Midpoint Runge-Kutta
Explicit Runge-Kutta method
Coefficients
\begin{align}
\begin{array}{c|cc}
& & \\
\frac{1}{2} & \frac{1}{2} & \\
\hline
& & 1
\end{array}\end{align}
Properties
- Order of accuracy: $2$
- Stage order: $1$
- Stability function: $$1 + z + \frac{z^{2}}{2}$$
- Radius of absolute monotonicity: $0$
- Principal error norm: 0.171796067734
- Imaginary stability interval: 0
- Real stability interval: 2.0
- Zero-stable: True