Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning
type: Item
instance of: scholarly article
title: Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning
zbMATH Open document ID: 1444.65041
author: Thái Anh Nhan
author: Martin Stynes
author: Relja Vulanović
published in: Journal of Computational and Applied Mathematics
publication date: 2018-04-16T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 6860313
zbMATH Keywords: singular perturbation
zbMATH Keywords: convection-diffusion
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: finite differences
zbMATH Keywords: uniform convergence
zbMATH Keywords: preconditioning
MaRDI profile type: Publication
full work available at URL: j.cam.2018.02.012
OpenAlex ID: W2790683262
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
cites work: Q3337790
cites work: Nonlinear singular perturbation phenomena: theory and applications
cites work: Q4485828
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Layer-adapted meshes for reaction-convection-diffusion problems
cites work: Q4379541
cites work: Q3453552
cites work: A note on the conditioning of upwind schemes on Shishkin meshes
cites work: Q3690992
cites work: The uniform convergence with respect to a small parameter of A. A. Samarskij's monotone scheme and its modification
cites work: Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
cites work: Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
cites work: Stability of a finite-difference discretization of a singular perturbation problem
cites work: The midpoint upwind scheme
cites work: A higher-order scheme for quasilinear boundary value problems with two small parameters
cites work: Q3925832
cites work: A priori meshes for singularly perturbed quasilinear two-point boundary value problems
cites work: Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes
DOI: 10.1016/J.CAM.2018.02.012
description: scientific article; zbMATH DE number 6860313