报 告 人：孙海卫教授
报告题目：Fast Algorithms for Block Triangular Toeplitz Matrix with Applications toTime-Fractional Partial Differential Equations
报告时间：2015年5月15日（周五）下午16:30—17:30
报告地点：静远楼1508学术报告厅
Abstract: A fastapproximate inversion method is proposed for the block lower triangularToeplitz with tri-diagonal blocks (BL3TB) matrix. The BL3TB matrix isapproximated by a block circulant-like matrix, which can be efficientlyinverted using the fast Fourier transforms. The good approximation is provedunder a certain condition. As applications, the discretized matrix by a finitedifference method for the fractional sub-diffusion equation is shown as a BL3TBmatrix and satisfies this condition. Therefore, the proposed method can beefficiently applied to find the numerical solution of the fractionalsub-diffusion equation. For the block lower triangular Toeplitz-like withtri-diagonal blocks (BL3TB-like) matrix, we propose a direct method based onthe divided-and-conquer strategy with cheaper computational complexity.Numerical experiments are carried out to demonstrate the excellence performanceof the proposed methods.
孙海卫教授个人简介：
孙海卫，澳门大学数学系副教授，博士生导师。1996年获得香港中文大学博士学位，2001年-2004年先后在美国Universityof Kentucky和University of Alabama从事博士后访问研究。主要研究领域为数值线性代数，微分方程数值解，控制论和计算金融等。先后主持和参与了多项国家自然科学基金项目、澳门科技发展基金项目和澳门大学基金项目，在SIAM J. Sci. Comput., J. Comput. Phys. 等国际著名期刊上发表学术论文40余篇。