A fourth-order seven-point cubature on regular hexagons

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2016-01-01 DOI:10.1112/S146115701600005X

Daniel Lee, H. Tien

引用次数: 1

Abstract

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.

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正六边形上的一个四阶七点立方体

我们研究了(正)六边形的中心矩，并由此导出了六边形上定积分的离散逼近。七点定则利用了内部和邻近的中心节点，构造为四阶定则。该结果有望在二维(开放场)积分方程或图像处理应用中发挥作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.