Error attenuation in Abel inversion

DOI10.1016/0021-9991(82)90092-4zbMath0494.65077OpenAlexW2090759094MaRDI QIDQ1169271

J.-P. Lanquart

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90092-4

zbMATH Keywords

polynomial approximationAbel integral equationleast squareserror attenuationoptimal curve fitting

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

An approximate method for Abel inversion using Chebyshev polynomials ⋮ Generalized Abel inversion using extended hat functions operational matrix ⋮ A stable numerical inversion of generalized Abel's integral equation

Cites Work

• Unnamed Item
• Smoothing techniques for curve estimation. Proceedings of a workshop held in Heidelberg, April 2-4, 1979
• Numerical Methods for Reducing Line and Surface Probe Data
• The application of the least squates finite element method to Abel's integral equation
• Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials
• The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method
• Numerical Solutions of the Abel Integral Equation

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