报告题目：A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and
         Its Application to Kinetic Simulations

报告人：Yingda Cheng，Michigan State University

时  间：2015年12月22日    下午4:00 -- 5:00

地  点：东区管理科研楼  数学科学学院1418室

内容提要：
In this talk, we present a sparse grid DG method solving high-dimensional linear transport equations with variable coefficients. The scheme is based on the DG weak formulation coupled with a sparse grid finite element space. We prove L2 stability and error estimates, showing the superiority of the method in saving computational cost for high-dimensional equations. The scheme is then applied to kinetic transport equations. Conservation properties and other aspect of numerical performance are validated by benchmark test problems.