RT Journal Article T1 Chebyshev pseudospectral solution of advection-diffusion equations with mapped finite difference preconditioning A1 Pinelli, Alfredo A1 Benocci, C. A1 Deville, M. AB A new Chebyshev pseudo-spectral algorithm with finite difference preconditioning is proposed for the solution of advection-diffusion equations, A mapping technique is introduced which allows good convergence for any Peclet number both for one-dimensional and two-dimensional problems. Numerical results show that first-order Lagrange polynomials are the optimal mapping procedure for the one-dimensional problem and second-order Lagrange polynomials, for the two-dimensional one. PB Elsevier SN 0021-9991 YR 1994 FD 1994 LK https://hdl.handle.net/20.500.14352/58574 UL https://hdl.handle.net/20.500.14352/58574 DS Docta Complutense RD 6 oct 2024