Geodesic
$N$-widths for singularly perturbed problems
Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 343-352
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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.
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.
DOI : 10.21136/MB.2002.134155
Classification : 34E15, 35B25, 35K57, 41A46, 65L10, 65L20, 65N15
Keywords: $N$-width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion 
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Stynes, Martin; Kellogg, R. Bruce. $N$-widths for singularly perturbed problems. Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 343-352. doi: 10.21136/MB.2002.134155

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