报告人：杨畅博士 （哈尔滨工业大学）

时间：2017年6月26日(周一) 9:00-10:00

地点：数学学院504

报告题目: A hybrid finite volume method for advection equations and its applications in population dynamics

报告摘要:We present in this talk a very adapted finite volume numerical scheme for transport type-equation. The scheme is an hybrid one combining ananti-dissipative method with down-winding approach for the flux and an high accurate method as the WENO5 one. The main goal is to construct a scheme able to capture in exact way the numerical solution of transport type-equation without artifact like numerical diffusion or without ``stairs like oscillations and this for any regular or discontinuous initial distribution.This kind of numerical hybrid scheme is very suitable when properties on the long term asymptotic behavior of the solution are of central importance in the modeling what is often the case in context of population dynamics where the final distribution of the considered population and its mass preservation relation are required for prediction.