论文目录 | |
| Abstract in Chinese | 第1-5
页 |
| Abstract in English | 第5-6
页 |
| Preface | 第6-9
页 |
| 1 Preliminaries | 第9-11
页 |
| · Compact dfifference scheme for the second derivative | 第9-10
页 |
| · Richardson extrapolation | 第10-11
页 |
| 2 High-order algorithm for solving two-dimensional problem | 第11-27
页 |
| · Introduction | 第11
页 |
| · Fourth-order algorithm based on approximate factorization | 第11-15
页 |
| · Stability of the algorithm | 第15-17
页 |
| · Numerical approximation for nonlinear evolution equation | 第17-20
页 |
| · High-order accuracy in the temporal dimension | 第20-21
页 |
| · Numerical results | 第21-27
页 |
| 3 High-order algorithm for solving three-dimensional problem | 第27-44
页 |
| · Introduction | 第27
页 |
| · Fourth-order algorithm based on approximate factorization | 第27-32
页 |
| · Stability of the algorithm | 第32-34
页 |
| · Numerical algorithm for solving nonlinear evolution equation | 第34-38
页 |
| · High-order accuracy in the temporal dimension | 第38
页 |
| · Numerical results | 第38-44
页 |
| 4 Concluding remarks | 第44-45
页 |
| Bibliography | 第45-47
页 |
| Acknowledgements | 第47
页 |
