报告时间:2021512 1000-1100

报告地点:精正楼306

报告人:高文武教授(安徽大学)

  

报告摘要:: Quasi-interpolation yields an approximation directly without the need to solve any linear system of equations and thus is simple,stable, and time-efficient for implementation. Moreover, some quasi-interpolation schemes even possess some structure-preserving properties. These fair properties make quasi-interpolation been a fundamental tool for function approximation and its applications.  In this talk, I shall provide some recent developments of quasi-interpolation for data mining, including data-driven constructions of quasi-interpolation, optimality and regularization properties of quasi-interpolation, as well as its applications in constructing symplectic schemes for numerical solutions of partial differential equations.

 

报告人介绍:高文武,1981年出生于安徽省霍邱县。2000年考入阜阳师范学院接受数学及应用数学本科教育,2004年考入大连理工大学计算数学专业硕士研究生,2009年考入复旦大学应用数学专业博士研究生,2012-2014年在上海宝钢研究院与复旦大学管理学院联合工作站从事士后工作,2018-2019年在美国科罗拉多矿业大学应用数学与统计学做访问副教授。现为安徽大学经济学院统计学系教授、博士生导师、统计学博士点负责人、应用统计专硕硕士点负责人、“双带头人”教师党支部书记。研究工作主要聚焦在统计学与数据科学领域交叉方向的核心基础算法的构造理论及其应用如概率数值逼近、不确定量化、统计学习、无网格微分方程数值解等。先后获得国家自然科学基金青年项目、面上项目的资助,在SIAM Journal on Numerical Analysis(SINUM),SIAM Journal on Scientific Computing (SISC), Advances in Computational Mathematics, Numerical Algorithms, Applied Mathematical Modelling, Journal of Computational and Applied Mathematics 国际知名期刊上发表多篇学术论文。目前是:Foundations of Computational Mathematics, SIAM Journal on Numerical Analysis(SINUM),SIAM Journal on Scientific Computing (SISC), Advances in Computational Mathematics, Numerical Algorithms, Applied Mathematical Modelling, Journal of Computational and Applied Mathematics 等杂志的匿名审稿人。




邀请人: 马学俊