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A new computational scheme for the nonlinear cosmological matter powerspectrum (PS) is presented. Our method is based on evolution equations in time,which can be cast in a form extremely convenient for fast numericalevaluations. A nonlinear PS is obtained in a time comparable to that needed fora simple 1-loop computation, and the numerical implementation is very simple.Our results agree with N-body simulations at the percent level in the BAO rangeof scales, and at the few-percent level up to $k ~ 1$ h/Mpc at $z >= 0.5$,thereby opening the possibility of applying this tool to scales interesting forweak lensing. We clarify the approximations inherent to this approach as wellas its relations to previous ones, such as the Time Renormalization Group, andthe multi-point propagator expansion. We discuss possible lines of improvementsof the method and its intrinsic limitations by multi streaming at small scalesand low redshifts.

Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale