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.