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Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti

Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti

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ξ h<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

−1<br />

−2<br />

−3<br />

−4<br />

10 −2<br />

−5<br />

10 −1<br />

10 0<br />

10 1<br />

SSP3−332<br />

10 2<br />

μ h<br />

10 3<br />

10 4<br />

10 5<br />

b = 0.1<br />

b = 0.3<br />

b = 0.5<br />

b = 0.7<br />

b = 0.9<br />

10 6<br />

ξ h<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

−1<br />

−2<br />

−3<br />

−4<br />

10 −2<br />

−5<br />

10 −1<br />

10 0<br />

10 1<br />

SSP3−433<br />

Relaxation stability region <strong>for</strong> scheme SSP3-332 and SSP3-433 in the ξh–µh plane.<br />

10 2<br />

μ h<br />

10 3<br />

10 4<br />

10 5<br />

b = 0.1<br />

b = 0.3<br />

b = 0.5<br />

b = 0.7<br />

b = 0.9<br />

10 6

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