Spectral and Pseudospectral Approximations in Time for Parabolic Equations

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In this paper, spectral and pseudospectral methods are applied to both time and space variables for parabolic equations. Spectral and pseudospectral schemes are given, and error estimates are obtained for approximate solutions.

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Spectral and Pseudospectral Approximations in Time for Parabolic Equations. (1998). Journal of Computational Mathematics, 16(2), 107-120. https://gsp.tricubic.dev/JCM/article/view/11263