講座主題：An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations
主講人：鄭祥成
工作單位：美國南卡羅來納大學
講座時間：2019年5月24日（周五）下午4:00
講座地點：數學院341
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
鄭祥成，美國南卡羅來納大學數學系博士，師從美國南卡羅來納大學終身教授、教育部長江學者講座教授、山東省泰山學者海外特聘教授王宏。本科畢業于中國石油大學（華東）理科實驗班并獲石油工程專業學士學位。主要研究方向是分數階微分方程的理論與數值分析、多孔介質滲流力學的數值模擬等，近兩年已發表和完成SCI論文18篇。
