Before revision: We study nonlinear hyperbolic conservation laws with non-convex flux  and, for a broad class of numerical methods based on summation by parts operators, we compute numerically the kinetic functions associated with each scheme.
After revision: We study nonlinear hyperbolic conservation laws with non-convex flux in one space dimension and, for a broad class of numerical methods based on summation by parts operators, we compute numerically the kinetic functions associated with each scheme.