Lobatto IIIC2
The LobattoIIIC method with 2 stages
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Stable region in red.
Coefficients
\begin{align} \begin{array}{c|cc} & \frac{1}{2} & - \frac{1}{2}\\ 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
: $1$
Stability function
: $$\frac{1}{1 - z + \frac{z^{2}}{2}}$$
Radius of absolute monotonicity
: $0$
Principal error norm: 0.186338998125
Zero-stable: True