Reversible adaptive regularization methods for atomic N-body problems in applied fields Original Research Article

Reversible and adaptive integration methods based on Kustaanheimo-Stiefel regularization and modified Sundman transformations have recently been proposed for perturbed Kepler motion and certain types of N-body problems including atomic scattering and gravitation. These methods are explicit, and demonstrate superior conservation properties compared to standard explicit integrators applied with or without variable stepsize schemes. In this paper, reversible adaptive regularization is applied to treat (classical) atomic systems in applied electrical and/or magnetic fields.