A robust method for accurately representing nonperiodic functions given Fourier coefficient information

DOI10.1016/S0377-0427(01)00518-0zbMath0998.65144MaRDI QIDQ1602820

R. K. Wright

Publication date: 24 June 2002

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

zbMATH Keywords

splinesFourier coefficientsleast squares fittingFourier series representationsGibbs oscillations

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Local spline approximation of discontinuous functions and location of discontinuities, given low-order Fourier coefficient information. ⋮ Local approximation on surfaces with discontinuities, given limited order Fourier coefficients ⋮ Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\) ⋮ On the Convergence of the Quasi-Periodic Approximations on a Finite Interval

Uses Software

• Maple

Cites Work

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• On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
• A practical guide to splines
• Spline fitting discontinuous functions given just a few Fourier coefficients
• Fast Fourier Methods in Computational Complex Analysis
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
• On the Gibbs Phenomenon and Its Resolution
• Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
• Quadratic spline interpolation

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