应pc加拿大预测准确率邓伟华教授的邀请,佛罗里达州立大学博士后王冀鲁博士于近期访问我校,期间将作学术报告。
报告题目:Sharp convergence rates of numerical solutions of stochastic partial integro-differential equations
时 间:2017年12月24日 15: 00
地 点:齐云楼911室
报告摘要:
In this work, we consider the convergence rates of numerical methods for solving stochastic partial integro-differential equations in a convex polygon/polyhedron. For this model, both the time-fractional derivative and the stochastic process result in low regularity of the solution. Hence, the numerical approximation of such problems and the corresponding numerical analysis are very challenging.
In our work, the stochastic integro-partial differential equation is discretized by a backward Euler convolution quadrature in time with piecewise continuous linear finite element method in space for which a sharp-order convergence is established in multidimensional spatial domains with nonsmooth initial data. Numerical results are presented to illustrate the theoretical analysis.
个人简介
王冀鲁,2015年在香港城市大学获博士学位;2016年至今在佛罗里达州立大学从事博士后研究工作。她的研究课题主要集中在偏微分方程数值解,具体包括关于分数阶方程、薛定谔方程及多孔介质中不可压混溶驱动模型有限元方法的误差估计,目前已在SIAM J. Numer. Anal.,SIAM J. Sci. Comput.,Numer. Math.,J. Sci. Comput.等国际著名期刊上发表学术论文多篇。
应用数学与复杂系统省级重点实验室
pc加拿大预测准确率
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