# Tag Info

First, Galerkin in his article from 1915 does not discuss any weighting other the $\omega(x) = 1$. The Galerkin method is a direct generalization of the Rayleigh-Ritz method, and a variational procedure cannot be constructed with any other weight. That approach was the only one used until the FFT came about. If you want to use FFT, then you must use ...