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学术报告:11月13号15:00-16:30,北京计算科学研究中心--Martin Stynes

发布者:吕小俊编辑:www.402.com  发布时间:2019-11-05浏览次数:13

永利皇宫数学机构邀请专家申请表

  

报告人

Martin Stynes

单位

北京计算科学研究中心

Beijing   CSRC

报告题目

Singularities in solutions of   fractional-derivative problems are unavoidable

报告时间

1113日周

1500-1630

地点

永利皇宫数学机构   第一报告厅

邀请人

孙志忠 曹婉容杜睿

报告摘要

By means of simple examples we show that weak   singularities are present in typical solutions of fractional-derivative   problems with Caputo or Riemann-Liouville derivatives. The presence of these   singularities significantly complicates the numerical analysis of these   problems, and affects the rates of convergence attained by numerical methods.   If one removes the singularity by replacing the singular kernel in the   fractional-derivative operator with a smoother kernel (as has been suggested   by some authors), this leads to an unreasonable restriction on the class of   problems that can be studied.

  

报告人简介

obtained his PhD   from Oregon State University, USA, in 1977. He worked most of his career at   University College, Cork, Ireland (the city where he attended high school and   undergraduate university). He has been at Beijing CSRC since 2014, where he   is a Chair Professor under Chinas 1000 Talents   program. He is currently on the editorial boards of the journals Advances in   Computational Mathematics, Applied Numerical Mathematics, and Computational   Methods in Applied Mathematics. For more information see orcid.org, where his   ORCID ID is 0000-0003-2085-7354.