SSPRK(4,2)

Absolute stability region — Stable region in red.

Coefficients

$\begin{align} \begin{array}{c|cccc} & & & & \\ \frac{1}{3} & \frac{1}{3} & & & \\ \frac{2}{3} & \frac{1}{3} & \frac{1}{3} & & \\ 1 & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} & \\ \hline & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \end{array}\end{align}$

Properties

Order of accuracy: $2$
Stage order: $1$
Stability function: $1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{9} + \frac{z^{4}}{108}$
Radius of absolute monotonicity: $3.000$
Principal error norm: 0.062112999375
Imaginary stability interval: 0
Real stability interval: 6.0
Zero-stable: True