Approximation of derivatives in a convection-diffusion two-point boundary value problem

Applied Numerical Mathematics

Volumn 39, Issue 1, 2001, Pages 47-60

  Kopteva, Natalia ^a   Stynes, Martin ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Approximation of derivatives; Bakhvalov mesh; Convection diffusion problems; Shishkin mesh; Singular perturbation; Upwind scheme

Indexed keywords

DIFFUSION; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES;

CONVECTION-DIFFUSION PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0035479453     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00051-4     Document Type: Article

References (13)

1. On the convergence, uniform with respect to a small parameter, of monotone three-point difference approximations
2. On the computation of a boundary flux with uniform accuracy with respect to a small parameter
3. On the optimization of methods for solving boundary value problems with boundary layers
4. A conservative uniformly accurate difference method for a singular perturbation problem in conservative form
5. On the approximation of derivatives of singularly perturbed boundary value problems
6. Defect correction on Shishkin-type meshes
7. Graded-mesh difference schemes for singularly perturbed two-point boundary value problems
8. On the uniform convergence of the Scharfetter-Gummel discretization in one dimension
9. Uniform pointwise convergence on Shishkin-type meshes for quasilinear convection-diffusion problems
10. Numerical Methods for Singularly Perturbed Differential Equations
11. A uniform numerical method for a class of quasilinear turning point problems