國立虎尾科技大學 |

Certified reduced basis methods for parametrized partial differential equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Certified reduced basis methods for parametrized partial differential equations/ by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
Author:	Hesthaven, Jan S.
other author:	Rozza, Gianluigi.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 131 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Differential equations, Partial. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22470-1
ISBN:	9783319224701

Certified reduced basis methods for parametrized partial differential equations
Hesthaven, Jan S.

Certified reduced basis methods for parametrized partial differential equations[electronic resource] /by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm. - Cham :Springer International Publishing :2016. - xiii, 131 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319224701

Standard No.: 10.1007/978-3-319-22470-1doiSubjects--Topical Terms:

527784
Differential equations, Partial.

LC Class. No.: QA374

Dewey Class. No.: 515.353

Certified reduced basis methods for parametrized partial differential equations
LDR:01808nam a2200325 a 4500 001 860354
003 DE-He213
005 20160714144010.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319224701 $q (electronic bk.)
020 $a 9783319224695 $q (paper)
024 7 $a 10.1007/978-3-319-22470-1 $2 doi
035 $a 978-3-319-22470-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA374
072 7 $a PBKS $2 bicssc
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA374 $b .H588 2016
100 1 $a Hesthaven, Jan S. $3 678139
245 1 0 $a Certified reduced basis methods for parametrized partial differential equations $h [electronic resource] / $c by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 131 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Partial. $3 527784
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 669335
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 2 4 $a Applications of Mathematics. $3 669175
700 1 $a Rozza, Gianluigi. $3 1101927
700 1 $a Stamm, Benjamin. $3 1101928
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-22470-1
950 $a Mathematics and Statistics (Springer-11649)