Certified Reduced Basis Methods for Parametrized Partial Differential Equations

• Main Authors: Hesthaven, Jan S. (Author), Rozza, Gianluigi (Author), Stamm, Benjamin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Physics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.

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...

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.