Rule: Q[2, 3, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^5-14\cdot t^3+6\cdot t$
• $P_3$:
  $4\cdot t^{29}-\frac{587008710409160576659102}{829570297882516527293}\cdot t^{27}+\frac{44457440150973753657746208}{829570297882516527293}\cdot t^{25}-\frac{1897582493636634464346907575}{829570297882516527293}\cdot t^{23}+\frac{18395770014616372306411917825}{301661926502733282652}\cdot t^{21}-\frac{641917168208195722603803492975}{603323853005466565304}\cdot t^{19}+\frac{7472939787734216524633678981725}{603323853005466565304}\cdot t^{17}-\frac{58156793824487475077480855690775}{603323853005466565304}\cdot t^{15}+\frac{2391230172076488456036847814453625}{4826590824043732522432}\cdot t^{13}-\frac{15818354765348533415077536257110875}{9653181648087465044864}\cdot t^{11}+\frac{16148578891773214629226488035406375}{4826590824043732522432}\cdot t^9-\frac{76519742086920639174046233826096125}{19306363296174930089728}\cdot t^7+\frac{191887681368368217566498305930527375}{77225453184699720358912}\cdot t^5-\frac{109350010828228492423578956203895625}{154450906369399440717824}\cdot t^3+\frac{9776463909000717433650398060023125}{154450906369399440717824}\cdot t$

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.