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Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics

I. N. Nikitin·J. De Luca
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Abstract

We develop two numerical methods to solve the differential equations with deviating arguments for the motion of two charges in the action-at-a-distance electrodynamics. Our first method uses Stürmer's extrapolation formula and assumes that a step of integration can be taken as a step of light ladder, which limits its use to shallow energies. The second method is an improvement of pre-existing iterative schemes, designed for stronger convergence and can be used at high-energies.

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I. N. Nikitin, J. De Luca. 2001-05-29. Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics. https://doi.org/10.1142/s0129183101001894

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