 About 16,000 results  books.google.com 
 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 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 (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 Consequently, all PS methods use Gaussian quadrature points. In order to limit
the scope of this paper, we limit our discussions to Gaussian points based on
Legendre polynomials as these polynomials offer elegant theoretical properties
for ... 

 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 Alternatively, one can use for the pressure the (N1)* Legendre Gauss–Lobatto
quadrature nodes internal to the computational domain (see Fig. 4, right); the
incompressibility condition is enforced by a discrete quadrature formula which is
no ... 

 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 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 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 ... 

 