New Difference Schemes for Partial Differential Equations /

The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact differenc...

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Bibliographic Details
Main Author:	Ashyralyev, Allaberen
Corporate Author:	SpringerLink (Online service)
Other Authors:	Sobolevskii, Pavel E.
Format:	eBook
Language:	English
Published:	Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2004.
Series:	Operator theory, advances and applications ; 148.
Subjects:	Mathematics. Algebra. Functional analysis. Operator theory. Differential equations, Partial. Numerical analysis. Équations aux différences. Équations aux dérivées partielles. Partiële differentiaalvergelijkingen. Partielle Differentialgleichung. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Preface
1. Linear Difference Equations
2. Difference Schemes for First Order D.E.
3. Difference Schemes for Second Order D.E.
4. PDE of Parabolic Type
5. PDE of Elliptic Type
6. PDE of Hyperbolic Type
7. Uniform Difference Schemes for Perturbation Problems
8. Appendix: Delay Parabolic D.E.
Comments on the Literature
Bibliography.