Numerical Analysis of Approximate Deconvolution Models Iuliana Stanculescu Consider the NSE averaged with a local, spacial, convolution type filter. The resulting system is not closed. We study ADM, approximate deconvolution models, approach to closure of Stolz and Adams. We review several solutions to the ill-posed deconvolution problem, present an "optimal" deconvolution procedure and present numerical analysis and numerical experiments with it.