报告人: 王斌 教授(曲阜师范大学)

报告题目：Long-term analysis of symmetric and/or symplectic extended RKN integrators

报告摘要：The primary objective of this talk is to present a long-term numerical energy-preserving analysis of one-stage explicit symmetric and/or symplectic extended Runge–Kutta–Nystr¨om (ERKN) integrators for highly oscillatory Hamiltonian systems. We study the long-time numerical energy conservation not only for symmetric integrators but also for symplectic integrators.It turns out that these both kinds of ERKN integrators have a near conservation of the total and oscillatory energy over a long term. Moreover, this talk also analyses the long-time behaviour of ERKN integrators when applied to nonlinear wave equations. It is shown that energy, momentum, and all harmonic actions are approximately preserved over a long time for one-stage explicit symplectic or symmetric ERKN integrators when applied to nonlinear wave equations via spectral semi-discretisations.

报告人简介: 王斌，曲阜师范大学教授，工作以来主持了多个国家和省部级基金项目，在计算数学主流期刊发表学术论文20余篇。

报告时间: 2019年5月31日（星期五）上午10:10

报告地点: 科技楼南楼702室