报告题目:Improved Error Estimates of the Splitting Methods for the Long Time Dynamics for the Weakly Nonlinear Schrödinger Equations
报告时间:2023-3-30 10:00 - 11:00
报告人:蔡勇勇 教授 北京师范大学
报告地点:理学院东北楼三楼会议室
Abstract: We establish improved uniform error
bounds for the time-splitting methods for the long-time dynamics of the
nonlinear Schrӧdinger
equation (NLSE) with
weak nonlinearity. By
a new technique of regularity compensation oscillation (RCO) in which the high
frequency modes are controlled by regularity and the low frequency modes are
analyzed by phase cancellation, an improved uniform error bound is established. Numerical results are reported to validate
our error estimates and to demonstrate that they are sharp.