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Near-algebraic Tchakaloff-like quadrature on spherical triangles
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-04-07 , DOI: 10.1016/j.aml.2021.107282
A. Sommariva , M. Vianello

We present a numerical code for the computation of nodes and weights of a low-cardinality positive quadrature formula on spherical triangles, nearly exact for polynomials of a given degree. The algorithm is based on subperiodic trigonometric Gaussian quadrature for planar elliptical sectors and on Caratheodory–Tchakaloff quadrature compression via NNLS.



中文翻译:

球面三角形上的近代数Tchakaloff样求积

我们提供了一个数值代码,用于计算球面三角形上的低基数正整数公式的节点和权重,对于给定阶数的多项式几乎是精确的。该算法基于平面椭圆扇形的次周期三角高斯正交和基于NNLS的Caratheodory-Tchakaloff正交压缩。

更新日期:2021-04-16
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