$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
More specific contents: finite difference methods
- ODEs
- the wave equation \( u_{tt}=u_{xx} \) in 1D, 2D, 3D
- the diffusion equation \( u_t=u_{xx} \) in 1D, 2D, 3D
- write your own software from scratch
- understand how the methods work and why they fail
