The Fourier pseudospectral method for three-dimensional vorticity equations (Q582481)

The authors propose a pseudospectral method by using generalized Riesz spherical means to solve the space-periodical problem for the three- dimensional vorticity equations (generalized Helmholtz's equation). Error estimates are given for \(\nu >0\), \(\nu =0\), and for the three level scheme in appropriate spaces. Generalized stability schemes is proved.