Minimal Point Cubatures of Precision Seven for Symmetric Planar Regions.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 14, 1972
- Accession Number
- AD0738921
Entities
People
- Richard Franke
Organizations
- Naval Postgraduate School