Quadrature rules for regions having regular hexagonal symmetry

Journal Article · Fri Apr 01 04:00:00 EST 1977 · SIAM J. Numer. Anal.; (United States)

DOI:https://doi.org/10.1137/0714018· OSTI ID:5438434

Lyness, J N ^[1]; Monegato, G

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1. Argonne National Lab., IL

D/sub 6/-quadrature rules for D/sub 6/-regions are investigated. These are two-dimensional rules and regions which have the same symmetry as the regular hexagon. A variant formulation of the standard moment fitting equations is derived. A set of quadrature rules for the hexagon of polynomial degree up to 15 is derived from the solution of these equations. In addition, the same approach yields the corresponding rules for the circle and for two infinite regions, those having weight function e/sup -r2/ and e/sup -r/. A few of these rules, those which represent marginal improvements on rules similarly specified by Stroud (Approximate Calculation of Multiple Integrals, Prentice-Hall, Englewood Cliffs, NJ (1971)), are also listed. 3 tables.

• OSTI ID: 5438434
• Journal Information: SIAM J. Numer. Anal.; (United States), Journal Name: SIAM J. Numer. Anal.; (United States) Vol. 14:2; ISSN SJNAA
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
CONFIGURATION
HEXAGONAL CONFIGURATION
QUADRATURES
TWO-DIMENSIONAL CALCULATIONS