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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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ρ(x,t)<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

ε=1e−004, t=0.1, N=200<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5<br />

x<br />

0.6 0.7 0.8 0.9 1<br />

σ(x,t)<br />

0.07<br />

0.06<br />

0.05<br />

0.04<br />

0.03<br />

0.02<br />

0.01<br />

0<br />

q(x,t)<br />

0.25<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0<br />

−0.05<br />

ε=1e−004, t=0.1, N=200<br />

−0.1<br />

0 0.1 0.2 0.3 0.4 0.5<br />

x<br />

0.6 0.7 0.8 0.9 1<br />

ε=1e−004, t=0.1, N=200<br />

−0.01<br />

0 0.1 0.2 0.3 0.4 0.5<br />

x<br />

0.6 0.7 0.8 0.9 1<br />

p(x,t)<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5<br />

x<br />

0.6 0.7 0.8 0.9 1<br />

u(x,t)<br />

1.8<br />

1.6<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

ε=1e−004, t=0.1, N=200<br />

ε = 10 −4 , λ = 0.1, N = 200 at time t = 0.1.<br />

ε=1e−004, t=0.1, N=200<br />

−0.2<br />

0 0.1 0.2 0.3 0.4 0.5<br />

x<br />

0.6 0.7 0.8 0.9 1<br />

31

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