The Lax-Wendroff scheme applied to the 1D scalar advection equation is un+1 = us 9 ( uj-1) + (1+1 2u + uj-1) where up is the numerical solution of u(x, t) at the jh grid point and nth time step. We consider a uniform time step of At and uniform grid spacing Ax. 1. Derive the stability limits (in terms of the courant number o) using the Von Neumann stability analysis. (20 pts) The Lax-Wendroff scheme applied to the 1D scalar advection equation is un+1 = us 9 ( uj-1) + (1+1 2u + uj-1) where up is the numerical solution of u(x, t) at the jh grid point and nth time step. We consider a uniform time step of At and uniform grid spacing Ax. 1. Derive the stability limits (in terms of the courant number o) using the Von Neumann stability analysis. (20 pts)