Rule: Q[2, 16]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{18}-\frac{318937}{47234}\cdot t^{16}+\frac{9281490}{732127}\cdot t^{14}-\frac{272844390}{21231683}\cdot t^{12}+\frac{132075125}{17371377}\cdot t^{10}-\frac{25545611}{9650765}\cdot t^8+\frac{115155586}{221967595}\cdot t^6-\frac{6801938}{133180557}\cdot t^4+\frac{3276767}{1686953722}\cdot t^2-\frac{20605}{1686953722}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.