Filtering non-periodic functions

DOI10.1016/S0045-7825(94)80015-4zbMath0823.65016OpenAlexW2021933526MaRDI QIDQ1892452

S. M. Ould Kaber

Publication date: 24 October 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80015-4

zbMATH Keywords

Chebyshev polynomialsnumerical examplesGibbs phenomenonbest polynomial approximationLegendre polynomialsconvolution filterlocal spectral accuracy

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

Related Items

Chebyshev super spectral viscosity method for a fluidized bed model., Spectral methods for \(2D\) Riemann problems, The Legendre-Burgers equation: when artificial dissipation fails

Cites Work

• Family of spectral filters for discontinuous problems
• Spectral approximation for elliptic boundary value problems
• Some results of bernstein and jackson type for polynomial approximation inL p-spaces
• The Fourier Method for Nonsmooth Initial Data
• Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
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