 About 5,690 results  books.google.com 7.1.2 LaguerreGaussType Quadratures The LaguerreGausstype quadrature
formulas, including LaguerreGauss and LaguerreGaussRadau rules, can be
derived from the general framework in Sect. 3.1. Theorem 7.1. Let {\", o” }}_0 be
the ... 

 books.google.com ... Laguerre Approximation Hermite Approximation Chebyshev Approximation
Properties of Orthogonal Polynomials. ... Interpolation Hermite Quadrature
Gaussian Quadrature Legendre—Gauss Quadrature LaguerreGauss
Quadrature ... 

 books.google.com Gaussian quadrature uses unequally spaced abscissas, and weights which can
easily be computed in Matlab. Gaussian ... In the following sections, we describe
GaussLaguerre, GaussLegendre, and GaussLobatto quadratures, and present
... 

 books.google.com Numerical integration, or "quadrature", has been treated with some degree of
detail in Numerical Recipes. ... abscissas and weights for Npoint Gauss
Legendre, GaussLaguerre, GaussHermite and Gauss Jacobi quadratures,
respectively. 

 books.google.com Gauss quadrature rule can be used to overcome this difficulty. However, it has
several approaches, such as • GaussLaguerre quadrature • GaussLagendre
quadrature • ChebyshevGauss quadrature • GaussKronrod quadrature •
Lobatto ... 

 books.google.com Then the quadrature convergence b modem) — new I 0 holds for an arbitrary
function f (x) for which the above integral exists. Proof. ... Also, LaguerreGauss
Quadrature (often also called GaussLaguerre Quadrature) [2, 8] is additionally ... 

 books.google.com 1 To the first integral we apply GaussLaguerre quadrature with dA(t) = £_1'
2e_tdt on R__, or rational GaussLaguerre with the same dA, and to the second
integral GaussEinstein quadrature (modified by the factor t1' 2). The errors ... 

 books.google.com Weighted Quadrature formula; 6.11. GaussLegendre quadrature formula; 6.12.
Fortran Programme for Gauss Quadrature Formula; 6.13 CProgamming for
Gauss Quadrature formula; 6.14. LaguerreGauss Quadrature; 6.15. Chebyshev
... 

 books.google.com Hence, we expect that Gauss—Laguerre is suitable for not too small Z. For
evaluating the integral in (5.110), Gautschi [79] suggests for Z Z 2 a generalized
Gauss—Laguerre quadrature rule with Laguerre parameter 0t I — %, and reports
that ... 

 books.google.com Numerical results may be checked against tables for GaussLegendre
quadrature in [11] and GaussLaguerre quadrature in [1]. In the Table, we
compare the abscissas and weights of the GaussLaguerre quadrature rule with
a = —0.50 and N ... 

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