應(yīng)yl7703永利官網(wǎng)鄧偉華教授的邀請，佛羅里達(dá)州立大學(xué)博士后王冀魯博士于近期訪問我校，期間將作學(xué)術(shù)報告。
報告題目：Sharp convergence rates of numerical solutions of stochastic partial integro-differential equations
時 間：2017年12月24日 15: 00
地 點(diǎn)：齊云樓911室
報告摘要：
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.
個人簡介
王冀魯，2015年在香港城市大學(xué)獲博士學(xué)位；2016年至今在佛羅里達(dá)州立大學(xué)從事博士后研究工作。她的研究課題主要集中在偏微分方程數(shù)值解，具體包括關(guān)于分?jǐn)?shù)階方程、薛定諤方程及多孔介質(zhì)中不可壓混溶驅(qū)動模型有限元方法的誤差估計，目前已在SIAM J. Numer. Anal.，SIAM J. Sci. Comput.，Numer. Math.，J. Sci. Comput.等國際著名期刊上發(fā)表學(xué)術(shù)論文多篇。
應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點(diǎn)實(shí)驗(yàn)室
yl7703永利官網(wǎng)
二〇一七年十二月二十四日
