quadrilateral_witherden_rule


quadrilateral_witherden_rule, a Python code which returns a Witherden quadrature rule, with exactness up to total degree 21, over the interior of a quadrilateral.

The unit quadrilateral has vertices (0,0), (1,0), (1,1), (0,1).

Licensing:

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

Languages:

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

Related Data and Programs:

ccn_rule, a Python code which defines a Clenshaw Curtis Nested (CCN) quadrature rule.

clenshaw_curtis_rule, a Python code which returns a Clenshaw Curtis quadrature rule.

hermite_rule, a Python code which returns a Gauss-Hermite quadrature rule for estimating the integral of a function with density exp(-x^2) over the interval (-oo,+oo).

jacobi_rule, a Python code which returns a Gauss-Jacobi quadrature rule.

laguerre_rule, a Python code which returns a Gauss-Laguerre quadrature rule for estimating the integral of a function with density exp(-x) over the interval [0,+oo).

legendre_rule, a Python code which returns a Gauss-Legendre quadrature rule for estimating the integral of a function with density rho(x)=1 over the interval [-1,+1].

Reference:

  1. Freddie Witherden, Peter Vincent,
    On the identification of symmetric quadrature rules for finite element methods,
    Computers and Mathematics with Applications,
    Volume 69, pages 1232-1241, 2015.

Source Code:


Last revised on 01 May 2023.