Certified reduced basis methods for parametrized partial differential equations

• 作者： Hesthaven, Jan S., author.
• 其他作者：
  • Rozza, Gianluigi, author.
  • Stamm, Benjamin, author.
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in mathematics,
• 主題： Differential equations, Partial. , Mathematics. , Computational Mathematics and Numerical Analysis. , Partial Differential Equations. , Appl.Mathematics/Computational Methods of Engineering. , Theoretical, Mathematical and Computational Physics. , Applications of Mathematics.
• ISBN： 9783319224701 (electronic bk.) 、 9783319224695 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 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.
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• 摘要註: 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.
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