Sobolev smoothing of SVD-based Fourier continuations

DOI10.1016/j.aml.2012.06.008zbMath1252.65220OpenAlexW1999827498MaRDI QIDQ714566

Mark Lyon

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.008

zbMATH Keywords

smoothingnumerical examplessingular value decompositionFourier coefficientsleast squares problemFourier extensionFourier continuationFourier series approximationsnon-periodic functions

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 (1)

The Fourier approximation of smooth but non-periodic functions from unevenly spaced data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping
• High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations
• A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
• Approximation error in regularized SVD-based Fourier continuations
• High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements
• Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
• On the resolution power of Fourier extensions for oscillatory functions
• On the Fourier Extension of Nonperiodic Functions
• A Fast Algorithm for Fourier Continuation

This page was built for publication: Sobolev smoothing of SVD-based Fourier continuations