SSPRK 22
The optimal 2-stage, 2nd order SSP Runge-Kutta method
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Stable region in red.
Coefficients
\begin{align} \begin{array}{c|cc} & & \\ 1 & 1 & \\ \hline & \frac{1}{2} & \frac{1}{2} \end{array}\end{align}
Properties
Order of accuracy
: $2$
Stage order
: $1$
Stability function
: $$1 + z + \frac{z^{2}}{2}$$
Radius of absolute monotonicity
: $1.000$
Principal error norm: 0.186338998125
Imaginary stability interval: 0
Real stability interval: 2.0
Zero-stable: True