Approximation of scattered data by trigonometric polynomials on the torus and the 2-sphere

DOI10.1023/B:ACOM.0000016432.97333.E8zbMATH Open1047.65006OpenAlexW2021424628MaRDI QIDQ1431330

Daniel Potts

Publication date: 27 May 2004

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:acom.0000016432.97333.e8

zbMATH Keywords

algorithmssmoothingnumerical examplesfast Fourier transformsspheretorusVandermonde matrixtrigonometric approximationperiodic functionsleast square problemsnonequispaced dataiterative conjugate gradient-type methods

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Trigonometric approximation (42A10) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40)

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A note on Newbery's algorithm for discrete least-squares approximation by trigonometric polynomials ⋮ Weighted spectral filters for kernel interpolation on spheres: estimates of prediction accuracy for noisy data

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