Geodesic
Euler quadrature rule for a function with a boundary layer component on a picewise uniform mesh
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 491-503.

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Euler and Gregory quadrature rules for a function with a boundary layer component are investigated. The integrand corresponds to a solution of a singular perturbed problem. It is proved that Euler and Gregory quadrature rules on a mesh, dence in a boundary layer, have a fourth order of an accuracy uniformly in a boundary layer growth of the integrand. Results of numerical experiments are discussed.
Keywords: function, boundary layer, piecewise uniform mesh, uniform accuracy.
Mots-clés : Euler quadrature formula 
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A. I. Zadorin; N. A. Zadorin. Euler quadrature rule for a function with a boundary layer component on a picewise uniform mesh. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 491-503. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a56/

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