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Certified Reduced Basis Methods for Parametrized Partial Differential Equations
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Certified Reduced Basis Methods for Parametrized Partial Differential Equations ([EBook]) / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author
Hesthaven, Jan S.
Added Personal Name
Rozza, Gianluigi
author.
Stamm, Benjamin
author.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2016.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
XIII, 131 p. 32 illus., 27 illus. in color. : online resource.
Series
SpringerBriefs in Mathematics
2191-8198
ISBN
9783319224701
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-22470-1
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Appl.Mathematics/Computational Methods of Engineering
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Computational Mathematics and Numerical Analysis
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Computer mathematics
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Engineering mathematics
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Mathematics
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Partial differential equations
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Physics
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Theoretical, Mathematical and Computational Physics
.
Authors:
Hesthaven, Jan S.
.
Rozza, Gianluigi
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Stamm, Benjamin
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
518
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