Absolute stability region
Stable region in red.

Coefficients

\begin{align} \begin{array}{c|cccccccc} & & & & & & & & \\ 0.039 & 0.039 & & & & & & & \\ 0.149 & -0.136 & 0.285 & & & & & & \\ 0.344 & 0.111 & -0.222 & 0.455 & & & & & \\ 0.361 & 0.111 & & 0.106 & 0.144 & & & & \\ 0.784 & 0.111 & & & -3.689 & 4.362 & & & \\ 0.845 & 0.111 & & & & 0.516 & 0.218 & & \\ 0.345 & 0.111 & & & & 0.322 & -0.287 & 0.199 & \\ \hline & 0.111 & & & & 0.322 & 0.001 & 0.376 & 0.191 \end{array}\end{align}

Properties

  • Order of accuracy: $5$
  • Stage order: $1$
  • Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6} + \frac{z^{4}}{24} + \frac{z^{5}}{120} + 0.0015625 z^{6} + 0.000294117647058824 z^{7} + 2.60802203930174 \cdot 10^{-5} z^{8}$$
  • Radius of absolute monotonicity: $0$
  • Principal error norm: 0.000830604295044
  • Imaginary stability interval: 3.99840112477e-07
  • Real stability interval: 6.0909793814
  • Zero-stable: True