應(yīng)yl7703永利官網(wǎng)邀請，蘭州大學(xué)萃英博士后孫晶博士于2023年6月13日作學(xué)術(shù)報(bào)告。

報(bào)告題目：An efficient numerical algorithm for the model describing the competition between super- and sub-diffusions driven by fractional Brownian sheet noise

時(shí)間：2023年6月13日（周二）15:00-16:00

地點(diǎn)：理工樓631

摘要：Super- and sub-diffusions are two typical types of anomalous diffusions in the natural world. In this work, we discuss the numerical scheme for the model describing the competition between super- and sub-diffusions driven by fractional Brownian sheet noise. Based on the obtained regulization result of the solution by using the properties of Mittag--Leffler function and the regularized noise by Wong--Zakai approximation, we make full use of the regularity of the solution operators to achieve optimal convergence of the regularized solution. The spectral Galerkin method and the Mittag--Leffler Euler integrator are respectively used to deal with the space and time operators. In particular, by contour integral, the fast evaluation of the Mittag--Leffler Euler integrator is realized. We provide complete error analyses, which are verified by the numerical experiments.

報(bào)告人簡介

孫晶，蘭州大學(xué)博士后。研究方向：分?jǐn)?shù)階及隨機(jī)分?jǐn)?shù)階偏微分方程數(shù)值解，在SINUM、Numer. Math.、J. Sci. Comput.、BIT、Appl. Numer. Math.等期刊上發(fā)表論文多篇。目前主持國家自然科學(xué)基金青年基金、中國博士后科學(xué)基金面上項(xiàng)目、甘肅省青年科技基金等。

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點(diǎn)實(shí)驗(yàn)室

甘肅應(yīng)用數(shù)學(xué)中心

萃英學(xué)院

yl7703永利官網(wǎng)

2023年6月12日