The Neumann stability of high-order symmetric schemes for convection-diffusion problems
β Scribed by O. V. Shishkina
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 126 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
We derive a new fourth order compact finite difference scheme which allows different meshsize in different coordinate directions for the two-dimensional convection diffusion equation. A multilevel local mesh refinement strategy is used to deal with the local singularity problem. A corresponding mult
In this paper, a high-order upwind method for the convection-diffusion problems is proposed. The scheme satisfies the maximum principle, overcomes numerical oscillation, and has astonishingly high-order computing accuracy. At the same time, the error estimates O(h'~~c'"'~~,,) in d' lscrete L', H1 a