Rule: Q[3, 10]

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.

• $P_1$:
  $8\cdot t^3-12\cdot t$
• $P_2$:
  $8\cdot t^{13}-\frac{629}{2}\cdot t^{11}+\frac{17435}{4}\cdot t^9-\frac{105435}{4}\cdot t^7+\frac{557865}{8}\cdot t^5-\frac{2248785}{32}\cdot t^3+\frac{1133055}{64}\cdot t$

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.