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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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...

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Main Authors: Hesthaven, Jan S. (Author, http://id.loc.gov/vocabulary/relators/aut), Rozza, Gianluigi. (http://id.loc.gov/vocabulary/relators/aut), Stamm, Benjamin. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:SpringerBriefs in Mathematics,
Subjects:
Computer mathematics.
Partial differential equations.
Applied mathematics.
Engineering mathematics.
Mathematical physics.
Computational Mathematics and Numerical Analysis.
Partial Differential Equations.
Mathematical and Computational Engineering.
Theoretical, Mathematical and Computational Physics.
Applications of Mathematics.
Online Access:https://doi.org/10.1007/978-3-319-22470-1
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.

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