研究生教育创新计划高水平学术前沿讲座

报告题目:  Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: Analysis and Simulations

报 告 人: Dr. Jennifer K. Ryan   School of Mathematics, University of East Anglia

报告时间：2013年5月23日 15:30-16:30

报告地点：管理科研楼1518室

摘要:
In this talk we discuss superconvergence extraction for  Volterra
integro-differential equations with smooth and non-smooth kernels.
Specifically, we discuss viable super convergence extraction techniques
via a post-processed  discontinuous Galerkin (DG) method.   Using nodal
interpolation, a global superconvergence error bound (in the
L-infinity-norm) is established. For a non-smooth kernel, a family of
non-uniform time meshes is used to compensate for the singular behaviour
of the exact solution near t=0. The derived theoretical results are
numerically validated in a sample of test problems, demonstrating
higher-than-expected convergence rates.  This is joint work with Kassem
Mustapa.

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