Necessary stability condition for explicit finite-difference schemes for hyperbolic PDEs: the numerical domain of dependence must contain the analytic one. For the upwind scheme the Courant number c·Δt/Δx must satisfy |ν| ≤ 1. Von Neumann…
Necessary stability condition for explicit finite-difference schemes for hyperbolic PDEs: the numerical domain of dependence must contain the analytic one. For the upwind scheme the Courant number c·Δt/Δx must satisfy |ν| ≤ 1. Von Neumann…