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.
Numerical test<br />
Prototype of stiff system<br />
u ′ = −v,<br />
v ′ = u + 1<br />
(e(u) − v).<br />
ε<br />
(Note: eigenvalues of the explicit part are ±i)<br />
Convergence plot, obtained by different values of time step h (starting with h = 0.05). ε<br />
ranges from 10 −5 to 1.<br />
L2 norm of the relative error versus ɛ using a log-scale on the x-axis.<br />
Equilibrium data<br />
Non-equilibrium data<br />
u(0) = π/2, v(0) = sin(u(0)) = 1.<br />
u(0) = π/2, v(0) = 1/2.<br />
23
Change language