Superconvergence of a Chebyshev Spectral Collocation Method

نویسنده

  • Zhimin Zhang
چکیده

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 Uk) for the two-point boundary value problem. Derivative superconvergence points are identified as the Chebyshev points of the first kind (Zeros of Tk). Super-geometric convergent rate is established for a special class of solutions.

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عنوان ژورنال:
  • J. Sci. Comput.

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2008