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Table 3 Parameter choices for the implicit 2nd-order IMEX-RK component

From: Model order reduction for gas and energy networks

Parameter

Property

Source

λ = 0.24

“Efficient”

[82]

\(\lambda \geq \frac{1}{4}\)

A-stable

[76]

\(\lambda = \frac{2 - \sqrt{2}}{2} = 1 - \frac{1}{\sqrt{2}}\)

L-Stable

[109]

\(\lambda = \frac{1}{2}\)

Stiffly accurate

morgen, cf. [76, Sect. 5.1]

\(\lambda = \frac{3 + \sqrt{3}}{6} = \frac{1}{2} + \frac{1}{\sqrt{12}}\)

Passive

[101], cf. [13, Sect. 3.2.2]