Discretization Stability Analysis Keeping time continuous, we carry out a spatial discretization of the rhs of -U at a 0 There is a total of N+l grid points such that x, =jAx j=0,1,2,…,NV SMA-HPC 2002 NUSSMA-HPC ©2002 NUS Stability Analysis Discretization 4 Keeping time continuous, we carry out a spatial discretization of the RHS of There is a total of 1 grid points such that , 0,1, 2,...., N j j x j + = ∆ = x = 0 x = π 0 x 1 x 3 x N 1 x − Nx 2 2 u t υ ∂ ∂ = ∂ ∂ x N u x