A method of [[Quadrature|Numerical Integration]] for solving [[Differential Equations]].
$\huge z_{i+1} = z_{i} + hf\pa{
t_{i} + \frac{h}{2},
z_{i} + \frac{h}{2}f(t_{i},z_{i})
} $
For a given step $h\in \R$.
$\huge \begin{align}
k_{1} &= f(t_{i},z_{i}) \\
k_{2} &= f\left( t_{i} + \frac{h}{2}, z_{i}+\frac{h}{2}k_{1} \right)
\end{align} $