Name
Title | ||
|---|---|---|
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. |
Abstract | ||
|---|---|---|
A finite difference method for a time-dependent convection–diffusion problem in one space dimension is constructed using a Shishkin mesh. In two recent papers (Clavero et al. (2005) [2] and Mukherjee and Natesan (2009) [3]), this method has been shown to be convergent, uniformly in the small diffusion parameter, using somewhat elaborate analytical techniques and under a certain mesh restriction. In the present paper, a much simpler argument is used to prove a higher order of convergence (uniformly in the diffusion parameter) than in [2], [3] and under a slightly less restrictive condition on the mesh. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2011.05.025 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Convection–diffusion parabolic problem,Uniform convergence,Shishkin mesh,Hybrid finite difference scheme | Convection–diffusion equation,Mathematical optimization,Mathematical analysis,Uniform convergence,Numerical solution of the convection–diffusion equation,Finite difference method,Rate of convergence,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
235 | 17 | 0377-0427 |
Citations | PageRank | References |
6 | 0.61 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. Clavero | 1 | 114 | 22.46 |
| j tornero l gracia | 2 | 20 | 3.50 |
| Martin Stynes | 3 | 273 | 57.87 |