DDAS4()7[2R]
2R Method of Tselios \& Simos (2007)
Coefficients
\begin{align}
\begin{array}{c|ccccccc}
& & & & & & & \\
0.336 & 0.336 & & & & & & \\
0.286 & 0.094 & 0.192 & & & & & \\
0.745 & 0.094 & 0.150 & 0.501 & & & & \\
0.639 & 0.094 & 0.150 & 0.285 & 0.110 & & & \\
0.724 & 0.094 & 0.150 & 0.285 & -0.122 & 0.317 & & \\
0.911 & 0.094 & 0.150 & 0.285 & -0.122 & 0.061 & 0.444 & \\
\hline
& 0.094 & 0.150 & 0.285 & -0.122 & 0.061 & 0.346 & 0.187
\end{array}\end{align}
Properties
- Order of accuracy: $4$
- Stage order: $1$
- Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6} + \frac{z^{4}}{24} + 0.0080898413573674 z^{5} + 0.00114500144821215 z^{6} + 9.33161720160215 \cdot 10^{-5} z^{7}$$
- Radius of absolute monotonicity: $0$
- Principal error norm: 0.00196451762323
- Imaginary stability interval: 0.00409335269826
- Real stability interval: 5.01635719252
- Zero-stable: True