Spectral methods and a maximum principle
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- by Claudio Canuto PDF
- 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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Math. Comp. 51 (1988), 615-629
- MSC: Primary 65N30; Secondary 65N35
- DOI: https://doi.org/10.1090/S0025-5718-1988-0930226-2
- MathSciNet review: 930226