Minimal point cubatures of precision seven for symmetric planar regions
By: by Richard Franke
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1972
Place of publication: Monterey, California
Language: eng
Number of pages: 29
Subjects: Multiple integrals
Description: 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.
Notes: Title from cover.

Sponsoring military activity: Foundation Research Program, Naval Postgraduate School.

"14 February 1972"--Cover.

"NPS-53FE72021A"--Cover.

DTIC Identifiers: Orthogonal functions, planar functions, cubature.

Author(s) subject terms:  Minimal point cubature, cubature, planar region, plynomial precision, orthogonal polynomials, symmetric region.

Includes bibliographical references (p. 25)

"Approved for public release; distribution unlimited"--Cover.

Technical report; July 1972.

ck/ 8/19/09.