Hans-Gorg Roos, Institut f. Numer. Mathematik, TU Dresden, D-01062 Dresden, Germany, e-mail: roos@math.tu-dresden.de; Martin Stynes, Mathematics Department, University College Cork, Ireland, e-mail: stynes@ucc.ie
Abstract: Singularly perturbed problems of convection-diffusion type cannot be solved numerically in a completely satisfactory manner by standard numerical methods. This indicates the need for robust or $\epsilon$-uniform methods. In this paper we derive new conditions for such schemes with special emphasize to parabolic layers.
Keywords: numerical analysis, convection-diffusion problems, boundary layers, uniform convergence
Classification (MSC 1991): 65 N
