Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions |
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| Authors: | Shaochun Chen |
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| Affiliation: | a Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
b Institute of Computational Mathematics and Science/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, P.O. Box: 2719, Beijing 100190, China |
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| Abstract: | 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. |
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| Keywords: | Lagrange interpolation Anisotropic error bounds Newton&rsquo s interpolation formula |
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