Investigating Stability for Implicit-Explicit Discontinuous Galerkin Methods (IMEX-DG) on the Linear Convection-Dispersion Equation

Speaker: Joseph Hunter (OSU)
Dates: 2022/10/20
Abstract: In this talk we will introduce the Local Discontinuous Galerkin for a linear convection-dispersion PDE. The stability of this method when paired with an Implicit-Explicit Runge-Kutta time-stepping method will be investigated using the Fourier method. Our aim is to numerically classify different IMEX methods as “good” or “bad” based on whether or not we can increase our time-step restriction as we refine the spatial mesh size. A closer look will be taken at the different IMEX methods to see if there is some underlying properties which make a method “good” or “bad”, and how we can estimate this time-step restriction as we send the mesh size to zero.