Postdoctoral Researcher, Computational Research Division
M. Duarte and M. Emmett, "High order schemes based on operator splitting and deferred corrections for stiff time dependent PDEs" , submitted for publication [arxiv].
M. Duarte, A.S. Almgren, and J.B. Bell, "A low Mach number model for moist atmospheric flows" , Journal of the Atmospheric Sciences, 72(4), pp. 1605-1620, 2015 [arxiv].
M. Duarte, Z. Bonaventura, M. Massot, and A. Bourdon, "A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations" , Journal of Computational Physics, 289, pp. 129-148, 2015 [arxiv].
M. Duarte, A.S. Almgren, K. Balakrishnan, J.B. Bell, and D.M. Romps, "A numerical study of methods for moist atmospheric flows: Compressible equations" , Monthly Weather Review, 142, pp. 4269-4283, 2014 [arxiv].
S. Descombes, M. Duarte, T. Dumont, F. Laurent, V. Louvet, and M. Massot, "Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames" , SIAM Journal on Numerical Analysis, 52, pp. 1311-1334, 2014 [arxiv].
For more information, please see my Google Scholar profile.