El método espectral para la resolución de ecuaciones diferenciales en derivadas parciales: su aplicación a la ecuación barotrópica de la vorticidad

Abstract

[EN]The Spectral Method is showned as one of the better methods to resolve Partial Diferencial Equation Systems. This is because it improves the numeric solution with respect to analytic solution. Moreover, the numeric solution mantains exactly the integral invariants of the analytic solution. In this paper, it is explained the matematical underlying principies of the method. At the end, it is applied to the resolution of the Barotropic Vorticity Equation for both local and spheric coordinates.