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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Catalogue Information
Field name Details
Dewey Class 518
Title Certified Reduced Basis Methods for Parametrized Partial Differential Equations ([EBook]) / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author Hesthaven, Jan S.
Added Personal Name Rozza, Gianluigi author.
Stamm, Benjamin author.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2016.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details XIII, 131 p. 32 illus., 27 illus. in color. : online resource.
Series SpringerBriefs in Mathematics 2191-8198
ISBN 9783319224701
Summary Note 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 note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-22470-1
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