报告题目：Numerical Methods for the Stochastic Allen-Cahn Equation (and the Stochastic Mean Curvature Flow)

主 讲 人：凤 小 兵

单 位：美国田纳西大学

时 间：7月23日9:00

ZOOM ID：942 8280 6864

密 码：123456

摘 要：

In this talk I shall present some recent developments on finite element approximations of the stochastic Allen-Cahn equation with gradient-type multiplicative noises and its sharp interface limit, the stochastic mean curvature flow (SMCF). The focuses of the talk will be on discussing the new difficulties arising from numerical analysis of this nonlinear stochastic PDE and on illustrating the analytical techniques for overcoming these difficulties. Numerical results obtained by fast Monte Carlo finite element solvers will also be presented.

简 介：

凤小兵，美国田纳西大学数学终身教授，曾任数学系副系主任，数学系研究生学部主任。1983年和1985年分别获西安交大计算数学学士和硕士学位，1992年获美国普度大学（Purdue University）应用和计算数学博学位。凤小兵教授长期从事线性，特别是非线性确定和随机偏微分方程及其数值解法与算法的研究，并取得了一系列国际领先的成果。在SIAM Review, SIAM J. Numerical Analysis, Mathematics of Computation,Numerische Mathematik, SIAM J. Mathematical Analysis, Transaction of AMS, Calculus of Variation and PDEs等国际一流专业学术期刊上发表论100余篇。