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We report on the first application of model reduction techniques to the numerical simulation of self-consistent field (SCF) models for polymer melts at equilibrium. As a complement to the classical SCF iteration, the parametric reaction-diffusion equations for the chain propagators are treated by a reduced basis (RB) approximation from spaces of bandlimited functions. Numerical examples in a spatially one-dimensional, periodic setting show that the approach is feasible, although not all requirements of an orthodox RB scheme are satisfied.