square_symq_rule


square_symq_rule, a MATLAB code which returns symmetric quadrature rules, with exactness up to total degree 20, over the interior of the unit square, by Hong Xiao and Zydrunas Gimbutas.

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

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

square_symq_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and a Octave version and a Python version.

Related Data and Programs:

square_symq_rule_test

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tetrahedron_arbq_rule, a MATLAB code which returns quadrature rules, with exactness up to total degree 15, over the interior of a tetrahedron in 3d, by Hong Xiao and Zydrunas Gimbutas.

tetrahedron_felippa_rule, a MATLAB code which returns a Felippa quadrature rule over the interior of a tetrahedron.

triangle_fekete_rule, a MATLAB code which defines a Fekete rule for quadrature or interpolation over the interior of a triangle in 2d.

triangle_felippa_rule, a MATLAB code which returns a Felippa quadrature rule for approximating integrals over the interior of a triangle in 2d.

triangle_symq_rule, a MATLAB code which returns symmetric quadrature rules, with exactness up to total degree 50, over the interior of a triangle in 2d, by Hong Xiao and Zydrunas Gimbutas.

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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 08 June 2023.