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JAT
2006

Bivariate Lagrange interpolation at the Padua points: The generating curve approach

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Bivariate Lagrange interpolation at the Padua points: The generating curve approach
We give a simple, geometric and explicit construction of bivariate interpolation at certain points in a square (called Padua points), giving compact formulas for their fundamental Lagrange polynomials. We show that the associated norms of the interpolation operator, i.e., the Lebesgue constants, have minimal order of growth of O((log n)2). To the best of our knowledge this is the first complete, explicit example of near optimal bivariate interpolation points.
Len Bos, Marco Caliari, Stefano De Marchi, Marco V
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JAT
Authors Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello, Yuan Xu
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