ABSTRACT
Equation (11.108) represents an ellipse in the complex plane with center at (1 - c2 + 10) and axes c and c2 . For stability, IA± I ::::: I. This is guaranteed if the convection number c = a /).t!th::::: I. The Lax-Wendroff one-step approximation of the wave equation is consistent and conditionally stable. Consequently, by the Lax equivalence theorem, it is a consistent approximation of that equation.
