Results 231 to 240 of about 3,955 (267)

Asymptotic approximations from quadrature rules

Physical Review A, 1992
We examine the ability of one- and two-point Gauss-Laguerre quadratures in correctly describing the asymptotic behavior of Fourier transforms. We illustrate the effectiveness of this method with the example of the neon atomic form factor and compare it to the results obtained from the familiar expansion in terms of inverse powers of the independent ...
, Sagar, , Schmider, , Smith
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Adaptive quadrature rules for Galerkin BEM

Computers & Mathematics with Applications, 2022
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Generalized averaged Szegő quadrature rules

Journal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl Jagels, Lothar Reichel, Tunan Tang
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Euler Polynomials and the Related Quadrature Rule

Georgian Mathematical Journal, 2001
Some properties of Euler's polynomials are presented and the corresponding quadrature formula is constructed. Finally, two numerical examples are presented.
Bretti G, Ricci PE
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A Gauss quadrature rule for hypersingular integrals

Applied Mathematics and Computation, 2007
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Samir A. Ashour, Hany M. Ahmed
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A note on equal coefficient quadrature rules

Applied Mathematics and Computation, 2006
The authors introduce an integration formula with equal coefficients. They present a method based on Newton's equations and the concept of degree of precision to determine the nodes and the coefficients. Finally two examples are given.
S. M. Hashemiparast, M. R. Eslahchi, Mehdi Dehghan 0002   +2 more
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On a class of Gauss-like quadrature rules

Numerische Mathematik, 1994
The Gauss rules considered in this paper are for problems where the integrand and integration interval is fixed for a number of different weight functions. Problems like this arise in computer graphics computations, where it is desirable to minimize the number of required integrand evaluations.
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On Positive Quadrature Rules

1987
Recently Peherstorfer [1] derived a characterization of positive quadrature rules with knots in (a,b). An equivalent characterization will be presented using the positive definiteness of a matrix of moments. This is the one-dimensional case of a characterization of interpolatory cubature formulae, see, for example, [2] and [3].
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Stieltjes Polynomials and Related Quadrature Rules

SIAM Review, 1982
In this paper we present a survey of theoretical results (some of them new) and numerical evidence of others concerning Stieltjes polynomials, Kronrod schemes and their generalizations applied to integrals with a (classical) nonnegative weight function. The use of these schemes in automatic integration routines is briefly outlined.
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Simple Quadrature Rules

2014
In practice most definite integrals cannot be evaluated exactly. In such cases one must resort to various approximation methods, which can be quite complicated. Any method used to approximate a definite integral is called a quadrature rule. (Quadrature is any process used to construct a square equal in area to that of some given figure.) But in this ...
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