A fast and memory-saving method for variable-order time-fractional diffusion equations
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：孙海卫教授
：2019-12-03 16:00
：实验楼105
Speaker：Prof. Haiwei Sun
University of Macau
Title: A fast memory-saving method for variable-order time-fractional diffusion equations
Time：03 Dec 2019, 16:00
Location：实验楼105
Abstract: In this talk, a fast memory-saving algorithm is firstly proposed for the variable-order (VO) Caputo fractional derivative based on a shifted binary block partition (SBBP) uniform polynomial approximations. The proposed method can be carried out with the cheaper computational cost less active memory. Then we develop a fast finite difference method, based on the SBBP technique, for solving a class of VO time-fractional diffusion equations. The complexity is of O(rmn log n), while the active storage requirement is of O(rmlog n), where r is the order of the approximated polynomial, n is the number to the time steps, m denotes the size of the spatial grids. Numerical results are given to demonstrate the excellent performance of the proposed method.
Speaker Introduction：
Ph. D. in Department of Mathematics, Chinese University of Hong Kong, Hong Kong (1996)
M. Sc. in Department of Mathematics, Zhongshan (Sun Yat-sen) University, China (1989)
B. Sc. in Department of Mathematics, Zhongshan (Sun Yat-sen) University, China (1983)
· 7/1983 – 9/1986 | TA, Department of Basic Courses, Guangdong University of Technology, Guangzhou, China. |
· 7/1989 – 7/1993 | Lecturer, Department of Basic Courses, Guangdong University of Technology, Guangzhou, China. |
· 8/1996 – 1/2001 | Assistant & Associate Professor, Department of Applied Mathematics, Guangdong University of Technology, Guangzhou, China. |
· 2/2001 – 7/2002 | Postdoctoral Fellow, Laboratory for High Performance Scientific Computing Computer Simulation & Department of Computer Science, University of Kentucky, Kentucky, USA |
· 8/2002 –7/2004 | Postdoctoral Fellow, Department of Chemical Engineering, University of Alabama, Tuscaloosa, Alabama, USA |
· 9/2004 – 8/2011 | Assistant Professor, Department of Mathematics, Faculty of Science Technology, University of Macau, Macao, China. |
· 9/2011 – 8/2017 | Associate Professor, Department of Mathematics, Faculty of Science Technology, University of Macau, Macao, China. |
· 8/2017 -- Now | Professor, Department of Mathematics, Faculty of Science Technology, University of Macau, Macao, China. |
联系人：刘青霞副教授
