certified Reduced Basis Methods for Parametrized Partial Differential Equations/ by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author:	Hesthaven, Jan S.
other author:	Rozza, Gianluigi.
Description:	XIII, 131 p. 32 illus., 27 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computer mathematics. -
Online resource:	https://doi.org/10.1007/978-3-319-22470-1
ISBN:	9783319224701

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. - 1st ed. 2016. - XIII, 131 p. 32 illus., 27 illus. in color.online resource. - 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

Standard No.: 10.1007/978-3-319-22470-1doiSubjects--Topical Terms:

1199796
Computer mathematics.

LC Class. No.: QA71-90

Dewey Class. No.: 518

Certified Reduced Basis Methods for Parametrized Partial Differential Equations
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