Tadmor, Eitan The exponential accuracy of Fourier and Chebyshev differencing methods. (English) Zbl 0613.65017 SIAM J. Numer. Anal. 23, 1-10 (1986). The author proves that for analytic functions the asymptotic decay rate of the error with either the Fourier or Chebyshev differencing is exponential. Reviewer: P.Narain Cited in 51 Documents MSC: 65D25 Numerical differentiation 42A20 Convergence and absolute convergence of Fourier and trigonometric series 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) 65B99 Acceleration of convergence in numerical analysis Keywords:Fourier approximation; Chebyshev approximation; pseudospectral differencing; exponential decay PDF BibTeX XML Cite \textit{E. Tadmor}, SIAM J. Numer. Anal. 23, 1--10 (1986; Zbl 0613.65017) Full Text: DOI