The advection-diffusion equation is approximated by Chebyshev and Legendre spectral and pseudo-spectral methods. Stability results in the energy norm and error estimates in terms of the discretization parameter and of the regularity of the solution in weighted Sobolev norms are presented. © 1981 Instituto di Elaborazione della Informazione del CNR.
Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions
QUARTERONI, ALFIO MARIA
1981-01-01
Abstract
The advection-diffusion equation is approximated by Chebyshev and Legendre spectral and pseudo-spectral methods. Stability results in the energy norm and error estimates in terms of the discretization parameter and of the regularity of the solution in weighted Sobolev norms are presented. © 1981 Instituto di Elaborazione della Informazione del CNR.File in questo prodotto:
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