Cubic pencils of lines and bivariate interpolation

DOI10.1016/j.cam.2007.05.017zbMath1151.41001OpenAlexW1975124243MaRDI QIDQ935794

J. M. Carnicer, Mariano Gasca

Publication date: 8 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.017

zbMATH Keywords

bivariate polynomial interpolationcubic pencils of linesgeneralized principal lattices

Mathematics Subject Classification ID

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

Related Items (2)

On sets defining few ordinary lines ⋮ Scattered data interpolation based upon bivariate recursive polynomials

Cites Work

• Construction of lattices for Lagrange interpolation in projective space
• Interpolation lattices in several variables
• Geometric characterization and generalized principal lattices
• Generation of lattices of points for bivariate interpolation
• Interpolation on lattices generated by cubic pencils
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Generalized principal lattices and cubic pencils
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