Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements

作者：

Highlights：

• A general approach for computing optimal symmetric quadrature rules on simplexes is identified.

• A new family of optimal symmetric quadrature rules on the 2-simplex (triangle) is identified.

• A new optimal symmetric quadrature rule on the 3-simplex (tetrahedron) is identified.

摘要

•A general approach for computing optimal symmetric quadrature rules on simplexes is identified.•A new family of optimal symmetric quadrature rules on the 2-simplex (triangle) is identified.•A new optimal symmetric quadrature rule on the 3-simplex (tetrahedron) is identified.

论文关键词：Quadrature,Integration,Symmetric,Triangle,Tetrahedron,Simplex

论文评审过程：Received 11 July 2013, Revised 6 January 2014, Available online 24 January 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.01.007