Numerical Methods for Reaction-Diffusion Problems with
            Non-Differentiable Kinetics



   A.K. Aziz, A.B. Stephens, and Manil Suri




     We consider a class of steady-state semilinear reaction-diffusion
problems with non-differentiable kinetics. The analytical properties of
these problems have received considerable attention in the literature.
We take a first step in analyzing their numerical approximation. We present
a finite element method and establish error bounds which are optimal for 
some of the problems. In addition, we also discuss a finite difference
approach. Numerical experiments for one- and two-dimensional problems are
reported.