Rule: Q[2, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{20}-\frac{102461303}{282952}\cdot t^{18}+\frac{7451164719}{565904}\cdot t^{16}-\frac{70640397585}{282952}\cdot t^{14}+\frac{1518998116545}{565904}\cdot t^{12}-\frac{37776477764025}{2263616}\cdot t^{10}+\frac{265885539384465}{4527232}\cdot t^8-\frac{496894991077485}{4527232}\cdot t^6+\frac{866285443848825}{9054464}\cdot t^4-\frac{2135714078472975}{72435712}\cdot t^2+\frac{196133364001575}{144871424}$

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.