Numerical integration of squares,cubes etc.

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#270

From: Dr. D. Kidger
Date: Thu, 09 Apr 1992 11:53

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Does anyone have any references to integration formulae for 2d/3d 'squares' 
other than the 'standard' product Gauss rules.
 I have 6,14 and 15 point rules for cubes (range -1--> +1) and a 
'better than 3x3x3 Gauss' 27 point rule for cubes.

In particular what are the optimal sampling points (and weights) for 9
integration points in 2d ?

--------- Dr. Dan Kidger ------ Dept. of Civ Eng. Manchester, UK ---------

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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!mucs!mccuts!mbgapdk
From: mbgapdk@uts.mcc.ac.uk (Dr. D. Kidger)
Newsgroups: sci.math.num-analysis
Subject: Numerical integration of squares,cubes etc.
Message-ID: <4777@mccuts.uts.mcc.ac.uk>
Date: 9 Apr 92 11:53:36 GMT
Organization: Manchester Computing Centre, Oxford Road, Manchester, M13 9PL, England.
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