Bivariate Shepard-Bernoulli operators

DOI10.1016/j.matcom.2017.07.002OpenAlexW1713015911MaRDI QIDQ2229116

F. Di Tommaso, Francesco Dell'Accio

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2017.07.002

zbMATH Keywords

degree of exactnessscattered data interpolationmultivariate polynomial interpolationcombined Shepard operatormodified Shepard operator

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (5)

Rational Hermite interpolation on six-tuples and scattered data ⋮ Increasing the approximation order of the triangular Shepard method ⋮ A unified enrichment approach of the standard three-node triangular element ⋮ On the hexagonal Shepard method ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

Uses Software

• QSHEP2D
• Algorithm 792

Cites Work

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• Enhancing the approximation order of local Shepard operators by Hermite polynomials
• Complementary Lidstone interpolation on scattered data sets
• Raising the approximation order of multivariate quasi-interpolants
• Error estimates for modified local Shepard's interpolation formula
• New bivariate polynomial expansion with boundary data on the simplex
• The bivariate Shepard operator of Bernoulli type
• A triangle-based \(C^ 1\) interpolation method
• Multi-node higher order expansions of a function.
• Lidstone approximation on the triangle
• On the bivariate Shepard-Lidstone operators
• Multivariate approximation by a combination of modified Taylor polynomials
• On the approximation order of triangular Shepard interpolation
• Shepard--Bernoulli operators
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• Rate of Convergence of Shepard's Global Interpolation Formula
• Smooth interpolation of large sets of scattered data
• Shepard's Method of "Metric Interpolation" to Bivariate and Multivariate Interpolation
• Algorithm 790: CSHEP2D
• Algorithm 792
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• Scattered Data Approximation
• Expansion over a rectangle of real functions in Bernoulli polynomials and applications
• Expansions over a simplex of real functions by means of Bernoulli polynomials

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