Spectral and pseudospectral (collocation) approximations of the advection equations in an ipercube are presented. Collocation is imposed on the Chebyshev nodes. Stability and convergence results are given in Sobolev norms relative to some Jacobi weights. © 1984 Instituto di Elaborazione della Informazione del CNR.
Error estimates for spectral approximation of linear advection equations over an ipercube / Funaro, D.. - In: CALCOLO. - ISSN 0008-0624. - 20:3(1983), pp. 337-353. [10.1007/BF02576469]
Error estimates for spectral approximation of linear advection equations over an ipercube
Funaro D.
1983
Abstract
Spectral and pseudospectral (collocation) approximations of the advection equations in an ipercube are presented. Collocation is imposed on the Chebyshev nodes. Stability and convergence results are given in Sobolev norms relative to some Jacobi weights. © 1984 Instituto di Elaborazione della Informazione del CNR.
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