Radau IIA2
The RadauIIA method with 2 stages
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Stable region in red.
Coefficients
\begin{align} \begin{array}{c|cc} \frac{1}{3} & \frac{5}{12} & - \frac{1}{12}\\ 1 & \frac{3}{4} & \frac{1}{4}\\ \hline & \frac{3}{4} & \frac{1}{4} \end{array}\end{align}
Properties
Order of accuracy
: $3$
Stage order
: $2$
Stability function
: $$\frac{1 + \frac{z}{3}}{1 - \frac{2 z}{3} + \frac{z^{2}}{6}}$$
Radius of absolute monotonicity
: $0$
Principal error norm: 0.0244976973247
Zero-stable: True