| 摘要 | 第3-4页 |
| ABSTRACT(英文摘要) | 第4页 |
| 1 Introduction | 第6-11页 |
| 1.1 Introduction of Runge-Kutta Method for Ordinary Differential Equations | 第6-8页 |
| 1.2 Symplectic Runge-Kutta Methods | 第8-10页 |
| 1.3 Introduction of Delay Differential Equations | 第10-11页 |
| 2 Multisymplectic Conservation Law of RLW Equation | 第11-26页 |
| 2.1 Introduction | 第11-12页 |
| 2.2 Multisymplectic Conservation Law of Runge-Kutta Methods for RLW Equation | 第12-20页 |
| 2.3 Multisymplectic Conservation Law of Partition Runge-Kutta Methods for RLW Equation | 第20-26页 |
| 3 Multisymplectic Conservation Law of KP Equation | 第26-46页 |
| 3.1 Introduction | 第26-27页 |
| 3.2 Multisymplectic Conservation Law of Runge-Kutta Methods for KP Equation | 第27-38页 |
| 3.3 Multisymplectic Conservation Law of Partition Runge-Kutta Methods for KP Equation | 第38-46页 |
| 4 The GPL-stability of Runge-Kutta Methods for Second Order Delay Differential Systems | 第46-59页 |
| 4.1 Introduction | 第46-48页 |
| 4.2 The GP-stability of the IRK methods for Second Order Delay Differential Equation | 第48-53页 |
| 4.3 The GPL-stability of the IRK methods for Second Order Delay Differential Equation | 第53-59页 |
| 致谢及声明 | 第59-61页 |
