The ε-Uniform Convergence of a Defect-Correction Method on a Shishkin Mesh

DOI10.1002/zamm.200108115153zbMath0986.65070OpenAlexW2128893649MaRDI QIDQ2746177

Anja Fröhner, Hans-Goerg Roos, Torsten Linss

Publication date: 10 October 2001

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200108115153

zbMATH Keywords

stabilityconvergencesingular perturbationnumerical experimentsfinite difference schemesShishkin meshdefect correction methodlinear convection-diffusion problem

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh