Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications

DOI10.1007/BF02109186zbMath0790.65113MaRDI QIDQ1315227

Manfred Tasche

Publication date: 24 February 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationfast algorithmscollocationdiscrete cosine transformd'Alembert functional equationdivide-and-conquer techniqueairfoil equationsdiscrete Chebyshev-Vandermonde transform

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for discrete and fast Fourier transforms (65T50) Applications to the sciences (65Z05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (8)

On the construction of wavelets on a bounded interval ⋮ A fast algorithm for Prandtl's integro-differential equation ⋮ Wavelets based on orthogonal polynomials ⋮ Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. I: Transformations ⋮ Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices ⋮ Representations of Toeplitz-plus-Hankel martrices using trigonometric transformations with application to fast matrix-vector multiplication ⋮ Uniform convergence of a fast algorithm for Cauchy singular integral equations ⋮ Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. II: Algorithms

Cites Work

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• On the simultaneous approximation of derivatives by Lagrange and Hermite interpolation
• On the \(L_2\) convergence of collocation for the generalized airfoil equation
• A fast algorithm for solving the generalized airfoil equation
• Fast radix-\(p\) discrete cosine transform
• On the Order of Convergence of Simultaneous Approximation by Lagrange-Hermite Interpolation
• ON THE CONVERGENCE OF THE DERIVATIVES OF PROJECTION OPERATORS

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