数学科学系

Department of Mathematical Sciences

Fast Iterative Methods for Solving Fractional Diffusion Equations*

报告题目Fast Iterative Methods for Solving Fractional Diffusion Equations*

 

报告人:孙海卫 教授

 

时间:2013425(星期四)16:00-17:00

 

地点:理科楼数学系A304会议室

 

摘要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.

 

联系人:贾仲孝