報告題目：Error estimates of numerical methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
報 告 人：王楚善 博士 新加坡國立大學
報告時間：2023年5月8日 13:30
報告地點：數學樓第二報告廳
校内聯系人：黎文磊 lwlei@jlu.edu.cn
報告摘要： 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.
報告人簡介：王楚善, 本科畢業于伟德线上平台, 現在新加坡國立大學攻讀博士學位, 導師包維柱教授.
