Part I. Discontinuous Galerkin and Mixed Finite Element Methods. 1. Discontinuous Galerkin Methods. 2. Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations. 3. On the Numerical Solution of the Elliptic Monge--Amp?re Equation in Dimension Two: A Least-Squares Approach. Part II. Linear and Nonlinear Hyperbolic Problems. 1. Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions. 2. Comparison of...