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＜電子ブック＞
Certified Reduced Basis Methods for Parametrized Partial Differential Equations / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	XIII, 131 p. 32 illus., 27 illus. in color : online resource
著者標目	*Hesthaven, Jan S author Rozza, Gianluigi author Stamm, Benjamin author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Differential equations LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical physics LCSH:Mathematics FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations FREE:Mathematical and Computational Engineering Applications FREE:Theoretical, Mathematical and Computational Physics FREE:Applications of Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-22470-1

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