| PREFACE | 第1-8页 |
| CHAPTER 1 Introduction and Background | 第8-15页 |
| ·Basic Concepts of Integral Equation and Related Theorems of Numerical Quadrature | 第8-11页 |
| ·Basic Concepts of Integral Equation | 第8-9页 |
| ·Related Theorems about Numerical Quadrature | 第9-11页 |
| ·Introduction of Iterative Methods for Linear Systems | 第11-13页 |
| ·Recent Development of Fast Algorithms | 第13-15页 |
| CHAPTER 2 A Fast Numerical Solution Method for Two Dimensional Fredholm Integral Equation of the Second Kind | 第15-32页 |
| ·Interpolation of Multi-variable Functions | 第16-22页 |
| ·Interpolation | 第16-18页 |
| ·Error Estimation | 第18-22页 |
| ·Fast Algorithms for Integral Equations | 第22-27页 |
| ·The Construction of Approximation Matrix | 第23-26页 |
| ·Implementation and Complexity Analysis | 第26-27页 |
| ·Numerical Examples | 第27-30页 |
| ·Concluding Remarks | 第30-32页 |
| REFERENCES | 第32-34页 |
| ACKNOWLEDGEMENTS | 第34页 |
