Accession Number:

AD0742221

Title:

On the Removal of Singularities in Multiple Integrals by Partial Substitution,

Descriptive Note:

Corporate Author:

BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1972-04-01

Pagination or Media Count:

15.0

Abstract:

Standard quadrature methods for multiple integrals cannot take into account singularities of the integrand. Efficient numerical integration of convergent improper integrals requires essentially a replacement of the given integral by an equivalent proper integral. A method for such replacement, which makes use of a theorem by Ostrowski, is described and applied to an example that arose in lattice dynamics. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE