报告人：A. S. Hendy（乌拉尔联邦大学）

报告题目：A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation

报告摘要：A numerical formulation with second-order accuracy in the time direction and spectral accuracy in the space variable is proposed for solving a nonlinear high-dimensional Rosenau-Burgers equation. We show how the spectral element method and the two-grid idea can be used together. The two-grid idea is combined with the spectral element method for simulating the nonlinear high-dimensional Rosenau-Burgers' equation. The proposed technique is based on the three-level algorithm. The existence and uniqueness of the solutions to Steps 1, 2, and 3 are investigated and also the error analysis is discussed.

报告时间：2024年11月13日（星期三）10:00-12:00

报告地点：科技楼南706会议室

邀请人：李东方

报告人简介：A. S. Hendy，俄罗斯乌拉尔联邦大学研究员，主要从事非局部微分方程、抛物方程和反问题方面的高效数值算法和理论的研究。他目前担任Math.Comput.Simu.等杂志的编委，在计算数学知名期刊发表论文90余篇。