Interpolation and cubature for rectangular sets of nodes

DOI10.1090/proc/15414zbMath1484.65024OpenAlexW3111129674MaRDI QIDQ4992932

Brian Simanek, Lawrence A. Harris

Publication date: 10 June 2021

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

Full work available at URL: https://doi.org/10.1090/proc/15414

zbMATH Keywords

interpolationcubature formulaLagrange polynomials on rectangle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Bivariate Lagrange interpolation at the checkerboard nodes ⋮ Alternation points, weights and orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Lagrange interpolation on Chebyshev points of two variables
• On minimal cubature formulae for product weight functions
• On the history of multivariate polynomial interpolation
• Alternation points and bivariate Lagrange interpolation
• Bivariate Lagrange interpolation at the node points of Lissajous curves -- the degenerate case
• Polynomial interpolation in several variables
• Lagrange polynomials, reproducing kernels and cubature in two dimensions
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• Multivariate Markov polynomial inequalities and Chebyshev nodes
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
• Interpolation and cubature at the Morrow-Patterson nodes generated by different Geronimus polynomials

This page was built for publication: Interpolation and cubature for rectangular sets of nodes