Lagrange interpolation and the Newton-Cotes formulas on a Bakhvalov mesh in the presence of a boundary layer

DOI10.1134/S0965542522030149zbMath1493.65027OpenAlexW4224054674WikidataQ113785832 ScholiaQ113785832MaRDI QIDQ2131355

A. I. Zadorin, Nikita Alexandrovich Zadorin

Publication date: 26 April 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522030149

zbMATH Keywords

Lagrange interpolation polynomialerror estimateBakhvalov meshboundary layerfunction of one variable

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Cites Work

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• Quadrature formulas for functions with a boundary-layer component
• An analogue of the four-point Newton-Cotes formula for a function with a boundary-layer component
• The optimization of methods of solving boundary value problems with a boundary layer
• Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids
• The necessity of Shishkin decompositions

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