Module laguerre

Numerical integration using the generalized Gauss-Laguerre quadrature rule.

A Gauss-Laguerre rule of degree n has nodes and weights chosen such that it can integrate polynomials of degree 2n-1 exactly with the weighing function w(x, alpha) = x^alpha * e^(-x) over the domain [0, ∞).

Examples

use gauss_quad::laguerre::GaussLaguerre;
use approx::assert_abs_diff_eq;

let quad = GaussLaguerre::new(10, 1.0)?;

let integral = quad.integrate(|x| x.powi(2));

assert_abs_diff_eq!(integral, 6.0, epsilon = 1e-14);

Structs

• GaussLaguerre
  A Gauss-Laguerre quadrature scheme.
• GaussLaguerreError
  The error returned by GaussLaguerre::new if given a degree, deg, less than 2 and/or an alpha of -1 or less.
• GaussLaguerreIntoIter
  An owning iterator over the node-weight pairs of the quadrature rule.
• GaussLaguerreIter
  An iterator over the node-weight pairs of the quadrature rule.
• GaussLaguerreNodes
  An iterator over the nodes of the quadrature rule.
• GaussLaguerreWeights
  An iterator over the weights of the quadrature rule.

Enums

• GaussLaguerreErrorReason
  The reason for the GaussLaguerreError, returned by the GaussLaguerreError::reason function.