Two-dimensional interpolation of functions by cubic splines in the presence of boundary layers

DOI10.1007/s10958-022-06156-5OpenAlexW4308072661MaRDI QIDQ6188001

A. I. Zadorin

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06156-5

Mathematics Subject Classification ID

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

Cites Work

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• On the parameter-uniform convergence of exponential spline interpolation in the presence of a boundary layer
• Layer-adapted meshes for reaction-convection-diffusion problems
• A practical guide to splines
• Application of cubic splines on Bakhvalov meshes in the case of a boundary layer
• Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
• 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
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Fitted Numerical Methods For Singular Perturbation Problems
• The optimization of methods of solving boundary value problems with a boundary layer
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

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