Rule: Q[7, 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.

• $P_1$:
  $128\cdot t^7-1344\cdot t^5+3360\cdot t^3-1680\cdot t$
• $P_2$:
  $128\cdot t^{19}-\frac{141824}{17}\cdot t^{17}+\frac{3605808}{17}\cdot t^{15}-\frac{46240440}{17}\cdot t^{13}+\frac{323646180}{17}\cdot t^{11}-\frac{1252495530}{17}\cdot t^9+\frac{2593221345}{17}\cdot t^7-\frac{5249048805}{34}\cdot t^5+\frac{4234455225}{68}\cdot t^3-\frac{46621575}{8}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.