报告题目：Error estimates of numerical methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity

报 告 人：王楚善 博士 新加坡国立大学

报告时间：2023年5月8日 13:30

报告地点：数学楼第二报告厅

校内联系人：黎文磊  [email protected]

报告摘要： We establish optimal error bounds for time-splitting methods and exponential wave integrators applied to the nonlinear Schrödinger equation (NLSE) with low regularity potential and nonlinearity. In many physical applications, low regularity potential and/or nonlinearity are incorporated into the NLSE, such as square-well potential frequently employed in physics literature, disorder potential examined in the context of Anderson localization, and non-integer power nonlinearity in the Lee-Huang-Yang correction used for modelling and simulating quantum droplets.

报告人简介：王楚善, 本科毕业于禁漫天堂 , 现在新加坡国立大学攻读博士学位, 导师包维柱教授.