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Partial differential equations[electronic resource] :modeling, analysis and numerical approximation /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/作者:	Partial differential equations : modeling, analysis and numerical approximation // by Herve Le Dret, Brigitte Lucquin.
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.
標題:	Differential equations, Partial - Numerical solutions.
標題:	Mathematics.
標題:	Partial Differential Equations.
ISBN:	9783319270678
ISBN:	9783319270654
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-27067-8

Partial differential equations[electronic resource] :modeling, 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.160..

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

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

389324
Differential equations, Partial.

LC Class. No.: QA374 / .L36 2016

Dewey Class. No.: 515.353

Partial differential equations[electronic resource] :modeling, analysis and numerical approximation /
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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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