Rule: Q[2, 14]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{16}-\frac{935281}{4314}\cdot t^{14}+\frac{38001691}{8628}\cdot t^{12}-\frac{245286041}{5752}\cdot t^{10}+\frac{2383796415}{11504}\cdot t^8-\frac{11245499265}{23008}\cdot t^6+\frac{22854346515}{46016}\cdot t^4-\frac{15081381315}{92032}\cdot t^2+\frac{1321665345}{184064}$

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.