New Difference Schemes for Partial Differential Equations
(Sprache: Englisch)
The present monograph is devoted to the construction and investigation of new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for partial differential equations. This approach permits extending...
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Produktinformationen zu „New Difference Schemes for Partial Differential Equations “
The present monograph is devoted to the construction and investigation of new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for partial differential equations. This approach permits extending essentially a class of problems where the theory of difference methods is applicable. Namely, it is now possible to investigate differential equations with variable coefficients and regular and singular perturbation boundary-value problems. The investigation is based on new coercivity inequalities.
The book will be of value for professional mathematicians as well as for advanced students in the fields of numerical analysis, functional analysis, and differential equations.
The book will be of value for professional mathematicians as well as for advanced students in the fields of numerical analysis, functional analysis, and differential equations.
Klappentext zu „New Difference Schemes for Partial Differential Equations “
This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.
Inhaltsverzeichnis zu „New Difference Schemes for Partial Differential Equations “
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
Bibliographische Angaben
- Autoren: Allaberen Ashyralyev , P. E. Sobolevskii
- 2004, 446 Seiten, 3 Schwarz-Weiß-Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3764370548
- ISBN-13: 9783764370541
- Erscheinungsdatum: 25.06.2004
Sprache:
Englisch
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