TY  - BOOK
AU  - Hesthaven,Jan S.
AU  - Rozza,Gianluigi
AU  - Stamm,Benjamin
ED  - SpringerLink (Online service)
TI  - Certified Reduced Basis Methods for Parametrized Partial Differential Equations
T2  - SpringerBriefs in Mathematics,
SN  - 9783319224701
AV  - QA71-90 
U1  - 518 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Computer science
KW  - Mathematics
KW  - Differential equations, partial
KW  - Engineering mathematics
KW  - Computational Mathematics and Numerical Analysis
KW  - Partial Differential Equations
KW  - Mathematical and Computational Engineering
KW  - Theoretical, Mathematical and Computational Physics
KW  - Applications of Mathematics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-22470-1
ER  -