Accession Number : AD0666192

Title :   ERROR ESTIMATES FOR ASYMPTOTIC REPRESENTATIONS OF INTEGRALS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Mahony,John J.

Report Date : AUG 1967

Pagination or Media Count : 25

Abstract : Minimum errors of asymptotic expansions of integrals taken between the limits a, b, of the quantity (exp(kg(u)) f(u) du) for large positive values of k, achievable by appropriate curtailment of the expansions are considered.

Descriptors :   (*INTEGRALS, NUMERICAL ANALYSIS), SERIES(MATHEMATICS), FUNCTIONS(MATHEMATICS), EXPONENTIAL FUNCTIONS, CONVERGENCE, STEEPEST DESCENT METHOD, MAPPING(TRANSFORMATIONS), APPROXIMATION(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE