Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions
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摘要
In this paper, using the Newton’s formula of Lagrange interpolation, we present a new proof of the anisotropic error bounds for Lagrange interpolation of any order on the triangle, rectangle, tetrahedron and cube in a unified way.
论文关键词:Lagrange interpolation,Anisotropic error bounds,Newton’s interpolation formula
论文评审过程:Available online 30 April 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.04.015