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理学院迎百年校庆系列报告(十一):The LDG methods for typical time-fractional partial differential equations
[ 作者:姜薇 来源:理学院 浏览:10 录入时间:2019年08月12日 ]

报告时间:2019815 15:00-16:00

报告地点:H203

报告摘要:In this talk, we present the local discontinuous Galerkin(LDG) finite element methods for typical time-fractional partial differential equations (TFPDEs): reaction-diffusion equation, reaction-diffusion-wave equation, and cable equation, where the time fractional derivative is in the sense of Caputo. The existence, uniqueness, and regularity of solutions of the above equations are studied. The stability, convergence, and error estimates of the derived DG schemes are displayed. And the numerical examples are also included which support the theoretical analysis.

 

报告人简介:李常品

    现任上海大学理学院教授、博士生导师,其主要研究方向为分数阶偏微分方程数值解等。在World Scientific编辑专著一部,在Chapman and Hall/CRC出版专著一部。他现任Applied Numerical MathematicsJournal of Nonlinear Science等杂志编委,任德国德古意特系列丛书“应用科学和工程中的分数阶微积分”主编(Editor-in-chief and founding editor of the book series: Fractional Calculus in Applied Sciences and Engineering, De Gruyter, Germany), 两次获上海市自然科学奖(20102017)上海市优秀博士学位论文指导教师(2016)获分数阶微积分领域的黎曼-刘维尔理论文章奖(2012)获宝钢优秀教师奖(2011)


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