Geodesic
Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers
Applications of Mathematics, Tome 41 (1996) no. 4, pp. 269-280.

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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 $\epsilon $-uniform methods. In this paper we derive new conditions for such schemes with special emphasize to parabolic layers.
DOI : 10.21136/AM.1996.134326
Classification : 65N06, 65N12
Keywords: numerical analysis; convection-diffusion problems; boundary layers; uniform convergence 
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     title = {Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers},
     journal = {Applications of Mathematics},
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Roos, Hans-Görg; Stynes, Martin. Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers. Applications of Mathematics, Tome 41 (1996) no. 4, pp. 269-280. doi : 10.21136/AM.1996.134326. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134326/

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