Multivariate polynomial interpolation and meshfree differentiation via undetermined coefficients

Authors:
J. -M. Belley;P. E. Belley;A. G. R. Day
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 9
Cited 0

Particle approximation of first order systems

Journal of Computational Mathematics
Local derivative estimation for scattered data interpolation

Applied Mathematics and Computation
Algorithm 792: accuracy test of ACM algorithms for interpolation of scattered data in the plane

ACM Transactions on Mathematical Software (TOMS)
Spectral methods in MatLab

Spectral methods in MatLab
Aitken-Neville sets, principal lattices and divided differences

Journal of Approximation Theory
Meshfree Approximation Methods with MATLAB

Meshfree Approximation Methods with MATLAB
Polynomial function and derivative approximation of Sinc data

Journal of Complexity
Approximation to the k-th derivatives by multiquadric quasi-interpolation method

Journal of Computational and Applied Mathematics
Notes: Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices

Journal of Approximation Theory

Quantified Score

Hi-index	7.29

Visualization

Abstract

Using undetermined coefficients, we develop a meshfree method to approximate partial derivatives of a multivariate real function from data on a finite set of possibly disordered base points satisfying a natural condition which always holds true in the one dimensional case. The method yields a generalization of Lagrange's interpolation polynomial and a recursive formula different from Neville's algorithm.