Multivariate polynomial interpolation and meshfree differentiation via undetermined coefficients

• Autores: J.-M. Belley, P. E. Belley, A. G. R. Day
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 239, Nº 1, 2013, págs. 415-430
• Idioma: inglés
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• Resumen

  • 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.