Stability of a finite-difference discretization of a singular perturbation problem

DOI10.1016/j.laa.2011.03.045zbMath1232.65112OpenAlexW2004606498MaRDI QIDQ651205

Relja Vulanović

Publication date: 8 December 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.045

zbMATH Keywords

stabilitysingular perturbationconvection-diffusion problemtwo-point boundary value problemfinite-difference scheme

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems ⋮ Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning ⋮ A novel decomposition as a fast finite difference method for second derivatives

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