The minimal radius of Galerkin information for the problem of numerical differentiation

DOI10.1016/j.jco.2023.101787OpenAlexW4385566795MaRDI QIDQ6154548

S. G. Solodky, Sergei A. Stasyuk

Publication date: 15 February 2024

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2023.101787

zbMATH Keywords

numerical differentiationinformation complexitytruncation methodhyperbolic crossnumerical summationminimal radius of Galerkin information

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical differentiation (65D25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Optimal approximation of multivariate periodic Sobolev functions in the sup-norm
• The minimal radius of Galerkin information for severely ill-posed problems
• Fourier truncation method for high order numerical derivatives
• Optimal order of accuracy in Vasin's method for differentiation of noisy functions
• Stable summation of orthogonal series with noisy coefficients.
• Optimization of projection methods for solving ill-posed problems
• Application of Fourier truncation method to numerical differentiation for bivariate functions
• Estimates of efficiency for two methods of stable numerical summation of smooth functions
• Hyperbolic cross and the complexity of various classes of ill-posed linear problems
• Summation of smooth functions of two variables with perturbed Fourier coefficients
• The minimal radius of Galerkin information for the Fredholm problem of the first kind
• Numerical differentiation for the second order derivatives of functions of two variables
• A scheme for stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise
• A truncated Legendre spectral method for solving numerical differentiation
• Multivariate Approximation
• On numerical differentiation

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