大葉大學圖書館 |

Certified reduced basis methods for parametrized partial differential equations[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/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.
標題:	Mathematics.
標題:	Computational Mathematics and Numerical Analysis.
標題:	Partial Differential Equations.
標題:	Appl.Mathematics/Computational Methods of Engineering.
標題:	Theoretical, Mathematical and Computational Physics.
標題:	Applications of Mathematics.
ISBN:	9783319224701
ISBN:	9783319224695
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-22470-1

Certified reduced basis methods for parametrized partial differential equations[electronic resource] /
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:

389324
Differential equations, Partial.

LC Class. No.: QA374

Dewey Class. No.: 515.353

Certified reduced basis methods for parametrized partial differential equations[electronic resource] /
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