Abstract
We present details of an algorithm for the solution of the one-dimensional atom–dipole interactions problem for a uniform distribution that is based on the combination of the full multigrid and cell multipole methods. The rate of convergence of this technique is faster than current iterative methods used to solve this problem. It can be extended to a three-dimensional algorithm that will allow people to include polarizable interactions in simulations for a more accurate description of simulated systems.
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