The Converging Factors for the Sine and Cosine Integrals

Abstract

The theory of the converging factors for the sine and cosine integrals is developed and then applied to the calculation on a CDC 6700 system of tables of these factors and their reduced derivatives to about 35 decimal places. The factors are then used in conjunction with appropriately truncated asymptotic series to produce tables of si(x), Si(x), and Ci(x) to 28 decimals by a computer program, for successive integer values of x ranging from 1 to 70, inclusive. Interpolation in the tables by Taylor series is illustrated by numerical examples, which include a new, extended calculation of the Gibbs constant.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0758642

Entities

People

  • David W Taylor
  • John W. Wrench Jr.
  • Vicki Alley

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Asymptotic Series
  • Classification
  • Coefficients
  • Computational Science
  • Computations
  • Computer Programs
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fourier Series
  • Integrals
  • Marine Engineering
  • Maryland
  • Mathematics
  • Model Basins
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.