Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids

DOI10.1134/S1995423915030040zbMath1349.65060MaRDI QIDQ5741296

A. I. Zadorin

Publication date: 22 July 2016

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical experimentserror estimationLagrange interpolationboundary layerLagrange polynomialNewton-Cotes formulaShishkin gridhigh gradientsone-variable function

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Lagrange interpolation and the Newton-Cotes formulas on a Bakhvalov mesh in the presence of a boundary layer ⋮ Non-polynomial interpolation of functions with large gradients and its application ⋮ Parabolic spline interpolation for functions with large gradient in the boundary layer ⋮ Optimization of nodes of composite quadrature formulas in the presence of a boundary layer ⋮ Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer ⋮ Cubic spline interpolation of functions with high gradients in boundary layers

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