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2026.07.05. 许秀秀,博士,安徽大学,计算数学青年研讨会
发布时间: 2026-07-03 10:48 作者: 点击: 0

报告时间:2026年7月5日 上午10:30-11:30

报告地点:逸夫楼1537

报告人:许秀秀 博士 (安徽大学)  

报告题目:Superconvergence Analysis of Discontinuous Galerkin time stepping for Time Variable Delay Reaction Diffusion Equations

报告摘要:A discontinuous Galerkin (DG) time stepping method is suggested for solving linear reaction diffusion differential equations (RDDEs) with time variable delay. We prove that, under a constrained mesh, the DG solution exhibits local superconvergence of order k ^(2q+1) at the mesh points. By constructing a projection operator, we further demonstrate that the DG solution exhibits k^(q+2) superconvergence rate at Radau II points. The theoretical findings of the developed scheme are validated through a series of numerical results.