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必威、所2019年系列学术活动(第98场):王斌教授 曲阜师范学院

发表于: 2019-06-11   点击: 

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

报 告 人:王斌教授 曲阜师范学院

报告地点:数学楼202

报告时间:2019617日上午10:00—11:00

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–Nystrom (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. Moreoverthis talk also analyses the long-time behaviour of ERKN integrators when applied to nonlinear wave equations. It is shown that energy, momentumand 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,洪堡学者2013年博士毕业于南京大学,201412月起在曲阜师范大学数学科学学院任教,201512月评选为副教授,201812月晋升教授,2017年至2019年在德国图宾根大学从事博士后研究工作。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,多次受邀访问英国剑桥大学、新西兰奥克兰大学、德国图宾根大学、香港理工大学等。