Rule: Q[1, 4, 18]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{23}-\frac{154028215}{706483}\cdot t^{21}+\frac{97087532397}{9890762}\cdot t^{19}-\frac{4731252474717}{19781524}\cdot t^{17}+\frac{68761624678713}{19781524}\cdot t^{15}-\frac{177206450154795}{5651864}\cdot t^{13}+\frac{2002761859364955}{11303728}\cdot t^{11}-\frac{13977365164145955}{22607456}\cdot t^9+\frac{115420594516104735}{90429824}\cdot t^7-\frac{257825863066755555}{180859648}\cdot t^5+\frac{259058096034598575}{361719296}\cdot t^3-\frac{74457659847574575}{723438592}\cdot t$

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.