SSPRK 33
The optimal 3-stage, 3rd order SSP Runge-Kutta method
Coefficients
\begin{align}
\begin{array}{c|ccc}
& & & \\
1 & 1 & & \\
\frac{1}{2} & \frac{1}{4} & \frac{1}{4} & \\
\hline
& \frac{1}{6} & \frac{1}{6} & \frac{2}{3}
\end{array}\end{align}
Properties
- Order of accuracy: $3$
- Stage order: $1$
- Stability function: $$1 + z + \frac{z^{2}}{2} + \frac{z^{3}}{6}$$
- Radius of absolute monotonicity: $1.000$
- Principal error norm: 0.0721687836487
- Imaginary stability interval: 1.73205080757
- Real stability interval: 2.51274532662
- Zero-stable: True