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Quadratures for smooth functions in two and three dimensions

We have developed high-order quadratures for smooth functions on squares, triangles, cubes, and tetrahedra.

A set of Fortran routines, release notes, and documentation are provided in the ZIP file below.

  • Download ZIP file (April 27, 2012): ZIP file
  • Technical paper by H. Xiao and Z. Gimbutas, A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions, Computers and Mathematics with Applications, 59 (2009), pp. 663-676.
  • This work was supported in part by the National Science Foundation under grant DMS-051609, in part by AFOSR undier MURI contract FA9550-06-1-0337, and in part by a research grant from Meyer Sound. .
  • Bug reports, comments: for the moment, please send to Z. Gimbutas (gimbutas [at] cims.nyu.edu)