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A method is presented for the solution of the integral equations that describe the electromagnetic scattering from an infinitely long conducting cylinder in the time domain. The method discretizes the integral equations spatially using a high-order locally-corrected Nyström method and temporally using a filtered kernel. The filtering of the kernel both controls aliasing and reduces the order of its singularity. On the other hand, filtering also gives rise to a noncausal kernel so the time marching is accomplished with a bandlimited extrapolation scheme. Numerical results demonstrate the stability and accuracy of the proposed method.