Partial Differential Equations: Modeling, Analysis and Numerical Approximation

• Main Authors: Le Dret, Hervé (Author), Lucquin, Brigitte (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 1st ed. 2016.
• Series: International Series of Numerical Mathematics, 168
• Subjects: Mathematics.; Partial differential equations.; Partial Differential Equations.

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 equ...

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.