Bivariate Lagrange interpolation at the checkerboard nodes

DOI10.1090/proc/15834OpenAlexW3179398557MaRDI QIDQ5863159

Srijana Ghimire, Xiang-Sheng Wang, Li-Hua Cao

Publication date: 11 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06380

zbMATH Keywords

existence and uniquenessbivariate Lagrange basis polynomialsbivariate vanishing polynomialscheckerboard nodes

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (1)

Alternation points, weights and orthogonal polynomials

Cites Work

• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• Lagrange interpolation on Chebyshev points of two variables
• On minimal cubature formulae for product weight functions
• Alternation points and bivariate Lagrange interpolation
• Lagrange polynomials, reproducing kernels and cubature in two dimensions
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• Bivariate Lagrange interpolation at the Chebyshev nodes
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
• Interpolation and cubature for rectangular sets of nodes

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