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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Cubature formulas of degree nine for symmetric planar regions


Authors: Robert Piessens and Ann Haegemans
Journal: Math. Comp. 29 (1975), 810-815
MSC: Primary 65D30
DOI: https://doi.org/10.1090/S0025-5718-1975-0368393-5
MathSciNet review: 0368393
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Abstract: A method of constructing 19-point cubature formulas with degree of exactness 9 is given for two-dimensional regions and weight functions which are symmetric in each variable. For some regions, e.g., the square and the circle, these formulas can be reduced to 18-point formulas.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1975-0368393-5
Keywords: Approximate integration, cubature formula, degree of exactness, planar region, orthogonal polynomials
Article copyright: © Copyright 1975 American Mathematical Society