Partial differential equations : modeling, analysis and numerical approximation /

Partial differential equations : modeling, analysis and numerical approximation /

Saved in:

Bibliographic Details
Author / Creator:	Le Dret, H., author.
Imprint:	Cham : Birkhäuser, 2016.
Description:	1 online resource (xi, 395 pages) : illustrations (some color)
Language:	English
Series:	International series of numerical mathematics, 0373-3149 ; volume 168 International series of numerical mathematics ; v. 168.
Subject:	Differential equations, Partial. Differential equations, Partial -- Numerical solutions. Differential equations, Partial. Differential equations, Partial -- Numerical solutions. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11253028

Hidden Bibliographic Details
Other authors / contributors:	Lucquin, Brigitte, author.
ISBN:	9783319270678 3319270672 3319270656 9783319270654 9783319270654
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. English. Online resource; title from PDF title page (SpringerLink, viewed February 18, 2016).
Summary:	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.
Other form:	Printed edition: 9783319270654
Standard no.:	10.1007/978-3-319-27067-8

Table of Contents:

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.