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Certified reduced basis methods for parametrized partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Certified reduced basis methods for parametrized partial differential equations/ by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
作者:	Hesthaven, Jan S.
其他作者:	Rozza, Gianluigi.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiii, 131 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differential equations, Partial. -
電子資源:	http://dx.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. - Cham :Springer International Publishing :2016. - xiii, 131 p. :ill., digital ;24 cm. - 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:

527784
Differential equations, Partial.

LC Class. No.: QA374

Dewey Class. No.: 515.353

Certified reduced basis methods for parametrized partial differential equations
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