应304am永利集团官网邀请，兰州大学萃英博士后孙晶博士于2023年6月13日作学术报告。

报告题目：An efficient numerical algorithm for the model describing the competition between super- and sub-diffusions driven by fractional Brownian sheet noise

时间：2023年6月13日（周二）15:00-16:00

地点：理工楼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.

报告人简介

孙晶，兰州大学博士后。研究方向：分数阶及随机分数阶偏微分方程数值解，在SINUM、Numer. Math.、J. Sci. Comput.、BIT、Appl. Numer. Math.等期刊上发表论文多篇。目前主持国家自然科学基金青年基金、中国博士后科学基金面上项目、甘肃省青年科技基金等。

甘肃省高校应用数学与复杂系统省级重点实验室

甘肃应用数学中心

萃英学院

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2023年6月12日