应l9193永利邓伟华教授邀请,宁波东方理工大学毛志平教授将于2025年12月02日下午作学术报告，欢迎全校师生参加.

报告题目：A novel class of arbitrary high-order numerical schemes for fractional differential equations

时间：2025年12月02日（星期二） 下午3:30

地点：理工楼631

报告摘要：A novel efficient and high accuracy numerical method for the fractional differential equations(FDEs) is proposed in this work. We show the equivalence between FDEs and the extended problem of fractional differential equations(EFDEs) and establish the stability of EFDEs. We apply BDF-$k$ formula for the temporal discretization, while we use the Jacobi spectral collocation method for the discretization of the extended direction. We analyze the stability of the proposed method and give rigorous error estimates with order $O(\Delta t^{k} + M^{-m})$, where $\Delta t$ and $M$ are time step size and number of collocation nodes in extended direction, respectively. Also, we point out that the computational cost and the storage requirement is essentially the same as the integer problems, namely, the computational cost and the storage of the present algorithm are $O(K)$ and $O(1)$, respectively, where $K$ is the total number of time step. We demonstrated the effectiveness of our method by linear and non-linear examples as well as fractional phase-field models.

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报告人简介

毛志平教授2009年本科毕业于重庆大学，2015年博士毕业于厦门大学计算数学专业，国家高层次青年人才，2015年10 月至 2020 年 9 月在美国布朗大学应用数学系从事博士后研究，国家级青年人才计划入选者。毛志平教授主要从事深度学习与偏微分方程数值解，特别是谱方法研究以及深度学习求解复杂系统方面的研究，其目前在SIREV, JCP， SISC， SINUM， CMAME等国际高水平杂志上发表论文 40 余篇。

甘肃应用数学中心

l9193永利

萃英公司

2025年12月1日