| Abstract (In English) | 第1-11页 |
| Abstract (In Chinese) | 第11-15页 |
| Chapter 1 Domain Decomposition Difference Methods for Parabolic Problems with variable coefficients | 第15-59页 |
| ·Introduction | 第15-16页 |
| ·Domain Decomposition Procedures with Central Difference Method for PDEs | 第16-22页 |
| ·Notations and Procedures | 第16-17页 |
| ·Numerical Analysis | 第17-19页 |
| ·Procedures for 2-D Problems and l~∞ Estimates | 第19-21页 |
| ·Numerical Experiments | 第21-22页 |
| ·Domain Decomposition with Characteristic Finite Difference Method for Multidimensional Convection-diffusion Problems | 第22-42页 |
| ·Procedures and l~∞ Estimates | 第22-32页 |
| ·3-D Case and l~2 Estimates | 第32-42页 |
| ·Domain Decomposition Procedures with Upwind Differences for Multidimensional Convection-diffusion Problems | 第42-59页 |
| ·Procedures and l~∞ Estimates | 第42-51页 |
| ·l~2 Estimates of Domain Decomposition with Modified Upwind Differences | 第51-59页 |
| Chapter 2 Convergence Analysis of Explicit/Implicit, Conservative Domain Decomposition Procedure for Parabolic Problems Based on Block-Centered Finite Difference | 第59-71页 |
| ·Introduction | 第59页 |
| ·Model and Preliminaries | 第59-62页 |
| ·Numerical Procedures | 第62-63页 |
| ·Convergence Analysis | 第63-69页 |
| ·Numerical Experiments | 第69-71页 |
| Chapter 3 Domain Decomposition Difference Methods for Two-phase Flow Displacement Problems | 第71-99页 |
| ·Introduction | 第71-72页 |
| ·Characteristic Finite Difference Domain Decomposition Method for Two-phase Displacement Problems | 第72-82页 |
| ·Numerical Methods | 第72-74页 |
| ·Convergence Analysis | 第74-80页 |
| ·Numerical Experiments | 第80-82页 |
| ·Domain Decomposition with Upwind Differences for Flow Displacement Problems | 第82-99页 |
| ·Modified Upwind Difference Method | 第82-83页 |
| ·Numerical Analysis | 第83-90页 |
| ·Upwind Difference Procedures and Convergence Analysis | 第90-91页 |
| ·Extension to 3-D case | 第91-95页 |
| ·Numerical Experiments | 第95-99页 |
| Bibliography | 第99-104页 |
| Acknowledgment | 第104-105页 |
| List of publications | 第105-107页 |
| The brief introduction of the author (in Chinese) | 第107-108页 |
| 学位论文评阅及答辩情况表 | 第108页 |
