Spline interpolation on a uniform grid for functions with a boundary-layer component

DOI10.1134/S0965542510020028zbMath1224.65025MaRDI QIDQ2995813

A. I. Zadorin, Nikita Alexandrovich Zadorin

Publication date: 4 May 2011

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

zbMATH Keywords

numerical resultssingular perturbationerror estimationspline interpolationboundary value problemboundary layer

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component ⋮ Cubature formulas for a two-variable function with boundary-layer components ⋮ The Analysis of Lagrange Interpolation for Functions with a Boundary Layer Component ⋮ Modification of the Euler quadrature formula for functions with a boundary-layer component ⋮ Analysis of numerical differential formulas on a Bakhvalov mesh in the presence of a boundary layer ⋮ A two-grid method for elliptic problem with boundary layers

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