Rule: Q[4, 15]

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.

• $P_1$:
  $16\cdot t^4-48\cdot t^2+12$
• $P_2$:
  $16\cdot t^{19}-\frac{748536}{667}\cdot t^{17}+\frac{226304664}{7337}\cdot t^{15}-\frac{3155515020}{7337}\cdot t^{13}+\frac{24226003620}{7337}\cdot t^{11}-\frac{9496214910}{667}\cdot t^9+\frac{1965071745}{58}\cdot t^7-\frac{112008278655}{2668}\cdot t^5+\frac{250467132825}{10672}\cdot t^3-\frac{83438061525}{21344}\cdot t$

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.