Rule: Q[2, 6, 9]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^8-7\cdot t^6+\frac{15}{4}\cdot t^4-\frac{5}{8}\cdot t^2+\frac{1}{64}$
• $P_3$:
  $4\cdot t^{17}-16\cdot t^{15}+\frac{105}{4}\cdot t^{13}-\frac{91}{4}\cdot t^{11}+\frac{715}{64}\cdot t^9-\frac{99}{32}\cdot t^7+\frac{231}{512}\cdot t^5-\frac{15}{512}\cdot t^3+\frac{9}{16384}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.