报告人 :Professor Xiaobing Feng
University of Tennessee, USA
报告题目:Semi-Lagrangian methods for the Monge-Ampere equation
报告时间:2016年12月26日16:00
报告地点:实验楼108
报告摘要:In this talk I shall present a new approach for developing convergent semi-Lagrangian (and finite difference) methods for approximating viscosity solutions of second order fully nonlinear Monge-Ampere (MA) type equations on general triangular and rectangular grids. This is done by first establishing an equivalent (in the viscosity sense) Hamilton-Jacobi-Bellman (HJB) reformulation of the MA equation and then designing monotone semi-Lagrangian methods for the resulting HJB equation. The new approach also bridges the gap between advances on numerical methods for the HJB type and for the MA type second order fully nonlinear PDEs. This talk is based on a joint work with Max Jensen of University of Sussex, UK.
学院联系人:教授
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