Pole condition for singular problems: the pseudospectral approximation

@article{Huang1993PoleCF,
  title={Pole condition for singular problems: the pseudospectral approximation},
  author={Weizhang Huang and David M. Sloan},
  journal={Journal of Computational Physics},
  year={1993},
  volume={107},
  pages={254-261}
}
Abstract This paper deals with the pseudospectral solution of differential equations with coordinate singularities such as those which describe situations in spherical or cylindrical geometries. We use the differential equation, together with a smoothness assumption on the solution, to construct "pole conditions." The pole conditions, which are straightforward and easily implemented, serve as numerical boundary conditions at the coordinate singularity. Standard pseudospectral methods, including… 
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