搜索
报告题目：Adaptive time-stepping Hermite spectral scheme for nonlinear Schrodinger equation with wave operator: Conservation of mass, energy, and momentum
报 告 人：郭士民 西安交通大学
报告摘要：In this talk, we shall construct the finite difference/spectral method for the nonlinear Schrodinger equation with wave operator (NLSW) on d-dimensional infinite domains to conserve three kinds of the most important invariants, namely, the mass, the energy, and the momentum. Regarding the mass- and momentum-conservation laws as d+1 globally physical constraints, we elaborately combine the exponential scalar auxiliary variable (ESAV) approach and Lagrange multiplier approach to construct the ESAV/Lagrange multiplier reformulation of the NLSW equation to preserve its energy conservation law. When solving the ESAV/Lagrange multiplier reformulation, we employ the Hermite-Galerkin spectral method for the spatial approximation and apply the adaptive time-stepping Crank-Nicolson scheme for the temporal discretization.
报告人简介：郭士民，西安交通大学教授、博士生导师，主要研究方向为高精度数值算法、计算等离子体物理；在SIAM Journal on Scientific Computing、Journal of Computational Physics等期刊上发表多篇学术论文，主持国家自然科学基金面上项目、国家重点研发计划子课题等多项科研项目；博士学位论文入选“2016年度陕西省优秀博士学位论文”，荣获2019年度陕西省自然科学奖二等奖。
报告时间：2024年5月18日 9:00-11:30
报告地点：文渊楼 B536
主办单位：数学与统计学院
学院宣传片
