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Partial differential equationsmodeli...

Le Dret, Herve.

Partial differential equationsmodeling, analysis and numerical approximation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Partial differential equationsby Herve Le Dret, Brigitte Lucquin.
Reminder of title:	modeling, analysis and numerical approximation /
Author:	Le Dret, Herve.
other author:	Lucquin, Brigitte.
Published:	Cham :Springer International Publishing :2016.
Description:	xi, 395 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Partial.
Online resource:	http://dx.doi.org/10.1007/978-3-319-27067-8
ISBN:	9783319270678$q(electronic bk.)

Partial differential equationsmodeling, analysis and numerical approximation /
Le Dret, Herve.

Partial differential equationsmodeling, analysis and numerical approximation /[electronic resource] :by Herve Le Dret, Brigitte Lucquin. - Cham :Springer International Publishing :2016. - xi, 395 p. :ill., digital ;24 cm. - International series of numerical mathematics,1680373-3149 ;. - International series of numerical mathematics ;v. 136..

Foreword -- Mathematical modeling and PDEs -- The finite difference method for elliptic problems -- A review of analysis -- The variational formulation of elliptic PDEs -- Variational approximation methods for elliptic PDEs -- The finite element method in dimension two -- The heat equation -- The finite difference method for the heat equation -- The wave equation -- The finite volume method -- Index -- References.

This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

ISBN: 9783319270678$q(electronic bk.)

Standard No.: 10.1007/978-3-319-27067-8doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA374 / .L36 2016

Dewey Class. No.: 515.353

Partial differential equationsmodeling, analysis and numerical approximation /
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245 1 0 $a Partial differential equations $h [electronic resource] : $b modeling, analysis and numerical approximation / $c by Herve Le Dret, Brigitte Lucquin.
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490 1 $a International series of numerical mathematics, $x 0373-3149 ; $v 168
505 0 $a Foreword -- Mathematical modeling and PDEs -- The finite difference method for elliptic problems -- A review of analysis -- The variational formulation of elliptic PDEs -- Variational approximation methods for elliptic PDEs -- The finite element method in dimension two -- The heat equation -- The finite difference method for the heat equation -- The wave equation -- The finite volume method -- Index -- References.
520 $a This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.
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