Spectral methods and a maximum principle

Canuto, Claudio

doi:10.1090/S0025-5718-1988-0930226-2

Spectral methods and a maximum principle
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Math. Comp. 51 (1988), 615-629 Request permission

Abstract:

Various spectral Chebyshev approximations of a model boundary layer problem for both a Helmholtz and an advection-diffusion operator are considered. It is assumed that simultaneously the boundary layer width tends to zero and the resolution power of the numerical method tends to infinity. The behavior of the spectral solutions in the frequency space and in the physical space is investigated. Error estimates are derived.

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