A spectral method
based on Hermite cubic splines expansions combined with a collocation scheme is
used to develop a solution for the vector form integral S-model kinetic
equation describing rarefied gas flows in cylindrical geometry. Some
manipulations are made to facilitate the computational treatment of the
singularities inherent to the kernel. Numerical results for the simulation of
flows generated by pressure and thermal gradients, Poiseuille and thermal-creep
problems, are presented.