  A well-known theorem of Lax and Wendroff states that if the sequence of
approximate solutions to a system of hyperbolic conservation laws generated by
a conservative consistent numerical scheme converges boundedly a.e. as the mesh
parameter goes to zero, then the limit is a weak solution of the system.
Moreover, if the scheme satisfies a discrete entropy inequality as well, the
limit is an entropy solution. The original theorem applies to uniform Cartesian
grids; this article presents a generalization for quasiuniform grids (with
Lipschitz-boundary cells) uniformly continuous inhomogeneous numerical fluxes
and nonlinear inhomogeneous sources. The added generality allows a discussion
of novel applications like local time stepping, grids with moving vertices and
conservative remapping. A counterexample demonstrates that the theorem is not
valid for arbitrary non-quasiuniform grids.
