Accession Number : AD0742221

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

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Egerland,Walter O.

Report Date : APR 1972

Pagination or Media Count : 15

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)

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL INTEGRATION), CONVERGENCE, NUMERICAL ANALYSIS, CRYSTAL LATTICES, VIBRATION

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE