Some results on linear rational trigonometric interpolation

DOI10.1016/S0898-1221(01)00317-0zbMath0995.42003MaRDI QIDQ1609135

Richard Baltensperger

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

rational interpolationtrigonometric interpolationexponential convergencebarycentric form

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (10)

Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm ⋮ A barycentric trigonometric Hermite interpolant via an iterative approach ⋮ Fast barycentric rational interpolations for complex functions with some singularities ⋮ Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness ⋮ The AAAtrig Algorithm for Rational Approximation of Periodic Functions ⋮ Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods ⋮ A periodic map for linear barycentric rational trigonometric interpolation ⋮ Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes ⋮ A linear barycentric rational interpolant on starlike domains ⋮ Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions

Cites Work

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• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Baryzentrische Formeln zur Trigonometrischen Interpolation. I
• Baryzentrische Formeln zur trigonometrischen Interpolation. II: Stabilität und Anwendung auf die Fourieranalyse bei ungleichabständigen Stützstellen
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
• Roundoff error in computing derivatives using the Chebyshev differentiation matrix
• Ableitungsfreie Abschätzungen bei trigonometrischer Interpolation und Konjugierten-Bestimmung
• The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points
• Improving the accuracy of the matrix differentiation method for arbitrary collocation points
• New Formulas for Trigonometric Interpolation
• Exponential convergence of a linear rational interpolant between transformed Chebyshev points
• Generation of Pseudospectral Differentiation Matrices I
• Spectral Differencing with a Twist
• Coefficients for Facilitating Trigonometric Interpolation

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