Results 241 to 250 of about 884,568 (273)

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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Quadrature rules for Prandtl's integral equation

Computing, 1986
We construct an interpolatory quadrature formula of the type \[ \int^{1}_{-1}f'(x)/(y-x)dx\approx \sum^{n}_{i=1}w_{ni}(y)f(x_{ni}), \] where \(f(x)=(1- x)^{\alpha}(1+x)^{\beta}f_ 0(x)\), \(\alpha,\beta >0\), and \(\{x_{ni}\}\) are the n zeros of the n-th degree Chebyshev polynomial of the first kind, \(T_ n(x)\).
MONEGATO, Giovanni, Pennacchietti V.
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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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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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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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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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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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Forming a mixed quadrature rule using an anti-gaussian quadrature rule

Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 2017
Bibhu Prasad Singh, Rajani Ballav Dash
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On quadrature rules associated with Appell polynomials.

2002
A quadrature rule using Appell polynomials and generalizing both the Euler-Maclaurin quadrature formula and a similar quadrature rule, obtained by \textit{G. Bretti} and \textit{P. E. Ricci} [Georgian Math. J. 8, No. 3, 447--453 (2001; Zbl 0992.33004)], which makes use of Euler (instead of Bernoulli) numbers and even (instead of odd) derivatives of the
Bretti, Gabriella, He, Matthew, Ricci, Paolo E.   +2 more
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Quadrature Rules

2020
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