This paper employs the unified transform to present a boundary-based spectral collocation
method suitable for solving acoustic scattering problems. The method is suitable for
both interior and exterior scattering problems, and may be extended to three dimensions.
A number of simple two-dimensional examples are presented to illustrate the versatility
of this method, and, upon comparison with other spectral methods, or boundary-based
methods the approach presented in this paper is shown to be very competitive
