Analysis of Finite Difference Schemes For Linear Partial Differential Equations with Generalized Solutions /

• Main Authors: Jovanović, Boško S. (Author), Süli, Endre (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Series: Springer Series in Computational Mathematics, 46
• Subjects: Mathematics.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.

This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partia...

Table of Contents:

• Distributions and function spaces
• Elliptic boundary-value problems
• Finite difference approximation of parabolic problems
• Finite difference approximation of hyperbolic problems.