Absolute stability region
Stable region in red.

Coefficients

\begin{align} \begin{array}{c|ccccccccc} & & & & & & & & & \\ 0.204 & 0.204 & & & & & & & & \\ 1.010 & 0.096 & 0.914 & & & & & & & \\ 0.194 & 0.096 & 0.056 & 0.041 & & & & & & \\ 0.431 & 0.096 & 0.056 & -0.023 & 0.301 & & & & & \\ 0.353 & 0.096 & 0.056 & -0.023 & 0.036 & 0.188 & & & & \\ 0.990 & 0.096 & 0.056 & -0.023 & 0.036 & 0.132 & 0.693 & & & \\ 0.762 & 0.096 & 0.056 & -0.023 & 0.036 & 0.132 & 0.296 & 0.169 & & \\ 0.851 & 0.096 & 0.056 & -0.023 & 0.036 & 0.132 & 0.296 & 0.050 & 0.207 & \\ \hline & 0.096 & 0.056 & -0.023 & 0.036 & 0.132 & 0.296 & 0.050 & 0.110 & 0.247 \end{array}\end{align}

Properties

  • Order of accuracy: $5$
  • Stage order: $1$
  • Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6} + \frac{z^{4}}{24} + \frac{z^{5}}{120} + 0.00147327636780177 z^{6} + 0.000231205231313762 z^{7} + 3.34957136799547 \cdot 10^{-5} z^{8} + 2.61636886060703 \cdot 10^{-6} z^{9}$$
  • Radius of absolute monotonicity: $0$
  • Principal error norm: 0.00101445668726
  • Imaginary stability interval: 5.73503553256e-07
  • Real stability interval: 6.31332307906
  • Zero-stable: True