Two formulas are exhibited for the multivariate Lagrange shape polynomials which interpolate a regular grid on a simplex in R".

The Padua points are a family of points on the square [−1, 1] given by explicit formulas that admits unique Lagrange interpolation by bivariate polynomials. Interpolation polynomials and cubature formulas based on the Padua points are studied from an ideal theoretic point of view, which leads to the discovery of a compact formula for the interpolation polynomials. The L convergence of the inter...

Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form p with w > 1. Our formulas are given in terms of partial Bell polynomials and rely on the inversion formula of Lagrange. Résumé. Donné un nombre premier impair p, nous donnons une factorisation explicite sur l...

abstract We present a uniied framework for most of the known and a few new evaluation algorithms for multivariate polynomials expressed in a wide variety of bases including the B ezier, multinomial (or Taylor), Lagrange and Newton bases. This uniication is achieved by considering evaluation algorithms for multivariate polynomials expressed in terms of L-bases, a class of bases that include the ...

the gravity recovery and climate experiment (grace), twin satellites launched in march 2002, are making detailed measurements of the earth's gravity field. it will yield discoveries about gravity and the earth's natural systems. different sensors and instruments have been placed in the grace satellites to fulfill the primary scientific objective of the mission in mapping the earth’s g...

In this paper is presented a parallel algorithm for computing a Lagrange interpolation on a Extended Fibonacci Cube EFC 1(n).The algorithm consists of three phases: initialisation phase, main phase in wich the Lagrange polynomials are computed and final phase in wich the terms of the interpolation formula are added together.

The aim of this paper is to study the Lagrange multivariate interpolation problems in the space of polynomials of w-degree n. Some new results concerning the polynomial spaces of w-degree n are given. An algorithm for obtaining the w-minimal interpolation space is presented. Key–Words: Lagrange multivariate polynomial interpolation, whomogeneous polynomial spaces, Generalize degree.

We analyze stabilized mixed hp-boundary element methods for frictional contact problems for the Lamé equation. The stabilization technique circumvents the discrete inf-sup condition for the mixed problem and thus allows us to use the same mesh and polynomial degree for the primal and dual variables. We prove a priori convergence rates in the case of Tresca friction, using Gauss-Legendre-Lagrang...