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- W778842256 abstract "It is shown that the eigenvalues Z sub i of the pseudospectral Fourier approximation to the operator sin(2x) curly d/curly dx satisfy (R sub e) (Z sub i) = + or - 1 or (R sub e)(Z sub I) = 0. Whereas this does not prove stability for the Fourier method, applied to the hyperbolic equation U sub t = sin (2x)(U sub x) - pi x pi; it indicates that the growth in time of the numerical solution is essentially the same as that of the solution to the differential equation." @default.
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- W778842256 date "1985-02-01" @default.
- W778842256 modified "2023-09-27" @default.
- W778842256 title "The eigenvalues of the pseudospectral Fourier approximation to the operator sin (2x) d/dx" @default.
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