# $N$-widths for singularly perturbed problems

Martin Stynes; R. Bruce Kellogg

Mathematica Bohemica (2002)

- Volume: 127, Issue: 2, page 343-352
- ISSN: 0862-7959

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topStynes, Martin, and Kellogg, R. Bruce. "$N$-widths for singularly perturbed problems." Mathematica Bohemica 127.2 (2002): 343-352. <http://eudml.org/doc/249065>.

@article{Stynes2002,

abstract = {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.},

author = {Stynes, Martin, Kellogg, R. Bruce},

journal = {Mathematica Bohemica},

keywords = {$N$-width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion; -width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion},

language = {eng},

number = {2},

pages = {343-352},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {$N$-widths for singularly perturbed problems},

url = {http://eudml.org/doc/249065},

volume = {127},

year = {2002},

}

TY - JOUR

AU - Stynes, Martin

AU - Kellogg, R. Bruce

TI - $N$-widths for singularly perturbed problems

JO - Mathematica Bohemica

PY - 2002

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 127

IS - 2

SP - 343

EP - 352

AB - 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.

LA - eng

KW - $N$-width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion; -width; singularly perturbed; differential equation; boundary value problem; convection-diffusion; reaction-diffusion

UR - http://eudml.org/doc/249065

ER -

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