Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh

DOI10.1016/S0168-9274(02)00212-XzbMath1019.65053OpenAlexW2123695724MaRDI QIDQ1874223

Martin Stynes, Maria Caridad Natividad

Publication date: 22 May 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00212-x

zbMATH Keywords

convergenceconvection-diffusion problemtwo-point boundary value problemboundary layerShishkin meshRichardson's extrapolationupwind scheme

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• On the extrapolation for a singularly perturbed boundary value problem
• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
• The midpoint upwind scheme
• Solution decompositions for linear convection-diffusion problems
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints
• The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh
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