Partial Differential Equations: Modeling, Analysis and Numerical Approximation

• Κύριοι συγγραφείς: Le Dret, Hervé (Συγγραφέας), Lucquin, Brigitte (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: International Series of Numerical Mathematics, 168
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.