Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer

DOI10.1134/S0965542519030047zbMath1416.65053OpenAlexW2947374597MaRDI QIDQ2314215

E. V. Kitaeva, A. I. Zadorin, Igor A. Blatov

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0965542519030047

zbMATH Keywords

error estimateexponential boundary layercubic splineapproximation of derivativesShishkin gridfunction of one variable

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (3)

Unnamed Item ⋮ A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term ⋮ Two-dimensional interpolation of functions by cubic splines in the presence of boundary layers

Cites Work

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• On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer
• 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
• Approximation of derivatives in a convection-diffusion two-point boundary value problem
• The necessity of Shishkin decompositions

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