一、题目

A fully discrete θ-method for solving semi-linear reaction-diffusion equations with time-variable delay

二、主讲人

张诚坚

三、摘要

In this talk, a fully discrete θ-method（0 ≤ θ ≤ 1）is suggested to solve the initial-boundary value problem of semi-linear reaction-diffusion equations with time-variable delay. Under some appropriate conditions, a novel global stability criterion of the method is derived and it is shown that this method has the computational accuracy O(τ^2 + h^2) (resp. O(τ+ h^2)) when θ = 1/2 (resp. θ ≠ 1/2), where h and τ denote spatial and temporal step sizes, respectively. With some numerical experiments, the theoretical accuracy and global stability of the method are further illustrated.

四、主讲人介绍

张诚坚，华中科技大学二级教授，博士生导师，现兼任湖北省工程建模与科学计算重点实验室主任及Mathematics and Computers in Simulation等国际学术期刊编委，主要从事刚性时滯微分方程数值解及其算法理论研究，主持过多项国家级项目。在SIAM J. Sci. Comput.等国内外学术期刊发表SCI收录论文100余篇，并获得多项省部级科研教学奖励。

五、邀请人

赵卫东 数学学院教授

六、时间

12月10日（周五）9:30-11:30

七、地点

腾讯会议，ID：551-862-547，会议密码：112211

八、主办方

山东大学数学学院