Minimal point cubatures of precision seven for symmetric planar regions
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Authors
Franke, Richard H.
Subjects
Advisors
Date of Issue
1972-02-14
Date
2/14/1972
Publisher
Monterey, California. Naval Postgraduate School
Language
eng
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
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-53FE72021A
Sponsors
Naval Postgraduate School, Monterey, CA
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.