Implicit Euler
Diagonally implicit Runge-Kutta method
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Stable region in red.
Coefficients
\begin{align} \begin{array}{c|c} 1 & 1\\ \hline & 1 \end{array}\end{align}
Properties
Order of accuracy
: $1$
Stage order
: $1$
Stability function
: $$\frac{1}{1 - z}$$
Radius of absolute monotonicity
: $\infty$
Principal error norm: 0.5
Zero-stable: True