ENATE is a high-order discretization scheme that has been presented in several papers. Under special circumstances it can provide the exact solution, that is, within machine accuracy, of a linear or nonlinear convection-diffusion equation. In its original formulation is a 1d scheme. The scheme derivation ends up with an algebraic equation that relates the variable values at three nodes whose coefficients contain integrals of several flow-related parameters. The way these integrals are approximated is of paramount importance for the accuracy of the whole procedure. ENATE used initially Hermite polynomials as primary interpolants of the integrands. Results of a slightly more sophisticated interpolants will be shown in this paper. Recently ENATE has been extended to 2d equations and shown that the solution accuracy is not deteriorated despite using ENATE 1d formulation. The method, named as REMEDIES, splits the multidimensional equation in as many 1d equations as dimensions and uses as many additional scalar functions as dimensions minus one. The splitting performance will be assessed in multidimensions (other than two). The procedure will be applied to very simple cases of Navier-Stokes problems.