TRANSFORMATIONS TO ACCELERATE THE CONVERGENCE OF FOURIER SERIES.

Abstract

The paper offers a comparative review of methods for accelerating the numerical convergence of Fourier series. The various reasons for which Fourier series either diverge or converge sufficiently slowly to render them useless for computation are discussed and where possible an appropriate convergence acceleration transformation is prescribed. Particular emphasis is placed upon the use of continued fractions, which appears at the same time to have the widest domain of application and to be the most powerful general method available. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0642916

Entities

People

  • P. Wynn

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computations
  • Convergence
  • Fourier Analysis
  • Fourier Series
  • Mathematical Analysis
  • Mathematics
  • Motion
  • Physical Properties

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Systems Analysis and Design