An analysis of a uniformly accurate spline difference method

DOI10.1080/00207169908804824zbMath0943.65085OpenAlexW2027265222MaRDI QIDQ4261196

Katarina Surla, Zorica Uzelac

Publication date: 21 August 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804824

zbMATH Keywords

convergencesingular perturbationsmall parameteruniform convergencecollocationspline difference schemesEl-Mistikawy schemeWerle scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• Convexity preserving interpolation with exponential splines
• A finite element method for a singularly perturbed boundary value problem
• Higher order methods for a singularly perturbed problem