研讨班报告

偏微分方程研讨班:Long-time error growth in Strang splitting method for the nonlinear Schrödinger equation

发布时间:2026-10-20

中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

偏微分方程研讨班

Speaker: 吴奕飞 教授(南京师范大学)

Inviter: 邱国寰
Language: Chinese

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

Time & Venue: 2026年10月20日(星期二)10:00-11:00 思源楼S723

Abstract: 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.


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