Remarks on Newton type multivariate interpolation for subsets of grids

DOI10.1007/BF02259644zbMath0419.65005OpenAlexW2629360MaRDI QIDQ1132489

Helmut Werner

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259644

zbMATH Keywords

error estimatesfinite element methodprogramNewton type multivariate interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (21)

Error formulas for Lagrange projectors determined by Cartesian sets ⋮ Multivariate Padé approximation ⋮ Multivariate polynomial interpolation under projectivities. III: Remainder formulas ⋮ A bibliography of the works of Prof. Dr. H. Werner ⋮ Solvability problems of bivariate interpolation I ⋮ Lagrange multivariate polynomial interpolation: a random algorithmic approach ⋮ On multivariate interpolation by generalized polynomials on subsets of grids ⋮ Uniform bivariate Hermite interpolation I: Coordinate degree ⋮ Generalized Biermann interpolation ⋮ Nodal bases for the serendipity family of finite elements ⋮ Multi-point evaluation in higher dimensions ⋮ On Lagrange and Hermite interpolation in \(R^ k\). ⋮ Error formulas for multivariate rational interpolation and Padé approximation ⋮ Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas ⋮ Multivariate polynomial interpolation on lower sets ⋮ Lagrange interpolation on subgrids of tensor product grids ⋮ On the computation of determinants arising in some bivariate rational interpolation problems ⋮ Multivariate Polynomial Interpolation in Newton Forms ⋮ General order Newton-Padé approximants for multivariate functions ⋮ Interpolation systems in \(R^ k\) ⋮ Multivariate rational interpolation

Cites Work

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• A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
• Some Families of Finite Elements

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