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Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity

Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity

The work presented here describes a method of coordinate transformation that enables spectral methods to be applied efficiently to differential problems with steep solutions. The approach makes use of the adaptive finite difference method presented by Huang and Sloan [SIAM J. Sci. Comput., 15 (1994), pp. 776--797]. This method is …