Rule: Q[2, 5, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^7-\frac{106}{3}\cdot t^5+\frac{215}{3}\cdot t^3-\frac{55}{2}\cdot t$
• $P_3$:
  $4\cdot t^{21}-\frac{2688106283098}{8366928235}\cdot t^{19}+\frac{773543677465973}{75302354115}\cdot t^{17}-\frac{25560655085784887}{150604708230}\cdot t^{15}+\frac{31656511383228823}{20080627764}\cdot t^{13}-\frac{337895198928054677}{40161255528}\cdot t^{11}+\frac{2038824428463371549}{80322511056}\cdot t^9-\frac{2197769740799481849}{53548340704}\cdot t^7+\frac{106564545559525053}{3346771294}\cdot t^5-\frac{496125325162722255}{53548340704}\cdot t^3+\frac{48807023768648145}{107096681408}\cdot t$

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.