$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
What to learn in the start-up example; standard topics
- How to think when constructing finite difference methods, with special focus
on the Forward Euler, Backward Euler, and Crank-Nicolson (midpoint)
schemes
- How to formulate a computational algorithm and translate it into
Python code
- How to make curve plots of the solutions
- How to compute numerical errors
- How to compute convergence rates
