郑祥成博士学术报告

报告题目：An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations

报告人:  郑祥成 博士 （美国南卡罗来纳大学）

报告时间: 2019年5月24日（周五）下午4:00

报告地点: 数学院大会议室341

内容摘要：

A Crank-Nicolson finite volume approximation for the nonlinear distributed-order space-fractional diffusion equations in three space dimensions is developed, and a resulting nonlinear algebra system with Kronecker-product type coefficient matrix is formulated. The stability and convergence of the scheme are analyzed. At each time step, the Newton's iterative method is employed as a nonlinear solver to handle the resulting nonlinear algebra system. Moreover, during each Newton's iteration, an efficient biconjugate gradient stabilized method (BiCGSTAB) is developed by using the Toeplitz sub-structure of the coefficient matrices. Numerical experiments are presented to verify the theoretical results.

报告人简介:

郑祥成，美国南卡罗来纳大学数学系博士，师从美国南卡罗来纳大学终身教授、教育部长江学者讲座教授、山东省泰山学者海外特聘教授王宏。本科毕业于中国石油大学（华东）理科实验班并获石油工程专业学士学位。主要研究方向是分数阶微分方程的理论与数值分析、多孔介质渗流力学的数值模拟等，近两年已发表和完成SCI论文18篇。