报告主题：典型时间分数阶偏微分方程的LDG方法
报告人： 李常品 教授 （上海大学理学院数学系）
报告时间：2019年5月16日（周四） 12：00
报告地点：校本部G507
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.
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