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Grid equidistribution for a system of nonlinear singularly perturbed initial problems
发布时间:2019-09-26 09:40:19 1119

演讲人Speaker:刘利斌 副教授

题目Title:Grid equidistribution for a system of nonlinear singularly perturbed initial problems

时间Date:  2019 年 9 月 27 日      Time:15:30--16:30

地点Venue: A 栋 308 室

内容摘要Abstract:

The numerical solution of a system of nonlinear singularly perturbed initial value problemsis considered. The system is discretized by a backward Euler formula for which the maximum norm a posterior error estimate is constructed. A partly heuristic argument based on this a posteriori error bound leads to several suitable monitor functions, which are used to design an adaptive grid generation algorithm. Numerical results are provided to illustrate the effectiveness of our preferred monitor function. It is also shown from the numerical results that the arc-length monitor function is more suitable to construct an adaptive grid method for some first-order singularly perturbed problems.

 个人简介(About the speaker):

刘利斌,男,2015年博士毕业于华南师范大学基础数学专业,一直从事奇异摄动问题的数值解法和智能计算等方面的研究工作。现为南宁师范大学数学与统计学院副教授,广西第二批“千人骨干”教师,主持完成国家自然科学基金项目3项,发表SCI学术论文20余篇。