SSP 75
From Ruuth-Spiteri paper
Coefficients
\begin{align}
\begin{array}{c|ccccccc}
& & & & & & & \\
0.392 & 0.392 & & & & & & \\
0.834 & 0.310 & 0.524 & & & & & \\
0.363 & 0.115 & 0.248 & & & & & \\
0.857 & 0.136 & 0.163 & & 0.558 & & & \\
0.837 & 0.135 & 0.207 & -0.181 & 0.326 & 0.349 & & \\
0.330 & 0.083 & 0.146 & -0.161 & 0.162 & 0.029 & 0.070 & \\
\hline
& 0.110 & 0.122 & -0.117 & 0.170 & 0.143 & 0.349 & 0.223
\end{array}\end{align}
Properties
- Order of accuracy: $5$
- Stage order: $1$
- Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6} + \frac{z^{4}}{24} + \frac{z^{5}}{120} + 0.00029693917098832 z^{6}$$
- Radius of absolute monotonicity: $0$
- Principal error norm: 0.00270977330321
- Imaginary stability interval: 0
- Real stability interval: 3.44281519354
- Zero-stable: True