Rule: Q[2, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{14}-\frac{248498}{1555}\cdot t^{12}+\frac{3530769}{1555}\cdot t^{10}-\frac{8883963}{622}\cdot t^8+\frac{50229333}{1244}\cdot t^6-\frac{114812775}{2488}\cdot t^4+\frac{78937551}{4976}\cdot t^2-\frac{6151761}{9952}$

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.