中点迎风差分格式在Bakhvalov-Shishkin网格上的注记

Note on the midpoint upwind scheme of the Bakhvalov-Shishkin mesh.

研究具有单一边界层的奇异摄动两点边界值问题 ,在 Bakhvalov- Shishkin网格上构造了中点迎风差分格式 ,并且证明了该差分格式具有 O(N-1)关于摄动参数ε一致的收敛阶 ,其中 N为网格结点数 .

The midpoint upwind scheme in the Bakhvalov\|Shishkin mesh was used to approximate a singularly perturbed two\|point boundary value problem whose solution has a single boundary layer. The convergence order \%O(N\%\+\{-1\}) to be uniform in the perturbation parameter \%ε\% was found.