Accession Number : AD0738921

Title :   Minimal Point Cubatures of Precision Seven for Symmetric Planar Regions.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Franke,Richard

Report Date : 14 FEB 1972

Pagination or Media Count : 29

Abstract : A method of constructing 12 point cubature formulas with polynomial precision seven is given for planar regions and weight functions which are symmetric in each variable. If the nodes are real the weights are positive. For any fully symmetric region, or any region which is the product of symmetric intervals, it is shown that infinitely many 12 point formulas exist, and that these formulas use the minimum number of points. (Author)

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

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE