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A fourth-order seven-point cubature on regular hexagons

Published online by Cambridge University Press:  01 April 2016

Daniel Lee
Affiliation:
Department of Applied Mathematics, Tunghai University, Taichung 40704, Taiwan email [email protected]
Hui-Chun Tien
Affiliation:
Department of Financial and Computational Mathematics, Providence University, Taichung 40704, Taiwan email [email protected]

Abstract

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We investigate the central moments of (regular) hexagons and derive accordingly a discrete approximation to definite integrals on hexagons. The seven-point cubature rule makes use of interior and neighbor center nodes, and is of fourth order by construction. The result is expected to be useful in two-dimensional (open-field) applications of integral equations or image processing.

Type
Research Article
Copyright
© The Author(s) 2016 

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