SPECTRAL METHODS ON ARBITRARY GRIDS

Stable and spectrally accurate numerical methods are constructed on ar bitrary grids for partial differential equations, These new methods ar e equivalent to conventional spectral methods but do not rely on speci fic grid distributions. Specifically, we show how to implement Legendr e Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids. (C) 1996 Academic Press, Inc.