Resumen de Multivariate polynomial interpolation and meshfree differentiation via undetermined coefficients

J.-M. Belley, P. E. Belley, A. G. R. Day

• 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.