Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Differential Equations
Cover of the book Certified Reduced Basis Methods for Parametrized Partial Differential Equations by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm, Springer International Publishing
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Author: Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm ISBN: 9783319224701
Publisher: Springer International Publishing Publication: August 20, 2015
Imprint: Springer Language: English
Author: Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
ISBN: 9783319224701
Publisher: Springer International Publishing
Publication: August 20, 2015
Imprint: Springer
Language: English

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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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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