Certified Reduced Basis Methods for Parametrized Partial Differential Equations - Benjamin Stamm,Jan S Hesthaven,Gianluigi Rozza
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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, ... Full description
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Description
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.
More Information
| Author | Benjamin Stamm, Jan S Hesthaven, Gianluigi Rozza |
|---|---|
| Publisher | Springer Nature Switzerland |
| Series | SpringerBriefs in Mathematics |
| Release year | 2015 |
| Cover type | Softcover |
| EAN | 9783319224695 |