| Abstract: | Pseudospectral Methods based on global polynomial approximation yield exponential accuracy when the underlying function is
analytic. The presence of discontinuities destroys the extreme accuracy of the methods and the well-known Gibbs phenomenon
appears. Several types of postprocessing methods have been developed to lessen the effects of the Gibbs phenomenon or even
to restore spectral accuracy. The most powerful of the methods require that the locations of the discontinuities be precisely
known. In this work we discuss postprocessing algorithms that are applicable when it is impractical, or difficult, or undesirable
to pinpoint all discontinuity locations. |
