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Roots of Legendre Polynomials in Quadrature by a.rahman.kamran.2002 is a document available to read on EtoBox.
What is Roots of Legendre Polynomials in Quadrature about?
The document describes Gaussian quadrature, which approximates integrals of the form ∫f(x)dx from -1 to 1. It does this by representing the integral as a weighted sum of function values at specific points, where the points are roots of Legendre polynomials and the weights are calculated analytically. The approximation becomes exact when f is a polynomial of degree less than 2n-1, where n is the number of quadrature points. The error in the approximation decreases rapidly for smooth functions as n increases.
- Author
- a.rahman.kamran.2002
- Language
- EN