STABILITY AND ACCURACY OF THE CUBIC INTERPOLATED PROPAGATION SCHEME

We have studied the stability and accuracy of the advection phase calc ulation of the Cubic Interpolated Propagation scheme, which solves the universal hyperbolic equation. An advection equation with a constant velocity field is examined using Fourier analysis. The results show th at the scheme is stable, the group velocity is almost constant, and th e gain is near unity for a wide range of wave numbers. The low dissipa tion and dispersion of the scheme result from an approximation that us es nodal values of both physical quantities and their spatial derivati ves.