Rule: Q[1, 4, 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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{19}-\frac{10067}{33}\cdot t^{17}+\frac{2327243}{165}\cdot t^{15}-\frac{6549361}{22}\cdot t^{13}+\frac{6515327}{2}\cdot t^{11}-19095440\cdot t^9+\frac{935949105}{16}\cdot t^7-\frac{2754381357}{32}\cdot t^5+\frac{6473363715}{128}\cdot t^3-\frac{1927283085}{256}\cdot t$

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.