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数苑博雅讲座(76):Long-time error growth in Strang splitting method for the nonlinear Schrodinger equation

来源:
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发布时间:2026-09-22
报告时间:
2026年10月8日(周四)下午15:30-16:30
报告地点:
六号楼 C410
报告人:
吴奕飞
报告人单位:
南京师范大学
邀请人:
唐岚
摘要:
Strang splitting is a classical second-order method for nonlinear Schrodinger equations. Its convergence order, however, doesnot describe how the error grows with time. Standard Gronwallarguments typically yield exponential upper bounds, whereas numerical experiments exhibit linear, quadratic, and exponential growth. This talk investigates the mechanisms behind thesedifferent behaviors for the periodic cubic nonlinear Schrodinger equation.