Analysis of Error Localization of Chebyshev Spectral Approximations
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Publication:6040291
DOI10.1137/22m1481452zbMath1528.41016arXiv2106.03456OpenAlexW4367055221MaRDI QIDQ6040291
Publication date: 24 May 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.03456
best approximationspointwise error estimatesspectral differentiationerror localizationChebyshev projectionsChebyshev interpolantsLegendre projections
Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (4)
Parameter choice strategies for error expressions and the numerical stability of Tikhonov-regularized approximation formulae ⋮ Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces ⋮ New error bounds for Legendre approximations of differentiable functions ⋮ Superconvergence points for higher-order derivative interpolation and its applications in spectral collocation method
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