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.