12月28日 上海师范大学田红炯教授学术报告

发布时间:2019-12-26  

报 告 人: 田红炯 教授(上海师范大学)

报告题目:Asymptotic-numerical solvers for highly oscillatory second-order differential equations

报告时间:2019年12月28日(周六)上午9:00

报告地点:静远楼204报告厅

报告摘要:

In this talk, we propose an approach of combination of asymptotic and numerical techniques to solve highly oscillatory second-order initial value problems. An asymptotic expansion of the solution is derived in inverse of powers of the oscillatory parameter, which develops on two time scales, a slow time $t$ and a fast time $\tau=\omega t$. The truncation with  the first few terms of the expansion results in a very effective method of discretizing the highly oscillatory differential equation  and becomes more accurate when the oscillatory parameter increases. Numerical examples show that our proposed asymptotic-numerical solver is efficient and accurate for highly oscillatory problems.