Partial differential equations [electronic resource] : modeling, analysis and numerical approximation / Hervé Le Dret, Brigitte Lucquin.
Le Dret, H., author.; Lucquin, Brigitte, author.
2016
QA377
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Partial differential equations [electronic resource] : modeling, analysis and numerical approximation / Hervé Le Dret, Brigitte Lucquin.
Author Le Dret, H., author.
ISBN 9783319270678 (electronic book)
3319270672 (electronic book)
9783319270654
DOI https://doi.org/10.1007/978-3-319-27067-8
Published Cham : Birkhäuser, 2016.
Language English
Description 1 online resource (xi, 395 pages) : illustrations.
Item Number 10.1007/978-3-319-27067-8 doi
Call Number QA377
Dewey Decimal Classification 515/.353
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. .
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed February 18, 2016).
Added Author Lucquin, Brigitte, author.
Series International series of numerical mathematics ; v. 168.
Available in Other Form Print version: 9783319270654
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export