Rule: Q[3, 12]

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.

• $P_1$:
  $8\cdot t^3-4\cdot t$
• $P_2$:
  $8\cdot t^{15}-28\cdot t^{13}+39\cdot t^{11}-\frac{55}{2}\cdot t^9+\frac{165}{16}\cdot t^7-\frac{63}{32}\cdot t^5+\frac{21}{128}\cdot t^3-\frac{1}{256}\cdot t$

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.