We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wendroff theorems. We then state a Lax-Wendroff consistency result for convection operators on staggered grids (often used in fluid flow simulations), which illustrates a recent generalization of the flux consistency notion designed to cope with general discrete functions.

翻译：我们对有限差异和有限量方法的数学分析进行了(部分)历史总结,特别注意Lax-Richtmyer和Lax-Wendroff定理,然后说明在交错网格(经常用于流动模拟)上的对流操作员的Lax-Wendroff一致性结果,说明最近为应付一般离散功能而对通量一致性概念的概括。