|| Checking for direct PDF access through Ovid
Air pollution modeling is now a mature field, and comprehensive numerical models (the chemistry-transport models) are used in many applications. This article aims at reviewing the main issues from the point of view of applied mathematics and computational physics (as viewed by the author). We address topics such as subgrid parameterization, numerical algorithms with a focus on aerosol simulation, data assimilation and inverse modeling, reduction of high-dimensional models and propagation of uncertainties. Even if this article is strictly related to air pollution modeling, many issues and methods can be extended to dispersion of tracers in other media (for instance, water).