triangle_dunavant_rule, a FORTRAN90 code which defines the weights and abscisass for 20 quadrature rules over the interior of a triangle in 2D.
These rules are almost optimal, in the sense that, for each polynomial degree, the number of points used in the rule is close to, or equal to, the theoretical minimum possible value.
A few of the rules include one or two points which are "slightly" outside the triangle; a few of the rules include weights which are negative. Both of these occurrences are generally undesirable.
The computer code and data files described and made available on this web page are distributed under the MIT license
triangle_dunavant_rule is available in a C++ version and a FORTRAN90 version and a MATLAB version
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