Increasing the approximation order of the triangular Shepard method

DOI10.1016/j.apnum.2017.12.006zbMath1380.65028OpenAlexW2776888280MaRDI QIDQ1690913

F. Di Tommaso, Francesco Dell'Accio, Benaissa Zerroudi, Otheman Nouisser

Publication date: 12 January 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.12.006

zbMATH Keywords

scattered data interpolationmultivariate polynomial interpolationtriangular Shepard method

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (6)

Rational Hermite interpolation on six-tuples and scattered data ⋮ A unified enrichment approach of the standard three-node triangular element ⋮ Fast and accurate scattered Hermite interpolation by triangular Shepard operators ⋮ On the hexagonal Shepard method ⋮ Modified Shepard's method by six-points local interpolant ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

Uses Software

• QSHEP2D
• Algorithm 792
• Sheppack
• Triangle

Cites Work

• Unnamed Item
• Multi-node higher order expansions of a function.
• Bivariate Shepard-Bernoulli operators
• Multivariate approximation by a combination of modified Taylor polynomials
• On the approximation order of triangular Shepard interpolation
• Algorithm 905
• Shepard--Bernoulli operators
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• Rate of Convergence of Shepard's Global Interpolation Formula
• Scattered Data Interpolation: Tests of Some Method
• Algorithm 790: CSHEP2D
• Algorithm 792
• Expansions over a simplex of real functions by means of Bernoulli polynomials

This page was built for publication: Increasing the approximation order of the triangular Shepard method