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Spectral and pseudospectral approximations in time for parabolic equations. (English) Zbl 0898.65057

Spectral and pseudospectral methods are applied to both time and space variables for parabolic equations. Error estimates for the spectral approximations are derived.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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