Rule: Q[2, 3, 28]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^5-14\cdot t^3+6\cdot t$
• $P_3$:
  $4\cdot t^{33}-\frac{698492568358167251449774126}{731920585313098339748759}\cdot t^{31}+\frac{657240022528862881909056388207}{6587285267817885057738831}\cdot t^{29}-\frac{79573517733554730166815688400197}{13174570535635770115477662}\cdot t^{27}+\frac{53086809779399742747204235893153}{225206333942491796845772}\cdot t^{25}-\frac{2815792603462840072802797930921575}{450412667884983593691544}\cdot t^{23}+\frac{104259628011825322249806556571921775}{900825335769967187383088}\cdot t^{21}-\frac{2726722453179241400708773447915895325}{1801650671539934374766176}\cdot t^{19}+\frac{50418890049627922435926888445784835075}{3603301343079868749532352}\cdot t^{17}-\frac{653738087220368272409176338360331953225}{7206602686159737499064704}\cdot t^{15}+\frac{5841037283776106711891660906763634025625}{14413205372319474998129408}\cdot t^{13}-\frac{34959311577941753940030323657853442891875}{28826410744638949996258816}\cdot t^{11}+\frac{134277521292479385225611437351493801302875}{57652821489277899992517632}\cdot t^9-\frac{310086668501896173612636021864409855324125}{115305642978555799985035264}\cdot t^7+\frac{387657021039988449995973810264977526241125}{230611285957111599970070528}\cdot t^5-\frac{216899480153462061317271227602400628579375}{461222571914223199940141056}\cdot t^3+\frac{17387912520216136647422070388280314554375}{461222571914223199940141056}\cdot t$

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.