Quadrature rules

The online encylopedia of quadrature rules is a reference website that lists quadrature rules on a range of domains.

Quadrature rules are sets of points and weights that are used to approximate integrals. If ${p_0,\dots,p_{n-1}}\subset\mathbb{R}^d$ and ${w_0,\dots,w_{n-1}}\subset\mathbb{R}$ are the points and weights (repectively) of the quadrature rule for a single integral, then:

$$\int f(x),\mathrm{d}x \approx \sum_{i=0}^{n-1}f(p_i)w_i$$

Website

Before building the online encylopedia of quadrature rules, you must first install qrtools from the python directory:

cd python
python3 -m pip install .

The online encylopedia of quadrature rules website can then be built by running:

cd website
python3 build.py

Libraries

All of the quadrature rules included in the online encylopedia of quadrature rules are included in the quadraturerules library, which is available in the following languages:

Language	Badges
C
C++
Fortran
FORTRAN 77
Julia
Python
Rust

Before building any of the libraries, you must first install qrtools from the python directory:

cd python
python3 -m pip install .

You can then build the libraries using the build.py script in the library directory. For example, to build the python library, you can run:

cd library
python build.py python

and to build the rust library, you can run:

cd library
python build.py rust