Algorithms for the integration and derivation of Chebyshev series.

DOI10.1016/S0096-3003(03)00301-1zbMath1044.65019OpenAlexW2025308149MaRDI QIDQ1428590

D. Massart

Publication date: 29 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00301-1

zbMATH Keywords

Chebyshev polynomialsintegralsderivatives

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities

Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
• Chebyshev collocation methods for fast orbit determination
• Compression of almost-periodic data.
• Numerical evaluation of the \(p\)th derivative of Jacobi series
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation
• Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series

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