Optimal piecewise uniform grids for singularly perturbed equations of a convection-diffusion type

DOI10.1515/RNAM-2001-0205zbMath0981.65140OpenAlexW2315982230MaRDI QIDQ2730701

G. I. Shishkin

Publication date: 6 March 2002

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2001-0205

zbMATH Keywords

convergencesingular perturbationconvection-diffusion equationerror analysiselliptic equationsfinite-difference schemeoptimal piecewise uniform grids

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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