Rule: Q[4, 24]

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.

• $P_1$:
  $16\cdot t^4-48\cdot t^2+12$
• $P_2$:
  $16\cdot t^{28}-\frac{2523047472776304}{940591458163}\cdot t^{26}+\frac{902543374997804412}{4702957290815}\cdot t^{24}-\frac{36256400699424758856}{4702957290815}\cdot t^{22}+\frac{129391622233848350937}{671851041545}\cdot t^{20}-\frac{420886151117588786751}{134370208309}\cdot t^{18}+\frac{18151565083369290986589}{537480833236}\cdot t^{16}-\frac{32432593967221283568117}{134370208309}\cdot t^{14}+\frac{2421145352144795671180071}{2149923332944}\cdot t^{12}-\frac{7145941347013290586706799}{2149923332944}\cdot t^{10}+\frac{50642106190589588949311895}{8599693331776}\cdot t^8-\frac{24744171978392477008232835}{4299846665888}\cdot t^6+\frac{92394431884730763772119135}{34398773327104}\cdot t^4-\frac{15497236204866967370925105}{34398773327104}\cdot t^2+\frac{1582471480254088007038455}{137595093308416}$

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.