ON THE ACCURACY OF THE COEFFICIENTS IN A SERIES OF SPHERICAL HARMONICS.

Abstract

The accuracy of the coefficients of a development in a series of spherical harmonics is investigated. Usually the coefficients are determined by numerical integration. Therefore, the surface of the sphere is divided into small surface elements and the mean value of the function for each surface element is estimated. Two sources of error are distinguished: (1) Representation error. This is the error of the estimation of the mean value of the function for each surface element. (2) Integration error. This is the error caused by the replacement of the integral by a numerical integration. Both errors are separately investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0605359

Entities

People

  • G. L. Strang Van Hees

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Errors
  • Functions (Mathematics)
  • Harmonics
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Spherical Harmonics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.