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
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Euler case (τ = 0): First order (left), Second order (center), Third order (right) at t=4<br />
with N = 64 (bottom) and N = 128 (top) <strong>for</strong> ε = 10 −6 .<br />
h = 1/128<br />
h = 1/64<br />
6<br />
6<br />
5<br />
5<br />
4<br />
4<br />
3<br />
3<br />
2<br />
2<br />
1<br />
1<br />
0 1 2 3 4 5 6<br />
0<br />
0 1 2 3 4 5 6<br />
0<br />
h = 1/128<br />
h = 1/64<br />
6<br />
6<br />
5<br />
5<br />
4<br />
4<br />
3<br />
3<br />
2<br />
2<br />
1<br />
1<br />
0 1 2 3 4 5 6<br />
0<br />
0 1 2 3 4 5 6<br />
0<br />
h = 1/128<br />
h = 1/64<br />
6<br />
6<br />
5<br />
5<br />
4<br />
4<br />
3<br />
3<br />
2<br />
2<br />
1<br />
1<br />
0 1 2 3 4 5 6<br />
0<br />
0 1 2 3 4 5 6<br />
0<br />
33