On multivariate interpolation by generalized polynomials on subsets of grids

DOI10.1007/BF02251249zbMath0656.65007MaRDI QIDQ1110233

Günter W. Mühlbach

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

multivariate interpolationdivided differencesrectangular gridsNewton's interpolation formulatwo-dimensional interpolation

Mathematics Subject Classification ID

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

Related Items (9)

Error formulas for Lagrange projectors determined by Cartesian sets ⋮ Nodal bases for the serendipity family of finite elements ⋮ Multi-point evaluation in higher dimensions ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas ⋮ Multivariate polynomial interpolation on lower sets ⋮ A unified approach to evaluation algorithms for multivariate polynomials ⋮ On interpolation by rational functions with prescribed poles with applications to multivariate interpolation ⋮ On the solvability of bivariate Hermite-Birkhoff interpolation problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation systems in \(R^ k\)
• Solvability problems of bivariate interpolation I
• Linear extrapolation by rational functions, exponentials and logarithmic functions
• Remarks on Newton type multivariate interpolation for subsets of grids
• The general Neville-Aitken-algorithm and some applications
• The general recurrence relation for divided differences and the general Newton-interpolation-algorithm. With applications to trigonometric interpolation
• On Lagrange and Hermite interpolation in \(R^ k\).
• Interpolation by Cauchy-Vandermonde systems and applications
• Computation of rational interpolants with prescribed poles
• A recurrence formula for generalized divided differences and some applications
• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• The mühlbach-neville-aitken algorithm and some extensions
• Newton‐ und Hermite‐Interpolation mit Čebyšev‐Systemen

This page was built for publication: On multivariate interpolation by generalized polynomials on subsets of grids