triangle_lyness_rule, a MATLAB code which produces the Lyness-Jespersen family of quadrature rules over the interior of a triangle in 2D.
The rules have the following orders (number of points) and precisions (maximum degree of polynomials whose integrals they can compute exactly):
Rule | Order | Precision |
---|---|---|
0 | 1 | 1 |
1 | 3 | 2 |
2 | 4 | 2 |
3 | 4 | 3 |
4 | 7 | 3 |
5 | 6 | 4 |
6 | 10 | 4 |
7 | 9 | 4 |
8 | 7 | 5 |
9 | 10 | 5 |
10 | 12 | 6 |
11 | 16 | 6 |
12 | 13 | 6 |
13 | 13 | 7 |
14 | 16 | 7 |
15 | 16 | 8 |
16 | 21 | 8 |
17 | 16 | 8 |
18 | 19 | 9 |
19 | 22 | 9 |
20 | 27 | 11 |
21 | 28 | 11 |
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
triangle_lyness_rule is available in a C++ version and a FORTRAN90 version and a MATLAB version.
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