Rule: Q[2, 10]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{12}-\frac{3091}{728}\cdot t^{10}+\frac{61875}{13832}\cdot t^8-\frac{36135}{16796}\cdot t^6+\frac{7755}{16796}\cdot t^4-\frac{15543}{436696}\cdot t^2+\frac{189}{436696}$

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.