Fast Iterative Methods for Solving Fractional Diffusion Equations
发布者：系统管理员发布时间：2013-07-23浏览次数：1942
| 报告题目： | Fast Iterative Methods for Solving Fractional Diffusion Equations |
| 报 告 人： | 孙海卫 副教授 |
| | 澳门大学数学系 |
| 报告时间： | 7月25日上午10:30-11:30 |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | The fractional diffusion equation is discretized by the implicit finite difference scheme with the shifted Grunwald formula. The scheme is unconditionally stable and the coefficient matrix possesses the Toeplitz-like structure. Fast iterative methods are proposed to solve the resulting systems. Meanwhile, the fast Toeplitz matrix-vector multiplication is utilized to lower the computational cost with only O(N log N) complexity, where N is the number of grid points. Numerical experiments are given to demonstrate the efficiency of the proposed methods. |
