Generation of lattices of points for bivariate interpolation

DOI10.1007/s11075-004-3621-1zbMath1068.41002OpenAlexW2135805848MaRDI QIDQ1776168

J. M. Carnicer, Mariano Gasca

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3621-1

zbMATH Keywords

Lagrange formulabivariate interpolationgeometric characterizationprincipal lattices

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items

Interpolation lattices in several variables, Semi inherited bivariate interpolation, Observations on interpolation by total degree polynomials in two variables, Generalized principal lattices and cubic pencils, Geometric characterization and generalized principal lattices, Configurations of nodes with defects greater than three, The work of Mariano Gasca, Radon's construction and matrix relations generating syzygies, Cubic pencils of lines and bivariate interpolation, Extensions of planar GC sets and Syzygy matrices, Interpolation on lattices generated by cubic pencils, On geometric Lagrange interpolation by quadratic parametric patches, Aitken-Neville sets, principal lattices and divided differences, On the basic properties of GCn sets, Classification of sets satisfying the geometric characterization, On the usage of lines in \(GC_n\) sets, Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices

Cites Work

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• Construction of lattices for Lagrange interpolation in projective space
• Lagrange interpolation on conics and cubics
• Interpolation on lattices generated by cubic pencils
• On Lattices Admitting Unique Lagrange Interpolations