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In this paper we discuss some of the mathematical and numerical issues thathave to be addressed when calculating wave scattering using the EOS approach.The discussion is framed in context of light scattering by objects whoseoptical response can be of a nonlinear and/or inhomogeneous nature. Thediscussions address two issues that, more likely than not, will be part of anyinvestigation of wave scattering using the EOS approach.

On the EOS formulation for light scattering. Stability, Singularity and Parallelization