gives a list of the n pairs of the elementary n-point Gaussian formula for quadrature on the interval a to b, where is the weight of the abscissa .
attempts to give a result with prec digits of precision.
- To use GaussianQuadratureWeights, you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"].
- Gaussian quadrature approximates the value of an integral as a linear combination of values of the integrand evaluated at optimal abscissas : .
- The abscissas are optimal in the sense that the quadrature formula is exact for all polynomials up to degree .