The evaluation of the conjugate function of a periodic spline on a uniform mesh
type: Item
instance of: scholarly article
title: The evaluation of the conjugate function of a periodic spline on a uniform mesh
zbMATH Open document ID: 0629.65010
DOI: 10.1016/0377-0427(86)90091-9
published in: Journal of Computational and Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let a function that is conjugate to a given spline be defined over a uniform mesh. If the mesh consists of N points, an O(N log N) algorithm is presented for the simultaneous evaluation of the conjugate function at all mesh points. The method makes use of the fast Fourier transform.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4024601
zbMATH Keywords: discrete Hilbert transform
zbMATH Keywords: periodic splines
zbMATH Keywords: attenuation factors
zbMATH Keywords: O(N log N) algorithm
zbMATH Keywords: conjugate function
zbMATH Keywords: fast Fourier transform
author: Martin H. Gutknecht
reviewed by: Gerald Farin
MaRDI profile type: Publication
full work available at URL: 0377-0427(86)90091-9
OpenAlex ID: W2086228772
cites work: Q3661894
cites work: Q5540873
cites work: A general method for the construction of interpolating or smoothing spline-functions
cites work: Zur numerischen Fourier-Transformation
cites work: Q3252517
cites work: Q3930610
cites work: Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
cites work: Q5725786
cites work: Oscillation matrices with spline smoothing
cites work: Untersuchungen zur numerischen Fourieranalyse. (Investigations on numerical Fourier analysis)
cites work: Attenuation factors in practical Fourier analysis
cites work: Approximation by periodic spline interpolants on uniform meshes
cites work: Q5683189
cites work: Q3267544
cites work: Fast algorithms for the conjugate periodic function
cites work: Numerical Experiments on Solving Theodorsen’s Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods
cites work: Numerical conformal mapping methods based on function conjugation
cites work: Q4104802
cites work: Fast Fourier Methods in Computational Complex Analysis
cites work: Q5556050
cites work: Optimale approximation linearer Funktionale auf periodischen Funktionen
cites work: Q3846497
cites work: The special functions and their approximations. Vol. I, II
cites work: Smoothing by spline functions.
cites work: Smoothing by spline functions. II
cites work: Two Extensions of the Sard–Schoenberg Theory of Best Approximation
cites work: Q5523117
cites work: SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION
cites work: Smoothing noisy data with spline functions
cites work: Q5674838
Recommended article: Periodic Spline Interpolation on Uniform Meshes
Recommended article: Interpolation by quadratic spline with periodic derivative on uniform meshes
Recommended article: On the convergence of periodic splines of arbitrary degree
Recommended article: Q3700197
Recommended article: Q3983962
Recommended article: Spline approximation methods with uniform meshes in algebras of multiplication and convolution operators
Recommended article: Periodic interpolation on uniform meshes
Recommended article: Q3357634
Recommended article: Q5687808
Recommended article: Q4230977
description: scientific article; zbMATH DE number 4024601