The stability of barycentric interpolation at the Chebyshev points of the second kind |
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| Authors: | Walter F. Mascarenhas |
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| Affiliation: | 1. Instituto de Matemática e Estatística, Universidade de S?o Paulo, Cidade Universitária, Rua do Mat?o 1010, S?o Paulo, SP, CEP 05508-090, Brazil
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| Abstract: | We present a new analysis of the stability of the first and second barycentric formulae for interpolation at the Chebyshev points of the second kind. Our theory shows that the second formula is more stable than previously thought and our experiments confirm its stability in practice.We also extend our current understanding regarding the accuracy problems of the first barycentric formula. |
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