SSP 85

Absolute stability region — Stable region in red.

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