This paper is devoted to the numerical analysis of a numerical scheme for the simulation of front advection. The scheme has been recently proposed and it is based on the ideas used for Glimm’s scheme. It relies on a two-step approach: a convection step is followed by a projection step, which is based on a random choice. The main advantage of this scheme is that it is applicable to multidimensional problems. In the present paper, a convergence result for this scheme is provided for a particular class of multidimensional problems.

中文翻译：

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用于前沿传输的多维 Glimm-like 方案的收敛

本文致力于对一个模拟锋面平流的数值方案进行数值分析。该方案是最近提出的，它基于 Glimm 方案中使用的思想。它依赖于两步方法：对流步骤之后是基于随机选择的投影步骤。该方案的主要优点是适用于多维问题。在本文中，为特定类别的多维问题提供了该方案的收敛结果。