Certified Reduced Basis Methods for Parametrized Partial Differential Equations

• Κύριοι συγγραφείς: Hesthaven, Jan S. (Συγγραφέας), Rozza, Gianluigi (Συγγραφέας), Stamm, Benjamin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Physics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.
• Φυσική περιγραφή: XIII, 131 p. 32 illus., 27 illus. in color. online resource.
• ISBN: 9783319224701
• ISSN: 2191-8198

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.