Outlines:

1. Introduction
   1. General Remarks
   2. Scaling

2. Installation
   1. Building MFEM
   2. Building Euler

3. Theory
   1. The partial differential system of equations
   2. Spatial and temporal discretizations
   3. Numerical method for conservative and non-conservative fluxes
   4. WENO-type limiters

4. Workbench: a GUI for Euler

5. Examples
   1. Linear advection equation
   2. Burgers' equations
   3. Multi-dimensional Euler equations
   4. Shallow water equations
   5. Porous media model

6. Convergence
   1. Advection equation
   2. Burger's equation
   3. Multi-dimensional Euler equations
   4. [Multi-dimensional shallow water equations]
   5. Porous media model