摘要

We reveal the relationship between a Petrov - Galerkin method and a spectral collocation method at the Chebyshev points of the second kind (+/- 1 and zeros of U-k ) for the two-point boundary value problem. Derivative superconvergence points are identified as the Chebyshev points of the first kind (Zeros of T-k ). Super-geometric convergent rate is established for a special class of solutions.