Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Series: SpringerBriefs in Mathematics;
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Product details:
- Edition number 1st ed. 2016
- Publisher Springer International Publishing
- Date of Publication 1 September 2015
- Number of Volumes 1 pieces, Book
- ISBN 9783319224695
- Binding Paperback
- No. of pages131 pages
- Size 235x155 mm
- Weight 454 g
- Language English
- Illustrations XIII, 131 p. 32 illus., 27 illus. in color. Illustrations, black & white 0
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Long 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.
MoreTable 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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