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|a 9783319224701
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|a Hesthaven, Jan S.
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|a Certified Reduced Basis Methods for Parametrized Partial Differential Equations
|h Elektronische Ressource
|c by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
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|a 1st ed. 2016
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260 |
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|a Cham
|b Springer International Publishing
|c 2016, 2016
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300 |
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|a XIII, 131 p. 32 illus., 27 illus. in color
|b online resource
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|a 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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653 |
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|a Engineering mathematics
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653 |
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|a Computational Mathematics and Numerical Analysis
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653 |
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|a Mathematics / Data processing
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653 |
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|a Mathematical physics
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653 |
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|a Engineering / Data processing
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653 |
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|a Applications of Mathematics
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653 |
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|a Mathematics
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653 |
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|a Differential Equations
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|a Theoretical, Mathematical and Computational Physics
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653 |
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|a Mathematical and Computational Engineering Applications
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|a Differential equations
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700 |
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|a Rozza, Gianluigi
|e [author]
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|a Stamm, Benjamin
|e [author]
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7 |
|a eng
|2 ISO 639-2
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|b Springer
|a Springer eBooks 2005-
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|a SpringerBriefs in Mathematics
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|a 10.1007/978-3-319-22470-1
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|u https://doi.org/10.1007/978-3-319-22470-1?nosfx=y
|x Verlag
|3 Volltext
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|a 518
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|a 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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