Name
Title | ||
|---|---|---|
Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems. |
Abstract | ||
|---|---|---|
A class of linear singularly perturbed convection-diffusion problems in one dimension is discretized on the Shishkin mesh using hybrid higher-order finite-difference schemes. Under appropriate conditions, pointwise convergence uniform in the perturbation parameter ε is proved for one of the discretizations. This is done by the preconditioning approach, which enables the proof of ε-uniform stability and ε-uniform consistency, both in the maximum norm. The order of convergence is almost 3 when ε is sufficiently small. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.amc.2020.125495 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Singular perturbation,Convection-diffusion,Finite differences,Hybrid scheme,Shishkin mesh,Uniform stability,Uniform convergence,Preconditioning | Journal | 386 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Relja Vulanovic | 1 | 35 | 13.39 |
| Thái Anh Nhan | 2 | 0 | 0.68 |