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We have devised a variational sinc collocation method (VSCM) which can beused to obtain accurate numerical solutions to many strong-coupling problems.Sinc functions with an optimal grid spacing are used to solve the linear andnon-linear Schr\"odinger equations and a lattice $\phi^4$ model in $(1+1)$. Ourresults indicate that errors decrease exponentially with the number of gridpoints and that a limited numerical effort is needed to reach high precision.Comment: 4 pages, 6 figure

A variational sinc collocation method for strong-coupling problems