Error Estimates for Gaussian Quadrature and Weighted-L1 Polynomial Approximation.

Abstract

Error estimates for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L polynomial approximation problem which is treated in a more general context than that specifically required to estimate the Gaussian quadrature error.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA110478

Entities

People

  • L. Ridgway Scott
  • Ronald A. Devore

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Chebyshev Polynomials
  • Contracts
  • Equations
  • Errors
  • Gaussian Quadrature
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Nuclear Engineering
  • Numerical Analysis
  • Polynomials
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)