报告人：冉茂华（四川师范大学）

邀请人：张诚坚

报告时间：2023年8月20日（星期日）8:30-10:30

报告地点：科技楼南楼813室

报告题目：Structure-preserving methods for the nonlinear fractional Schrödinger wave equations

报告摘要：In this talk，we first study the Hamiltonian structure of the nonlinear fractional Schrödinger wave equations. A fully-discrete numerical scheme that preserve exactly the original energy and mass is then proposed by applying the partitioned averaged vector field plus method to the resulting Hamiltonian system. Based on the scalar auxiliary variable approach and the explicit relaxation Runge-Kutta methods，a novel category of explicit conservative numerical methods with arbitrarily high-order is also introduced. Several numerical experiments are given to support our theoretical results.

报告人简介：冉茂华，博士，四川师范大学数学科学学院副教授、博士生导师, 中国系统仿真学会仿真算法专业委员会委员，曾任中国数学会计算数学分会理事。主要从事偏微分方程数值解研究, 特别在分数阶微分方程有限差分法方面做出过有一定特色的研究工作，主持过国家自然科学基金项目及四川省科技厅应用基础研究项目各1项，在 《Commun. Nonlinear Sci. Numer. Simul.》、《Appl.Numer. Math.》、《Appl. Math. Model.》等计算与应用数学刊物上发表科研论文20余篇.