Approximation Error Maps

Abstract

In order to analyze the accuracy of a fixed, finite-dimensional approximation space which is not uniform over its domain Omega, we define approximation error map, a description of how the error is distributed over Omega-not for a single test function but for a general class of such functions. We show how to compute such a map from the best approximations to an orthonormal basis of the target function space.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013756

Entities

People

  • A. Gomide
  • J. Stolfi

Organizations

  • University of Campinas

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Continuity
  • Error Analysis
  • Errors
  • Frequency
  • Geometry
  • Harmonics
  • Integrals
  • Intervals
  • Notation
  • Polynomials
  • Rotation
  • Spherical Harmonics
  • Technical Information Centers
  • Vector Spaces

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space