Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
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Examples of IMEX <strong>schemes</strong><br />
Notation: SCHEME(s, σ, p)<br />
s implicit stages, σ explicit stages, p order. <strong>Explicit</strong> tableu (left), <strong>Implicit</strong> tableu (right).<br />
SP(1,1,1)<br />
Midpoint(1,2,2)<br />
Jin(2,2,2)<br />
0 0<br />
1<br />
0 0 0<br />
1/2 1/2 0<br />
0 1<br />
0 0 0<br />
1 1 0<br />
1/2 1/2<br />
,<br />
,<br />
1 1<br />
1<br />
0 0 0<br />
1/2 0 1/2<br />
0 1<br />
−1 −1 0<br />
2 1 1<br />
1/2 1/2<br />
,<br />
10