Discontinuous Galerkin method for one- dimensional nonconservative equations

Discontinuous Galerkin method for one-dimensional nonconservative equations In this chapter, the discontinuous Galerkin (DG) method is used to solve one-dimensional problems, which will give the readers a first glance at this method. Through examples, the steps needed for coordinate transformation, numerical integration, and applications of boundary and initial conditions are illustrated. The examples considered include the ordinary differential equation (ODE), pure convection, and pure diffusion in one dimension.