 About 18,600 results  books.google.com Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. 

 books.google.com 
 books.google.com We next develop algorithms to compute the Legendre Gauss and GaussLobatto
points and weights. As we saw in Sect. 1.11, the Chebyshev Gauss and Gauss
Lobatto quadrature points and weights are easy to compute. We could use one of
... 

 books.google.com 5.2 Gaussian Quadrature Gaussian quadrature rules are constructed with respect
to specific weight functions. ... GaussLegendre quadrature is special interest
because it is the Gaussian quadrature scheme appropriate for computing the
area ... 

 books.google.com (Binney and Tremaine 1987, p. 654). See also LEGENDRE DIFFERENTIAL
EQUATION, LEGENDRE FUNCTION OF THE FIRST KIND, LEGENDRE
POLYNOMIAL LegendreGauss Quadrature 1731 References Abramowitz, M.
and Stegun ... 

 books.google.com ... 9.1 9.2 9.3 Orthogonal Polynomials Legendre Approximation Laguerre
Approximation Hermite Approximation Chebyshev ... Interpolation Hermite
Quadrature Gaussian Quadrature Legendre—Gauss Quadrature Laguerre
Gauss Quadrature ... 

 books.google.com William T. Vetterling  2002  Preview Numerical integration, or "quadrature", has been treated with some degree of
detail in Numerical Recipes. ... Routine qgaus computes integrals with a tenpoint
GaussLegendre weighting using such coefficients, gauleg, gaulag. gauher and ... 

 books.google.com assuming that y =−1 is included in the set of quadrature points. The weights, vj ,
are given as v j = 1 (N + 1)2 1 − y j [PN(yj)]2 . (5.23) Legendre Gauss quadrature
The Legendre Gauss quadrature points zj are the N + 1 roots of the polynomial ... 

 books.google.com Charles Karr, L. Michael Freeman  1998  Preview In most quadrature methods, the weights are selected to give quality results while
the quadrature nodes are distributed uniformly over the limits of the integral. In
GaussLegendre quadrature, both the quadrature nodes and the weights are ... 

 books.google.com In this section we present three algorithms for Gaussian quadratures. The first
algorithm implements GaussianLegendre quadrature with 10 abscissas and 10
weights tabulated within the VBA code. The second is GaussLegendre
quadrature ... 

 