The Analysis of Lagrange Interpolation for Functions with a Boundary Layer Component

DOI10.1007/978-3-319-20239-6_48zbMath1359.65122OpenAlexW2293405637MaRDI QIDQ2942240

A. I. Zadorin

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_48

zbMATH Keywords

Lagrange interpolationboundary layerShishkin meshfunctionnonpolynomial interpolation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

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• Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
• Fitted Numerical Methods For Singular Perturbation Problems
• Spline interpolation on a uniform grid for functions with a boundary-layer component
• The necessity of Shishkin decompositions

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