One difficulty with computing the surge of a floating elastic plate is that Green's function for the boundary value problem has singularities on the boundary and at the corners. This talk will show how to resolve the integrals over the corners using the Kummer transform to separate the singular part of Green's function. The resulting numerical computation avoids the singular parts altogether. In contrast, the zero-draft approximation allows no surge important in water-tank scaled experiments. Our computation method efficient and accurate to study the surge motion in various frequency/wavelength regimes.