报告人：凤晓兵 教授

工作单位：美国田纳西大学

报告时间：8月17日上午9点

报告地点：学院一楼报告厅

报告摘要：

In this talk I shall present some convergent semi-Lagrangian methods

for approximating the optimal (mass) transportation problem with the quadratic cost density function. The class of methods is developed based on a fully nonlinear PDE formulation of the problem, which requires to solve a fully nonlinear second order Monge-Ampere type equation with an unusual boundary condition (or inclusion constraint condition), and on its Hamilton-Jacobi-Bellman reformulation. The focus of the talk will be on demonstrating how to deal with unusual boundary condition and how to overcome the difficulty caused by the lack of a comparison principle of the underlying PDE problem by a novel compactness argument. The convergence of the proposed semi-Lagrange method will be discussed and numerical experiments will also be presented to show the performance of the proposed method.

报告人简介：

         凤晓兵，是美国田纳西大学（The University of Tennessee）数学系教授，副系主任、研究生部主任，西北工业大学长江讲座教授。1983年在西安交通大学计算数学系获学士学位，1985年在西安交通大学计算数学系获硕士学位，1992年在美国普渡大学(Purdue University)计算和应用数学系获博士学位。

凤晓兵教授是SCI杂志Journal of Computational Mathematics 和International Journal of Computational Science and Mathematics的副主编，29种国际期刊的编委或长期审稿人；主持国际会议10余次；是美国数学会（AMS）和美国工业与应用数学会（SIAM）会员，2005年获得K. C. Wong Education Foundation (Hong Kong) Research Fellowship，多次获得UTK Professional Development 奖。

        凤晓兵教授在计算和应用数学顶级杂志：SIAM J. Numerical Analysis，SIAM J. Math. Anal.，IMA J. Numerical Analysis，Mathematics of Computation， Numerische Mathematik，Journal of Scientific Computing，J. of Engineering Mathematics，Mathematical Models and Methods in Applied Sciences，Calculus Variations and PDEs等杂志上发表论文100余篇，出版专著两部：《Multi-scale Modeling and Simulation in Materials Sciences》和《Recent Advances in Numerical Methods for Partial Differential Equations and Applications》。