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Padua points

In polynomial interpolation of two variables, the Padua points are the first known example (and up to now the only one) of a unisolvent point set… Expand
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Interpolation
Lagrange polynomialLebesgue constant (interpolation)List of numerical analysis topicsMultivariate interpolation
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves
Motivated by an application in Magnetic Particle Imaging, we study bivariate Lagrange interpolation at the node points of… Expand
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2016
2016
Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case
In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node… Expand
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2010
2010
Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave
We have implemented in Matlab/Octave two fast algorithms for bivariate Lagrange interpolation at the so-called Padua points on… Expand
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2010
2010
On the Vandermonde Determinant of Padua-like Points
Recently [1] gave a simple, geometric and explicit construction of bivariate interpolation at points in a square (the so-called… Expand
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Highly Cited
2009
Highly Cited
2009
Computing approximate Fekete points by QR factorizations of Vandermonde matrices
We propose a numerical method (implemented in Matlab) for computing approximate Fekete points on compact multivariate domains. It… Expand
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2008
2008
Algorithm 886: Padua2D---Lagrange Interpolation at Padua Points on Bivariate Domains
We present a stable and efficient Fortran implementation of polynomial interpolation at the Padua points on the square [ − 1,1]2… Expand
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2007
2007
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
The Padua points are a family of points on the square [−1, 1]2 given by explicit formulas that admits unique Lagrange… Expand
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Highly Cited
2006
Highly Cited
2006
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… Expand
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2006
2006
Bone Mineral Density in Two Boxer Dogs Affected by Moderate to End-stage Chronic Renal Failure
, 2002).In moderate CRF, increased phosphaturia promoted by surviving nephrons maintainsthe plasma phosphate concentration toward… Expand
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Highly Cited
2005
Highly Cited
2005
Bivariate polynomial interpolation on the square at new nodal sets
Abstract As known, the problem of choosing “good” nodes is a central one in polynomial interpolation. While the problem is… Expand
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