Numerical Analysis, Numerical Methods, Stability Test.
consistent if it converges to the true solution as the grid spacing or time step size is decreased. A numerical method is stable if it is consistent and the solution remains bounded as the grid spacing or time step size is decreased. limΔt→0 |u(x, tΔt) − U(x, tΔt)| p=0 where u(x, tΔt) is the