Article
MSC:
34E15,
35B25,
35K57,
41A46,
65L10,
65L20,
65N15 | MR 1981538 | Zbl 1005.41009 | DOI: 10.21136/MB.2002.134155
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Keywords:
$N$-width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion
$N$-width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion
Summary:
Kolmogorov $N$-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the $N$-widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
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