ENGLISH

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

By Jan S Hesthaven , Gianluigi Rozza , Benjamin Stamm

Book information

Publisher
Springer International Publishing : Imprint: Springer
Year
2016
ISBN
3319224697, 978-3-319-22469-5, 978-3-319-22470-1, 3319224700
Language
english
Format
PDF
Filesize
2 MB (2362209 bytes)
Series
SpringerBriefs in Mathematics
Edition
1st ed.
Pages
131\139
Library
kolxoz
Time added
2017-10-15 16:00:00
Mathematical and Computational Physics;ApplicationMathematics;Differential equationsPartial;Computer science -- Mathematics;Engineerin

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. Front Matter....Pages i-xiii Introduction....Pages 1-13 Parametrized Differential Equations....Pages 15-25 Reduced Basis Methods....Pages 27-43 Certified Error Control....Pages 45-66 The Empirical Interpolation Method....Pages 67-85 Beyond the Basics....Pages 87-118 Back Matter....Pages 119-131

Similar books