主 题: 偏微分方程计算的时间自适应方法。
报告人: 汤涛 教授 （香港浸会大学）
时 间: 2011-03-11 14：00-15：00
地 点: 理科一号楼1114（数学所活动）
Numerical simulations for many physical problems require large time
integration; as a result large time-stepping methods become necessary.
In this talk, we will concentrate on the numerical simulations for the
dynamics of the molecular beam epitaxy (MBE) model whose numerical
simulations require very large time scale. We will first consider
unconditionally energy stable finite difference schemes. By using the
energy stable schemes, we are able to propose some time adaptivity
strategies to resolve both the solution dynamics and the steady state
solutions. We propose to select the time steps based on the behavior of
the energy or the roughness of the solution. Numerical simulation results
will be reported and discussed.