cube_arbq_rule


cube_arbq_rule, a Fortran90 code which returns quadrature rules, with exactness up to total degree 15, over the interior of a cube in 3D, by Hong Xiao and Zydrunas Gimbutas.

The original source code, from which this code was developed, is available from the Courant Mathematics and Computing Laboratory, at https://www.cims.nyu.edu/cmcl/quadratures/quadratures.html ,

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

cube_arbq_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

cube_arbq_rule_test

f90_rule, a Fortran90 code which computes a quadrature rule which estimates the integral of a function f(x), which might be defined over a one dimensional region (a line) or more complex shapes such as a circle, a triangle, a quadrilateral, a polygon, or a higher dimensional region, and which might include an associated weight function w(x).

Reference:

  1. Hong Xiao, Zydrunas Gimbutas,
    A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions,
    Computers and Mathematics with Applications,
    Volume 59, 2010, pages 663-676.

Source Code:


Last revised on 12 June 2020.