报告题目：Numerical methods for the biharmonic nonlinear Schrödinger equation and their applications

报告人：张腾 助理教授 （广西大学）

报告时间：2025年11月7日19：00

报告地点：腾讯会议ID：133-934-907

报告摘要：The biharmonic nonlinear Schrödinger equation (BNLS) is a foundational model in nonlinear optics, as the biharmonic operator provides additional stability for soliton solutions, offering a refined description of light propagation in nonlinear media. The high dispersion term from the biharmonic operator imposes numerical burdens that require either large computational domain or high-accuracy method. In this talk, I will discuss several numerical methods for solving the BNLS and present the corresponding error estimates, including finite difference methods and time-splitting sine spectral method. Additionally, numerical examples illustrating the dispersion relation and simulations of soliton collisions will be provided.

报告人简介：张腾，广西大学助理教授，本科毕业于西安交通大学，博士毕业于新加坡国立大学，毕业后在北京计算科学研究中心做博士后，2023年入职广西大学。研究方向为高震荡色散方程的数值解法和应用，目前主持自然科学基金青C项目一项，在国际刊物Journal of Scientific Computing、Applied Numerical Mathematics等发表文章数篇。