Name
Title | ||
|---|---|---|
A defect–correction parameter-uniform numerical method for a singularly perturbed convection–diffusion problem in one dimension |
Abstract | ||
|---|---|---|
Monotone second order parameter-robust numerical methods for singularly perturbed differential equations can be designed using the principles of defect-correction. However, the proofs of second order parameter-uniform convergence can be difficult, even in one dimension. In this paper, we examine a variant of the standard defect-correction scheme. This variant is proposed in order to simplify the analysis of a defect-correction method in the case of a one dimensional convection–diffusion problem. Numerical results are presented to validate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/s11075-006-9021-y | Numerical Algorithms |
Keywords | Field | DocType |
defect-correction,second order,Shishkin mesh,singular perturbation,65L70,65L12 | Convection–diffusion equation,Mathematical optimization,Mathematical analysis,Numerical solution of the convection–diffusion equation,Singular perturbation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
41 | 4 | 1017-1398 |
Citations | PageRank | References |
5 | 0.47 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. L. Gracia | 1 | 139 | 18.36 |
| E. O'Riordan | 2 | 8 | 2.09 |