High-accuracy product integration methods for the Abel equation, and their application to a problem in scattering theory

DOI10.1002/NME.1620191010zbMath0515.65094OpenAlexW1976139377MaRDI QIDQ3662567

Sean McKee, R. F. Cameron

Publication date: 1983

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620191010

zbMATH Keywords

generalized Abel equationbackward product integration methodssmall angle deflection problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Quantum scattering theory (81U99) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

Inverse potential scattering problem and its application to the Na-He system ⋮ An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations ⋮ New stable numerical inversion of Abel's integral equation ⋮ An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations

Cites Work

• Numerical Solutions of the Abel Integral Equation
• On the Numerical Solution of Volterra Integral Equations

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