报告题目: Fast Iterative Methods for Solving Fractional Diffusion Equations
报告时间:2014年01月07日下午15:30
报告地点:海韵实验楼108
学院联系人:教授
报告摘要: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. Several 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.
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