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The LDG methods for typical time-fractional partial differential equations

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系列学术活动之(113)

题    目:


The LDG methods for typical time-fractional partial differential equations


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:

李常品,教授,上海大学

时    间:

201992709:00

地    点:

明义-204


报告人概况:

李常品,获上海大学博士学位后留校任教,历任讲师、副教授、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。2018年入选交叉学科领域“全球高被引科学家”(Clarivate Analytics);在World Scientific编辑专著一部,在Chapman and Hall/CRC出版专著一部。现任Applied Numerical MathematicsFractional Calculus and Applied AnalysisJournal of Nonlinear ScienceMathematics and Computers in Simulations6SCI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引导教师(2016)、分数阶微积分领域的黎曼-刘维尔理论文章奖(2012)、宝钢优秀教师奖(2011)






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