| Abstract: | We show that the continuum shock profiles for dissipative difference schemes constructed in Part I are nonlinearly stable. It is shown first that the profiles have the conservation property, obtained as the limit of the discrete version for profiles with nearby rational, quasi‐Diophantine speeds. This allows us to formulate antidifferencing of the schemes and to apply a generalization of the pointwise approach for viscous conservation laws for the stability analysis. © 1999 John Wiley & Sons, Inc. |
