Results 21 to 30 of about 2,749,932 (104)
Several new quadrature formulas for polynomial integration in the triangle [PDF]
, 2005 We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the number of quadrature points $N$ be equal to the dimension of a
Mark Taylor (65647) +2 more
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Optimal Stochastic Quadrature Formulas For Convex Functions
, 1993 We study optimal stochastic (or Monte Carlo) quadrature formulas for convex functions. While nonadaptive Monte Carlo methods are not better than deterministic methods we prove that adaptive Monte Carlo methods are much better.
Erich Novak, Knut Petras
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Error estimation for quadrature formulas based on equally spaced nodes [PDF]
, 2006 The error estimation for quadrature formulas based on equally spaced nodes is discussed in this paper. The error estimates use embedded formulas and they are obtained for Newton‐Cotes and Hermitian quadrature formulas.
Plukiene, D. +5 more
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Quadrature Formulas with Multiple Nodes for Fourier Coeffcients [PDF]
, 2018 Gaussian quadrature formulas with multiple nodes and their optimal extensions for computing the Fourier coe cients, in expansions of functions with respect to a given system of orthogonal polynomials, are considered.
Spalević, Miodrag
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On asymptotically optimal weight quadrature formulas on classes of differentiable functions
, 2000 Досліджується задача про асимптотично оптимальні квадратурні формули з неперервною ваговою функцією на класах диференційовиих функцій.We investigate the problem of asymptotically optimal quadrature formulas with continuous weight function on classes of ...
Лигун, А.А. +1 more
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Weighted Optimal Formulas for Approximate Integration
Solutions to problems arising from much scientific and applied research conducted at the world level lead to integral and differential equations. They are approximately solved, mainly using quadrature, cubature, and difference formulas. Therefore, in the
Ikrom Jalolov, Kholmat Shadimetov
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. This paper studies the problem of construction of optimal quadrature formulas in the sense of Sard in the space . In this paper the quadrature sum consists of values of the integrand and its first derivative at nodes.
Kuziev, Sh.S, Nuraliev, F.A.
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Research on Optimal Quadrature Problems in the W2(9,0) Space
In this paper, we derive an explicit expression for the coefficients of optimal quadrature formulas that are exact for exponential trigonometric functions in the W2(9,0) space.
Ying Yang, Xuehua Li
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, 2014 An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges' sense [Numer. Math. 67 (1994), 271-288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied ...
Stanić, Marija +2 more
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OPTIMAL QUADRATURE FORMULA WITH DERIVATIVE
International Journal of Applied MathematicsThis article is devoted to the construction of optimal quadrature formulas with derivative in the space of differentiable functions using the Sobolev method. This quadrature formula consists of a linear combination of the values of the interval up to the second derivative of the function at all nodes.
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