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Revisiting the inverse Abel integral for reconstructing velocity-map images. [PDF]
Sparling C, Onvlee J.
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ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF AN NTH ORDER NONLINEAR DIFFERENTIAL EQUATION [PDF]
LOCKE, PHILIP MOSIMAN
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The Abel Integral Equations in Distribution
Chenkuan Li +4 more
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Calculations of propagation of density perturbations in collisionless plasmas [PDF]
Jørgensen, L.W., Pécseli, Hans
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ABEL'S LINEAR INTEGRAL EQUATION
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An extension of Abel's integral equation
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Regularisation of Abel's integral equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987SynopsisConsider the Abel integral operatorwhere 0 < α < 1. Supposeuis inH1(0, 1) ofH1-norm ≦E, andfis an element ofL2(0, 1) such that ∥Au–f∥L−2< ε. We give a regularised approximate solutionuβ(f) of the equationwhich satisfiesand can be computed simply by performing some integrations.
Dang Dinh Hai, Dang Dinh Ang
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