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Certified Reduced Basis Methods for Parametrized Partial Differential Equations / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Hesthaven, Jan S., Author.
- Rozza, Gianluigi, Author.
- Stamm, Benjamin, Author.
- Series:
- SpringerBriefs in Mathematics, 2191-8201
- Language:
- English
- Subjects (All):
- Mathematics--Data processing.
- Mathematics.
- Differential equations.
- Engineering mathematics.
- Engineering--Data processing.
- Engineering.
- Mathematical physics.
- Computational Mathematics and Numerical Analysis.
- Differential Equations.
- Mathematical and Computational Engineering Applications.
- Theoretical, Mathematical and Computational Physics.
- Applications of Mathematics.
- Local Subjects:
- Computational Mathematics and Numerical Analysis.
- Differential Equations.
- Mathematical and Computational Engineering Applications.
- Theoretical, Mathematical and Computational Physics.
- Applications of Mathematics.
- Physical Description:
- 1 online resource (139 p.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based upon print version of record.
- ISBN:
- 3-319-22470-0
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