ENGLISH

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

By Jan S Hesthaven , Gianluigi Rozza , Benjamin Stamm (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-22469-5, 978-3-319-22470-1
DOI
10.1007/978-3-319-22470-1
Language
english
Format
PDF
Filesize
3 MB (3406049 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
XIII, 131\139
Time added
2015-11-25 16:51:03
Computational Mathematics and Numerical Analysis;Mathematical and Computational Physics; Applicatio

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.

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