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(guó)南卡羅來(lái)納大學(xué)
講座時(shí)間：2019年5月24日（周五）下午4:00
講座地點(diǎn)：數(shù)學(xué)院341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(guó)南卡羅來(lái)納大學(xué)數(shù)學(xué)系博士，師從美國(guó)南卡羅來(lái)納大學(xué)終身教授、教育部長(zhǎng)江學(xué)者講座教授、山東省泰山學(xué)者海外特聘教授王宏。本科畢業(yè)于中國(guó)石油大學(xué)（華東）理科實(shí)驗(yàn)班并獲石油工程專業(yè)學(xué)士學(xué)位。主要研究方向是分?jǐn)?shù)階微分方程的理論與數(shù)值分析、多孔介質(zhì)滲流力學(xué)的數(shù)值模擬等，近兩年已發(fā)表和完成SCI論文18篇。
