Analysis and discretization to fractional derivative problems with (hidden memory) variable order
发布人: 曹思圆   发布时间: 2020-10-09   浏览次数: 45

*主讲人:郑祥成(南卡罗来纳大学)

*主持人:朱升峰 副教授            

*时间:2020年10月13日18:00-19:00

*地点:腾讯会议 ID:627 458 739


*讲座内容简介:

We study variable-order fractional derivative problems with and without hidden memory. The well-posedness of the models and the smoothing properties of their solutions are proved, based on which the corresponding fully-discrete finite element methods are analyzed. Numerical experiments are carried out to substantiate the theoretical findings.


*主讲人简介:

  郑祥成,美国南卡罗来纳大学 (USC) 数学系博士研究生,2016年本科毕业于中国石油大学(华东)理科实验班,获石油工程专业学士学位。主要从事(变阶)分数阶偏微分方程的理论与数值分析及相应的反问题、最优控制、快速算法和随机微分方程的研究。现已在SIAM J. Numer. Anal., IMA J. Numer. Anal., Inverse Problems, J. Inverse and Ill-posed problems, Comput. Meth. Appl. Mech. Engrg., Fract. Calc. Appl. Anal., J. Sci. Comput.等发表文章29篇。先后获得国家奖学金,USC数学系杰出研究生奖,George W. Johnson应用数学奖学金等,并获USC SPARC Graduate Research Grant等基金资助。