A robust layer-resolving spline collocation method for a convection-diffusion problem

DOI10.1016/j.amc.2008.11.011zbMath1162.65045OpenAlexW2052006084MaRDI QIDQ1004161

Ljiljana Teofanov, Zorica Uzelac, Katarina Surla

Publication date: 2 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.011

zbMATH Keywords

singular perturbationuniform convergenceconvection-diffusion problemShishkin meshnormalized fluxspline difference schemes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

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• The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem
• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
• The midpoint upwind scheme
• A uniformly accurate spline collocation method for a normalized flux.
• Solution decompositions for linear convection-diffusion problems
• A survey of numerical techniques for solving singularly perturbed ordinary differential equations
• The uniform convergence with respect to a small parameter of A. A. Samarskij's monotone scheme and its modification
• Family of quadratic spline difference schemes for a convection–diffusion problem
• Robust Numerical Methods for Singularly Perturbed Differential Equations