%0 Journal Article %T Error estimates for approximations of nonlinear uniformly parabolic equations %A Olga Turanova %J Mathematics %D 2013 %I arXiv %X We introduce the notion of \delta-viscosity solutions for fully nonlinear uniformly parabolic PDE on bounded domains. We prove that \delta-viscosity solutions are uniformly close to the actual viscosity solution. As a consequence we obtain an error estimate for implicit monotone finite difference approximations of uniformly parabolic PDE. %U http://arxiv.org/abs/1309.6268v1