SSP 85
From Ruuth-Spiteri paper
Coefficients
\begin{align}
\begin{array}{c|cccccccc}
& & & & & & & & \\
0.276 & 0.276 & & & & & & & \\
0.439 & 0.150 & 0.289 & & & & & & \\
0.370 & 0.057 & 0.110 & 0.203 & & & & & \\
0.946 & 0.169 & 0.326 & 0.451 & & & & & \\
0.900 & 0.062 & 0.119 & 0.199 & 0.521 & -0.001 & & & \\
0.856 & 0.111 & 0.214 & 0.116 & 0.223 & -0.037 & 0.228 & & \\
0.389 & 0.071 & 0.137 & 0.155 & 0.043 & -0.164 & 0.044 & 0.103 & \\
\hline
& 0.107 & 0.149 & 0.105 & 0.125 & -0.068 & 0.128 & 0.298 & 0.156
\end{array}\end{align}
Properties
- Order of accuracy: $5$
- Stage order: $1$
- Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6} + \frac{z^{4}}{24} + \frac{z^{5}}{120} + 0.000952830416273645 z^{6} + 3.084264863398 \cdot 10^{-5} z^{7}$$
- Radius of absolute monotonicity: $0$
- Principal error norm: 0.00139355429361
- Imaginary stability interval: 0
- Real stability interval: 5.62277965693
- Zero-stable: True