$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\tp}{\thinspace .}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
Effect of the time step on long simulations
- The numerical solution seems to have right amplitude.
- There is a phase error (reduced by reducing the time step).
- The total phase error seems to grow with time.
