%0 Journal Article
%A Pinelli, Alfredo
%A Benocci, C.
%A Deville, M.
%T A Chebyshev collocation algorithm for the solution of advection—diffusion equations
%D 1994
%@ 0045-7825
%U https://hdl.handle.net/20.500.14352/58580
%X An original method to precondition Chebyshev collocated advection-diffusion operators is proposed. The preconditioner, based on an upwind finite difference approximation, is tested on one- and two-dimensional problems. The preconditioner behaves efficiently for advection-dominated cases and produces rates of convergence independent of the number of nodes. Finally, an 'ad hoc' designed multi-domain strategy is introduced.
%~