Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Authors: Hesthaven, Jan S, Rozza, Gianluigi, Stamm, Benjamin
The first book to introduce certified reduced basis methods for parametrized partial differentiation equations
Unique focus on both the mathematical aspects and algorithmic elements of the methods
Essential examples provide a point of departure for the development of more advanced applications

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.

Number of Illustrations and Tables
5 b/w illustrations, 27 illustrations in colour
Topics
Computational Mathematics and Numerical Analysis
Partial Differential Equations
Appl. Mathematics / Computational Methods of Engineering
Theoretical, Mathematical and Computational Physics
Applications of Mathematics