Abstract
Abstract 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.
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