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Integration of equations of parabolic type by the method of nets
International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Oxford, New York,
Pergamon Press; [distributed in the Western Hemisphere by Macmillan, New York]
1964.
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| Colección: | International series of monographs in pure and applied mathematics ;
v. 54. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Integration of Equations of Parabolic Type by the Method of Nets; Copyright Page; Table of Contents; EDITORIAL PREFACE; FOREWORD; AUTHOR'S PREFACE; PART I: CONSTRUCTION OF NET EQUATIONS; Introduction; Chapter 1. Absolutely Unstable Net Equations; Chapter 2. Six-point Symmetric Equation; Chapter 3. Asymmetric Net Equations; Chapter 4. Alternating Method; Chapter 5. Method of Mean Arithmetic, and Multi-nodal Symmetric Method; Chapter 6. Comparison between Explicit and Implicit Equations, and the ""Implicitly-explicit"" Methods
- Chapter 7. Spherical and Cylindrical RegionsChapter 8. Equations of Increased Accuracy; Chapter 9. Net Equations with Fictitious Nodes; Chapter 10. On Bilateral Approximations; Chapter 11. Two-dimensional and Three-dimensional Equations; Chapter 12. Two-dimensional and Multi-dimensional Net Equations of Increased Accuracy; Chapter 13. Non-uniform Nets; Chapter 14. Multi-step Equations; Chapter 15. General Case of Variable and Discontinuous Coefficients; Chapter 16. Parabolic Equations of Higher than the Second Order; Chapter 17. Non-linear Equations; Conclusions
- PART II: THE SOLUTION OF NET EQUATIONSIntroduction; Chapter 1. ""One-dimensional"" Elliptic Net Equations; Chapter 2. Direct Methods; Chapter 3. Ill-conditioned Net Matrices; Chapter 4. Simplest Iterative Method; Chapter 5. Variational Methods; Chapter 6. Methods Using Chebyshev Polynomials; Chapter 7. Iterative Methods of the Second Degree; Chapter 8. Iterative Methods of the nth Degree; Chapter 9. Methods of Successive Displacements; Chapter 10. Methods of Block Iteration; APPENDIX; On the Application of Chebyshev Polynomials to Parabolic Net Equations; REFERENCES; INDEX