Improved cubature formulae of high degrees of exactness for the square
Journal of Computational and Applied Mathematics
Bivariate Lagrange interpolation at the Padua points: The generating curve approach
Journal of Approximation Theory
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
Numerische Mathematik
Is Gauss Quadrature Better than Clenshaw-Curtis?
SIAM Review
Algorithm 886: Padua2D---Lagrange Interpolation at Padua Points on Bivariate Domains
ACM Transactions on Mathematical Software (TOMS)
Computing Fekete and Lebesgue points: Simplex, square, disk
Journal of Computational and Applied Mathematics
ACM Transactions on Mathematical Software (TOMS)
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We have implemented in Matlab/Octave two fast algorithms for bivariate Lagrange interpolation at the so-called Padua points on rectangles, and the corresponding versions for algebraic cubature.