东南大学数学学院邀请专家申请表
报告人 | 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 | 11月13日周 三15：00-16：30 | 地点 | 东南大学数学学院 教工之家 |
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.
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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 China’s “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. | ||
