Rule: Q[2, 16]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{18}-\frac{28360558}{100079}\cdot t^{16}+\frac{782908260}{100079}\cdot t^{14}-\frac{1549166190}{14297}\cdot t^{12}+\frac{23133513975}{28594}\cdot t^{10}-\frac{186352072335}{57188}\cdot t^8+\frac{383839210755}{57188}\cdot t^6-\frac{713264827275}{114376}\cdot t^4+\frac{1812051180225}{915008}\cdot t^2-\frac{164923097625}{1830016}$

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.