Accession Number : AD0747055

Title :   Near Minimum Quadrature Formulas over Fully Symmetric Planar Regions.

Descriptive Note : Technical rept. Jun 68-Jun 71,

Corporate Author : AIR FORCE WEAPONS LAB KIRTLAND AFB N MEX

Personal Author(s) : Huelsman,Charles B. , III

Report Date : APR 1972

Pagination or Media Count : 57

Abstract : The nonexistence of 10-point 7th-degree quadrature formulas over fully symmetric regions is proven. Two 13-point, 7th-degree quadrature formulas over such regions are presented. First can be a 12-point quadrature formula if a condition is satisfied. The second can be also if another condition is satisfied. Five quadrature formulas of 3rd and 5th degree are extended to fully symmetric regions. (Author)

Descriptors :   (*NUMERICAL INTEGRATION, NUMERICAL ANALYSIS), (*NUMERICAL ANALYSIS, THEOREMS), INTEGRALS, INEQUALITIES, POLYNOMIALS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE