Long-time error growth in Strang splitting method for the nonlinear Schrödinger equation

活动时间:2026-10-25 10:30

活动地点:2号学院楼2432

主讲人:吴奕飞

主讲人简介:

吴奕飞,南京师范大学数学科学学院院长,教授,博士生导师,国家级领军人才。主要从事偏微分方程理论及数值分析,调和分析等方向的交叉研究工作,在非线性Schrodinger方程,KdV方程等整体适定性和低正则算法构造方面做出一系列研究成果,在JEMS, Mem.AMS,Found.Comput.Math.,CMP,Adv.Math., Anal.PDE,Numer.Math,Math.Comp, SINUM等期刊发表论文多篇。

内容摘要:

Strang splitting is a classical second-order method for nonlinear Schrödinger equations. Its convergence order, however, does not describe how the error grows with time. Standard Gronwall arguments typically yield exponential upper bounds, whereas numerical experiments exhibit linear, quadratic, and exponential growth. This talk investigates the mechanisms behind these different behaviors for the periodic cubic nonlinear Schrödinger equation.

主持人:孙春友