Integration of polynomials
Paweł Szeptycki (2004)
Applicationes Mathematicae
Similarity:
We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
Displaying similar documents to “Condensation principles with rates”
Integration of polynomials
Pál-type interpolation and quadrature formulae on Laguerre abscissas.
Lénárd, Margit (2004)
Mathematica Pannonica
Similarity:
Construction of cubature formulas by using linear positive operators.
Taşcu, Ioana, Horvat-Marc, Andrei (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Some problems regarding Bernstein polynomials.
Lupaş, Luciana (1998)
General Mathematics
Similarity:
Some applications and numerical methods for orthogonal polynomials
Walter Gautschi (1990)
Banach Center Publications
Similarity:
The Error Norm of Gaussian Quadrature Formulae for Weight Functions of Bernstein-Szegö Type.
Sotirios E. Notaris (1990)
Numerische Mathematik
Similarity:
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type.
Sotirios E. Notaris (1993)
Numerische Mathematik
Similarity:
Suboptimal Kronrod extension formulae for numerical quadrature.
A. Begumisa, Ian Robinson (1990/91)
Numerische Mathematik
Similarity:
Quadrature processes - development and new directions
G. V. Milovanović (2008)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Similarity:
Numerical integration for high order pyramidal finite elements
Nilima Nigam, Joel Phillips (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
We examine the effect of numerical integration on the accuracy of high order conforming pyramidal finite element methods. Non-smooth shape functions are indispensable to the construction of pyramidal elements, and this means the conventional treatment of numerical integration, which requires that the finite element approximation space is piecewise polynomial, cannot be applied. We develop an analysis that allows the finite element approximation space to include non-smooth functions and...