Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids

zbMath0977.65064MaRDI QIDQ5933017

Natalia Kopteva

Publication date: 5 July 2001

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergencesingular perturbationboundary layerdifference methodBakhvalov gridcentral differencediffusion-convection equationShishkin grids

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) Error bounds for numerical methods for ordinary differential equations (65L70) 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)

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