Lobatto IIIA2

Absolute stability region — Stable region in red.

Coefficients

\begin{align} \begin{array}{c|cc} & & \\ 1 & \frac{1}{2} & \frac{1}{2}\\ \hline & \frac{1}{2} & \frac{1}{2} \end{array}\end{align}

Properties

Order of accuracy: $2$
Stage order: $2$
Stability function: $$\frac{1 + \frac{z}{2}}{1 - \frac{z}{2}}$$
Radius of absolute monotonicity: $2.000$
Principal error norm: 0.117851130198
Zero-stable: True