triangle_twb_rule

triangle_twb_rule, a FORTRAN90 library which generates the points and weights of quadrature rules over the interior of a triangle in 2D, determined by Taylor, Wingate, and Bos.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

triangle_twb_rule is available in a C version and a C++ version and a FORTRAN90 version.

Related Data and Programs:

TRIANGLE_FEKETE_RULE, a FORTRAN90 library which defines Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.

triangle_felippa_rule, a FORTRAN90 library which returns Felippa's quadratures rules for approximating integrals over the interior of a triangle in 2D.

TRIANGLE_NCC_RULE, a FORTRAN90 library which defines Newton-Cotes Closed (NCC) quadrature rules over the interior of a triangle in 2D.

TRIANGLE_NCO_RULE, a FORTRAN90 library which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a triangle in 2D.

TRIANGLE_SYMQ_RULE, a FORTRAN90 library which returns efficient symmetric quadrature rules, with exactness up to total degree 50, over the interior of an arbitrary triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.

triangle_twb_rule_test

Reference:

1. Rouben Rostamian,
   Programming Projects in C for Students of Engineering, Science, and Mathematics,
   SIAM, 2014,
   ISBN:978-1-611973-49-5,
   LC: Q183.9R67.
2. Mark Taylor, Beth Wingate, Len Bos,
   Several new quadrature formulas for polynomial integration in the triangle,
   http://arxiv.org/abs/math/0501496v2,
   08 February 2007.

Source Code:

• triangle_twb_rule.f90, the source code.
• triangle_twb_rule.sh, compiles the code.