Polynomial Interpolation and Approximation of Real Functions 2: Symmetrical Interpolation for the Triangle

Abstract

This is the second paper in a series to discuss the approximation efficacy of polynomial interpolation of functions. In particular, the approximation accuracy depends sensitively on the locations of the interpolation nodes. We address the problem of finding the optimal symmetrical polynomial interpolation schemes for the triangle. The table for the symmetrical mean minimal interpolation sets for the triangle is given in this paper. An adaptive scheme for determining the interpolation order is also presented.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1993
Accession Number
ADA277345

Entities

People

  • Ivo Babuška
  • Qi Chen

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Differential Equations
  • Equations
  • Government (Foreign)
  • Governments
  • Interpolation
  • Mathematics
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Numerical Quadrature
  • Physical Sciences
  • Polynomials
  • Security
  • Standards
  • Systems Engineering
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.