Displaying similar documents to “Uniformly Convergent Difference Schemes for Singularly Perturbed Parabolic Diffusion-Convection Problems Without Turning Points.”

Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers

Hans-Görg Roos, Martin Stynes (1996)

Applications of Mathematics

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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 ϵ -uniform methods. In this paper we derive new conditions for such schemes with special emphasize to parabolic layers.