Discontinuous Galerkin Methods for Convection Dominated PDEs

[TMCSC]

July 30-August 03, 2019

四川大学研究生院一区 104

[minicourse II]舒其望0729-0803-01.jpg

SPEAKER

舒其望(美国布朗大学)

ABSTRACT

In these minicourses, we will give a general introduction to the discontinuous Galerkin (DG) methods for solving time-dependent, convection-dominated partial differential equations (PDEs), including the hyperbolic conservation laws, convection-diffusion equations, and PDEs containing higher-order spatial derivatives such as the KdV equations and other nonlinear dispersive wave equations.We will discuss cell entropy inequalities, nonlinear stability, and error estimates. The important ingredient of the design of DG schemes, namely the adequate choice of numerical fluxes, will be explained in detail. Issues related to the implementation of the DG method will also be addressed.

LECTURE NOTES

TMCSC190730a_Chi-Wang Shu_Discontinuous Galerkin Methods for Convection Dominated PDEs

VIDEOS

  • Discontinuous Galerkin Methods for Convection Dominated PDEs I
  • 09:00 - 10:30, 2019-07-30 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs II
  • 10:40 - 12:00, 2019-07-30 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs III
  • 09:00 - 10:30, 2019-07-31 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs IV
  • 10:40 - 12:00, 2019-07-31 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs V
  • 09:00 - 10:30, 2019-08-01 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs VI
  • 10:40 - 12:00, 2019-08-01 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs VII
  • 09:00 - 10:30, 2019-08-02 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs VIII
  • 10:40 - 12:00, 2019-08-02 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs IX
  • 09:00 - 10:30, 2019-08-03 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)
  • Discontinuous Galerkin Methods for Convection Dominated PDEs X
  • 10:40 - 12:00, 2019-08-03 at 四川大学研究生院一区 104
  • 舒其望(美国布朗大学)

SUPPORTED BY

国家天元数学西南中心

四川大学数学学院