Modification of the Euler quadrature formula for functions with a boundary-layer component

DOI10.1134/S0965542514100078zbMath1333.65026OpenAlexW2086483915MaRDI QIDQ889168

A. I. Zadorin

Publication date: 6 November 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542514100078

zbMATH Keywords

error estimateHermite interpolationdegree of exactnessboundary layer componentEuler quadrature formula

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
• Euler quadrature rule for a function with a boundary layer component on a picewise uniform mesh
• Quadrature Formula with Five Nodes for Functions with a Boundary Layer Component
• Fitted Numerical Methods For Singular Perturbation Problems
• Quadrature formulas for functions with a boundary-layer component
• Spline interpolation on a uniform grid for functions with a boundary-layer component
• An analogue of the four-point Newton-Cotes formula for a function with a boundary-layer component

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