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• W2047818043 abstract "A singularly perturbed convection-diffusion problem, with a discontinuous convection coefficient and a singular perturbation parameter ε , is examined. Due to the discontinuity an interior layer appears in the solution. A finite difference method is constructed for solving this problem, which generates ε -uniformly convergent numerical approximations to the solution. The method uses a piecewise uniform mesh, which is fitted to the interior layer, and the standard upwind finite difference operator on this mesh. The main theoretical result is the ε -uniform convergence in the global maximum norm of the approximations generated by this finite difference method. Numerical results are presented, which are in agreement with the theoretical results." @default.
• W2047818043 created "2016-06-24" @default.
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• W2047818043 date "2004-12-01" @default.
• W2047818043 modified "2023-10-14" @default.
• W2047818043 title "Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient" @default.
• W2047818043 cites W1970297409 @default.
• W2047818043 doi "https://doi.org/10.1016/j.mcm.2005.01.025" @default.
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