seminar

In this talk, we briefly review some recent development in superconvergence of  three types of DG methods for time-dependent partial differential equations, including the standard discontinuous Galerkin (DG) method, the local discontinuous Galerkin (LDG) method and the direct discontinuous Galerkin (DDG) method.

A survey of our own works on superconvergence results for various time-dependent partial differential equations is presented, and superconvergence phenomena of aforementioned three types of DG solutions at some special  points (including the function value and derivative value approximation), as well as the cell average error and supercloseness results, are all discussed.