European University Institute Library

Certified Reduced Basis Methods for Parametrized Partial Differential Equations, by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm

Label
Certified Reduced Basis Methods for Parametrized Partial Differential Equations, by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
Language
eng
resource.imageBitDepth
0
Literary Form
non fiction
Main title
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Medium
electronic resource
Nature of contents
dictionaries
Oclc number
919086945
Responsibility statement
by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
Series statement
Springer eBooksSpringerBriefs in Mathematics,, 2191-8198
Summary
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.--, Provided by publisher
Table Of Contents
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
Classification
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