题目：On effective numerical methods for phase-field models报告人: Zhonghua QiaoDepartment of Applied Mathematics,Hong Kong Polytechnic University, Hong Kong 时间： 2018年10月23日 上午 9:30-10:30地点： 二教2606摘要： 
In this talk, we overview our recent works on modern computational methods for the approximate solution of phase-field problems. The main difficulty for developing a numerical method for phase field equations is a severe stability restriction on the time step due to nonlinearity and high order differential terms. It is known that the phase field models satisfy a nonlinear stability relationship called gradient stability, usually expressed as a time-decreasing free-energy functional. This property has been used recently to derive numerical schemes that inherit the gradient stability.
We will discuss implicit-explicit time discretization methods which satisfy the energy stability. A time-adaptive strategy will be presented for solving the phase-field problems. Several numerical results will be given to demonstrate the efficiency and reliability of the proposed numerical methods.