Partial Differential Equations: Modeling, Analysis and Numerical Approximation

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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Le Dret, Hervé (Auteur), Lucquin, Brigitte (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Édition:1st ed. 2016.
Collection:International Series of Numerical Mathematics, 168
Sujets:
Differential equations.
Differential Equations.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

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