题 目：Low regularity Fourier integrators for some nonlinear dispersive equations

报告人：吴奕飞 (南京师范大学)

时间：5月23日上午9:50-10:50 

地点：二教2409

摘 要： In recent years, driven by practical considerations in modeling complex physical systems characterized by rough initial data and non-smooth potentials, there has been growing interest in developing numerical methods capable of handling low regularity scenarios. In this talk, some Fourier integrators are proposed for solving the KdV equation and the nonlinear Schrodinger equation, including the rough initial data and non-smooth potentials. The designation of the scheme is based on the exponential-type integration, Splitting methods and the Phase-Space analysis of the nonlinear dynamics.