Review of Some Approximation Operators for the Numerical Analysis of Spectral Methods

Abstract

This paper reviews some operators that are used in the numerical analysis of spectral and spectral element methods. We motivate the introduction of these different operators and sketch their approximation properties. Finally we apply them to derive optimal error estimates for spectral type approximations of the solution of elliptic partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011999

Entities

People

  • Yvon Maday

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Hilbert Space
  • Inequalities
  • Interpolation
  • Numbers
  • Numerical Analysis
  • Numerical Integration
  • Numerical Quadrature
  • Partial Differential Equations
  • Polynomials
  • Real Numbers
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Spectroscopy.
  • Theoretical Analysis.