$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\tp}{\thinspace .}
$$
Demonstrating nose (ideas)
Aim: test function solver
for \( u'=-au \), \( u(0)=I \).
We design three unit tests:
- A comparison between the computed \( u^n \) values and the
exact discrete solution
- A comparison between the computed \( u^n \) values and precomputed
verified reference values
- A comparison between observed and expected convergence rates
These tests follow very closely the previous verify*
functions.