学术报告信息:
报告题目:Analysis of fully discrete approximations for dissipative systems and its applications
报告摘要:In this talk, we consider time discretization methods for general dissipative systems. We introduce a class of implicit Runge-Kutta methods which satisfy two conditions. Under these two conditions with the dissipative condition, we can obtain the energy boundedness and a priori error estimates. Then we consider a specific dissipative system, with the discontinuous Galerkin discretization in space for the time-dependent nonlocal diffusion problems. It is very convenient to obtain the theoretical results by verifying several conditions. Some numerical experiments are given to validate our analysis.
报告人简介:卢键方博士,(华南师范大学数学应用与交叉研究中心青年英才)。卢键方博士于2010年在中国科学技术大学获得理学学士学位,2016年博士毕业于中国科学技术大学,2016至2018年在北京计算科学研究中心做博士后。随后在华南数学应用与交叉研究中心做青年英才,研究领域为计算流体力学和非局部方程的数值方法。
报告时间地点:2018/11/27(本周星期二),上午10:30-11:30,数学院213。