Parabolic spline interpolation for functions with large gradient in the boundary layer

DOI10.1134/S0037446617040036zbMath1379.41007OpenAlexW2753101842MaRDI QIDQ1675166

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

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617040036

zbMATH Keywords

convergencesingularly perturbed problemserrors of spline interpolationslarge gradient domainparabolic spline interpolation

Mathematics Subject Classification ID

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

Related Items (3)

Unnamed Item ⋮ Generalized spline interpolation of functions with large gradients in boundary layers ⋮ Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer

Cites Work

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• Interpolation of functions with boundary layer components and its application in a two-grid method
• A necessary condition for convergence of interpolating parabolic and cubic splines
• Convergence of an interpolation process for parabolic and cubic splines
• A practical guide to splines
• Incomplete factorization methods for systems with sparse matrices
• Interpolation by splines of even degree according to Subbotin and Marsden
• Fitted Numerical Methods For Singular Perturbation Problems
• Inverses of Band Matrices and Local Convergence of Spline Projections
• 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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