Rule: Q[6, 13]

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.

• $P_1$:
  $64\cdot t^6-480\cdot t^4+720\cdot t^2-120$
• $P_2$:
  $64\cdot t^{19}-\frac{24032}{5}\cdot t^{17}+141848\cdot t^{15}-\frac{14881212}{7}\cdot t^{13}+\frac{122365542}{7}\cdot t^{11}-\frac{557745045}{7}\cdot t^9+\frac{2718773343}{14}\cdot t^7-\frac{925925715}{4}\cdot t^5+\frac{898474005}{8}\cdot t^3-\frac{227548035}{16}\cdot t$

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.