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Bivariate Lagrange interpolation at the Padua points: the ideal theory approach

โœ Scribed by Len Bos; Stefano De Marchi; Marco Vianello; Yuan Xu


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
241 KB
Volume
108
Category
Article
ISSN
0029-599X

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Bivariate Lagrange interpolation at the
โœ Marco Caliari; Stefano De Marchi; Marco Vianello ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 370 KB

The so-called "Padua points" give a simple, geometric and explicit construction of bivariate polynomial interpolation in the square. Moreover, the associated Lebesgue constant has minimal order of growth O(log 2 (n)). Here we show four families of Padua points for interpolation at any even or odd de