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

Roos, Hans-Görg, and Stynes, Martin. "Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers." Applications of Mathematics 41.4 (1996): 269-280. <http://eudml.org/doc/32950>.

@article{Roos1996,
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.},
author = {Roos, Hans-Görg, Stynes, Martin},
journal = {Applications of Mathematics},
keywords = {numerical analysis; convection-diffusion problems; boundary layers; uniform convergence; numerical analysis; convection-diffusion problems; boundary layers; uniform convergence},
language = {eng},
number = {4},
pages = {269-280},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers},
url = {http://eudml.org/doc/32950},
volume = {41},
year = {1996},
}

TY - JOUR
AU - Roos, Hans-Görg
AU - Stynes, Martin
TI - Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 269
EP - 280
AB - 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.
LA - eng
KW - numerical analysis; convection-diffusion problems; boundary layers; uniform convergence; numerical analysis; convection-diffusion problems; boundary layers; uniform convergence
UR - http://eudml.org/doc/32950
ER -