Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods

نویسندگان

  • Jie Shen
  • Li-Lian Wang
چکیده

A general framework is introduced to analyze the approximation properties of mapped Legendre polynomials and of interpolations based on mapped Legendre–Gauss–Lobatto points. Optimal error estimates featuring explicit expressions on the mapping parameters for several popular mappings are derived. These results not only play an important role in numerical analysis of mapped Legendre spectral and pseudospectral methods for differential equations but also provide quantitative criteria for the choice of parameters in these mappings.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2004