gauss-quadrature

This library computes Gauss-Legendre quadrature points and weights for numerical integration. For more information, see:

• http://pomax.github.io/bezierinfo/legendre-gauss.html

Example

var gaussQ = require("gauss-quadrature")
 
console.log(gaussQ(2))
 
//Prints:
//
//  [ [ -0.5773502691896257, 0.5773502691896257 ], [ 1, 1 ] ]
//

Install

npm install gauss-quadrature

require("gauss-quadrature")(n[, a, b])

Computes the Gaussian quadrature points and weights for the interval [a, b].

• n is the number of quartature points
• a is the start of the interval (default -1)
• b is the end of the interval (default +1)

If either a or b is unspecified, the interval defaults to [-1, 1]

Returns An array with two elements, [x, w] where:

• x is the list of quadrature points
• w is the list of quadrature weights

Note

Quadrature points are only accurate to 1e-6

Credits

(c) 2013 Mikola Lysenko. MIT License