國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Partial differential equationsmodeli...

Le Dret, Herve.

Partial differential equationsmodeling, analysis and numerical approximation /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Partial differential equationsby Herve Le Dret, Brigitte Lucquin.
其他題名:	modeling, analysis and numerical approximation /
作者:	Le Dret, Herve.
其他作者:	Lucquin, Brigitte.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xi, 395 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
電子資源:	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 /
LDR:02335nmm a2200325 a 4500 001 483454
003 DE-He213
005 20160825120639.0
006 m d
007 cr nn 008maaau
008 161007s2016 gw s 0 eng d
020 $a 9783319270678$q(electronic bk.)
020 $a 9783319270654$q(paper)
024 7 $a 10.1007/978-3-319-27067-8 $2 doi
035 $a 978-3-319-27067-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA374 $b .L36 2016
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA374 $b .L433 2016
100 1 $a Le Dret, Herve. $3 741023
245 1 0 $a Partial differential equations $h [electronic resource] : $b modeling, analysis and numerical approximation / $c by Herve Le Dret, Brigitte Lucquin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xi, 395 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Differential equations, Partial $x Numerical solutions. $3 185034
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
700 1 $a Lucquin, Brigitte. $3 211451
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a International series of numerical mathematics ; $v v. 136. $3 450538
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27067-8
950 $a Mathematics and Statistics (Springer-11649)