| Abstract in Chinese | 第1-6页 |
| Abstract | 第6-7页 |
| 1 Introduction | 第7-13页 |
| ·Statement of the problem | 第8-9页 |
| ·The natural boundary element method | 第9-10页 |
| ·Spheroidal wave functions | 第10-11页 |
| ·Overview | 第11-13页 |
| 2 Natural Boundary Element Method | 第13-21页 |
| ·Poisson integral formula and natural integral equation | 第13-16页 |
| ·Variational problem | 第16-17页 |
| ·Discrete variational problem | 第17-21页 |
| 3 Spheroidal Wave Functions and Their Computations | 第21-35页 |
| ·Introduction | 第21-22页 |
| ·Spheroidal coordinate and spheroidal wave functions | 第22-25页 |
| ·The determination of the eigenvalues and intermediate coefficients | 第25-29页 |
| ·The calculation of prolate spheroidal wave functions and their derivatives | 第29-32页 |
| ·Calculation of angular spheroidal wave functions | 第29-30页 |
| ·Calculation of radial spheroidal wave functions | 第30-32页 |
| ·Derivatives of the angular and the radial spheroidal wave functions | 第32页 |
| ·Concluding remarks | 第32-35页 |
| Bibliography | 第35-39页 |
| Acknowledgements | 第39页 |
