English

RiemCirc: A Generator of Nodes and Weights for Riemann Integration on the Circle

Numerical Analysis 2019-10-29 v2 Numerical Analysis

Abstract

RiemCirc is a C++ program which allocates points inside the unit circle for numerical quadrature on the circle, aiming at homogeneous equidistant distribution. The weights of the quadrature rule are computed by the area of the tiles that surround these nodes. The shapes of the areas are polygonal, defined by Voronoi tessellation.

Keywords

Cite

@article{arxiv.1110.3349,
  title  = {RiemCirc: A Generator of Nodes and Weights for Riemann Integration on the Circle},
  author = {Richard J. Mathar},
  journal= {arXiv preprint arXiv:1110.3349},
  year   = {2019}
}

Comments

Version 2 includes examples of many configurations, omp parallelization of the code, and another run-time option