Accession Number:

AD0642916

Title:

TRANSFORMATIONS TO ACCELERATE THE CONVERGENCE OF FOURIER SERIES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1966-07-01

Pagination or Media Count:

58.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE