Nikitin, I.N.I.N.NikitinLuca, J. deJ. deLuca2022-03-032022-03-032001https://publica.fraunhofer.de/handle/publica/20063010.1142/S0129183101001894We 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 Sturmer'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.en005006629004530journal article