hexagon_stroud_rule

hexagon_stroud_rule, an Octave code which returns one of four Stroud quadrature rules over the interior of the unit hexagon.

The Stroud rules assume the hexagon has a "flat" top and bottom:

            *   *
          *       *
            *   *
    

Licensing:

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

Languages:

hexagon_stroud_rule is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

hexagon_stroud_rule_test

octave_rule, an Octave 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. Arthur Stroud,
   Approximate Calculation of Multiple Integrals,
   Prentice Hall, 1971.

Source Code:

• comp_next.m, returns the next composition of an integer into K parts.
• hexagon01_area.m, returns the area of the unit hexagon.
• hexagon01_monomial_integral.m, returns the integral of a monomial over the unit hexagon.
• hexagon_stroud_rule1.m, Stroud rule 1.
• hexagon_stroud_rule2.m, Stroud rule 2.
• hexagon_stroud_rule3.m, Stroud rule 3.
• hexagon_stroud_rule4.m, Stroud rule 4.
• moment_unnormalized.m, computes an unnormalized moment of a polygon.
• monomial_value.m, evaluates a monomial.