Rule: Q[10, 11]

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.

• $P_1$:
  $1024\cdot t^{10}-2304\cdot t^8+1792\cdot t^6-560\cdot t^4+60\cdot t^2-1$
• $P_2$:
  $1024\cdot t^{21}-5120\cdot t^{19}+10944\cdot t^{17}-13056\cdot t^{15}+9520\cdot t^{13}-4368\cdot t^{11}+\frac{5005}{4}\cdot t^9-\frac{429}{2}\cdot t^7+\frac{1287}{64}\cdot t^5-\frac{55}{64}\cdot t^3+\frac{11}{1024}\cdot t$

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.